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June 09, 2014, at 09:50 AM by 139.80.236.40 -
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[[#entgblurb]]
!! Entanglement Generation
Generation of multipartite entanglement is an active area of quantum optics with applications in quantum information processing. Few mode systems of simultaneous downconverters are now being created and we are seeking to control and optimise the measurable entanglement resource for realistic experimental systems.
June 07, 2014, at 06:29 PM by 121.99.167.219 -
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Quatized vortices were observed in the degenerate Bose gas in 1998. With increasing control and scope for manipulation, experiments are now able to probe a wide new range of vortex physics, and address long standing questions from condensed matter physics regarding the nature of vortices, their interactions, statistics, and mechanisms of formation and decay. The SPGPE forms an important tool in this work, offering a description of two important physical effects that vortices are sensitive to: dissipation, and fluctuations.
to:
Quantized vortices were observed in the degenerate Bose gas in 1998. With increasing control and scope for manipulation, experiments are now able to probe a wide new range of vortex physics, and address long standing questions from condensed matter physics regarding the nature of vortices, their interactions, statistics, and mechanisms of formation and decay. The SPGPE forms an important tool in this work, offering a description of two important physical effects that vortices are sensitive to: dissipation, and fluctuations.
August 03, 2013, at 10:14 PM by 203.173.144.48 -
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(:youtube 5oa8e1JwEe8&NR=1 loop=1 autoplay=0:)
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(:youtube 5oa8e1JwEe8&NR=1 loop=1 autoplay=1:)
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%width=400px% http://maartenrutgers.org/science/turbulence/photos/fastest.jpg
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%width=380px% http://maartenrutgers.org/science/turbulence/photos/fastest.jpg
August 03, 2013, at 10:14 PM by 203.173.144.48 -
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%width=300px% http://maartenrutgers.org/science/turbulence/photos/fastest.jpg
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%width=400px% http://maartenrutgers.org/science/turbulence/photos/fastest.jpg
August 03, 2013, at 10:13 PM by 203.173.144.48 -
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%width=400px% http://maartenrutgers.org/science/turbulence/photos/fastest.jpg
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%width=300px% http://maartenrutgers.org/science/turbulence/photos/fastest.jpg
August 03, 2013, at 10:13 PM by 203.173.144.48 -
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[[http://maartenrutgers.org/science/turbulence/photos/fastest.jpg|'''Soap film turbulence''' image from Maarten Rutgers website]]
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[[http://maartenrutgers.org |'''Soap film turbulence''' image from Maarten Rutgers website]]
August 03, 2013, at 10:11 PM by 203.173.144.48 -
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[[http://maartenrutgers.org/science/turbulence/photos/fastest.jpg|'''Soap film turbulence''' from Maarten Rutgers website]]
[[http://maartenrutgers.org/science/turbulence/photos/ | http://maartenrutgers.org/science/turbulence/photos/fastest.jpg"Rutgers"]]
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[[http://maartenrutgers.org/science/turbulence/photos/fastest.jpg|'''Soap film turbulence''' image from Maarten Rutgers website]]
%width=400px% http://maartenrutgers.org/science/turbulence/photos/fastest.jpg
August 03, 2013, at 08:06 PM by 203.173.144.48 -
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[[http://maartenrutgers.org/science/turbulence/photos/ | http://maartenrutgers.org/science/turbulence/photos/fastest.jpg"Rutgers"]]
August 03, 2013, at 08:03 PM by 203.173.144.48 -
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Apparently low entropy states can thus emerge from chaotic motion. Maarten Rutgers developed some very clear experimental demonstrations of this phenomenon using soap films
[[http://maartenrutgers.org/science/turbulence/photos/fastest.jpg|'''Soap film turbulence''' from Maarten Rutgers website]]
August 03, 2013, at 07:49 PM by 203.173.144.48 -
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'''Air flow past a dragon fly'''
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[[http://www.nagare.or.jp/en/publications/nagare_multimedia/archive/2004.html|'''Air flow past a dragon fly''' from the Japanese Society of Fluid Mechanics]]
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[[http://www.nagare.or.jp/en/publications/nagare_multimedia/archive/2004.html|From Japanese Society of Fluid Mechanics]]
August 03, 2013, at 07:47 PM by 203.173.144.48 -
August 03, 2013, at 07:47 PM by 203.173.144.48 -
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In forced three dimensional turbulence, energy is transported from large to smaller scales through the decay of eddies via bending instability, as seen in this footage of a dragon fly.
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In forced three dimensional turbulence, energy is transported from large to smaller scales through the decay of eddies via bending instability, as seen in this footage of a dragon fly. This process is known as a ''Richardson cascade'', and an ideal cascade has an energy spectrum that takes a power law form, identified by Kolmogorov (and independently Onsager and Heisenberg) as '''E(k)~k'^-5/3^''''.
August 03, 2013, at 07:40 PM by 203.173.144.48 -
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In forced three dimensional turbulence, energy is transported from large to smaller scales through the decay of eddies via bending instability.
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In forced three dimensional turbulence, energy is transported from large to smaller scales through the decay of eddies via bending instability, as seen in this footage of a dragon fly.
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When the fluid is confined to two dimensions the bending instability is suppressed. The flow of energy reverses, and small eddies accumulate to form giant coherent structures, such as the Great Red Spot in the Jovian atmosphere.
August 03, 2013, at 07:37 PM by 203.173.144.48 -
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August 03, 2013, at 07:37 PM by 203.173.144.48 -
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August 03, 2013, at 07:36 PM by 203.173.144.48 -
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August 03, 2013, at 07:33 PM by 203.173.144.48 -
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'''Dragonfly wing turblence'''
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'''Air flow past a dragon fly'''
August 03, 2013, at 07:29 PM by 203.173.144.48 -
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'''Two dimensional turbulence'''
August 03, 2013, at 07:26 PM by 203.173.144.48 -
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August 03, 2013, at 07:25 PM by 203.173.144.48 -
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'''Three dimensional turbulence'''
In forced three dimensional turbulence, energy is transported from large to smaller scales through the decay of eddies via bending instability.

'''Dragonfly wing turblence'''
(:quicktime http://www2.nagare.or.jp/mm/2004/gallery/iida/mpeg/tombo-smoke.mpg width=512 height=272 LOOP=true autoplay=0:)

[[http://www.nagare.or.jp/en/publications/nagare_multimedia/archive/2004.html|From Japanese Society of Fluid Mechanics]]

'''Voyager 1 approach to Jupiter, 1979'''
(:youtube 5oa8e1JwEe8&NR=1 loop=1 autoplay=0:)
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!! Turbulence

'''Dragonfly wing turblence'''
(:quicktime http://www2.nagare.or.jp/mm/2004/gallery/iida/mpeg/tombo-smoke.mpg width=512 height=272 LOOP=true autoplay=0:)

[[http://www.nagare.or.jp/en/publications/nagare_multimedia/archive/2004.html|From Japanese Society of Fluid Mechanics]]

'''Voyager 1 approach to Jupiter, 1979'''
(:youtube 5oa8e1JwEe8&NR=1 loop=1 autoplay=0:)

[[#Dipolar_excitations]]
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August 03, 2013, at 05:55 PM by 203.173.144.48 -
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August 03, 2013, at 05:53 PM by 203.173.144.48 -
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[[#bec]]
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[[#becblurb]]
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[[#spgpe]]
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[[#sgpeblurb]]
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[[#2dqt]]
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[[#twodqtblurb]]
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[[#entg]
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[[#entgblurb]]
August 03, 2013, at 05:49 PM by 203.173.144.48 -
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!! Ultra-cold dilute-gas systems [[#bec]]
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[[#bec]]
!! Ultra-cold dilute-gas systems
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!! Stochastic Projected Gross-Pitaevskii theory [[#spgpe]]
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[[#spgpe]]
!! Stochastic Projected Gross-Pitaevskii theory
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!! Two dimensional quantum turbulence [[#2dqt]]
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[[#2dqt]]
!! Two dimensional quantum turbulence
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!! Entanglement Generation [[#entg]
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[[#entg]
!! Entanglement Generation
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[[Dipolar_excitations]]
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[[#Dipolar_excitations]]
August 03, 2013, at 05:43 PM by 203.173.144.48 -
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!! Ultra-cold dilute-gas systems
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!! Ultra-cold dilute-gas systems [[#bec]]
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!! Stochastic Projected Gross-Pitaevskii Equation
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!! Stochastic Projected Gross-Pitaevskii theory [[#spgpe]]
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!! Quantum vortices
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!! Two dimensional quantum turbulence [[#2dqt]]
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!! Entanglement Generation
to:
!! Entanglement Generation [[#entg]
August 17, 2012, at 11:23 AM by 139.80.236.34 -
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[[Dipolar_excitations]]
May 16, 2011, at 11:33 AM by 139.80.236.34 -
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%thumb width=250px% Attach:BECOtago.png  | [-A Bose-Einstein condensate forming as the gas cools (Otago University).-]
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%thumb width=250px% Attach:BECOtago.png  | [-A Bose-Einstein condensate forming as Rb87 is evaporatively cooled (Otago University).-]
May 12, 2011, at 04:20 PM by 139.80.236.34 -
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Bose-Einstein condensation of dilute Rubidium gas was observed in 1995, sparking intense experimental and theoretical effort on Bose and Fermi gases. For an ultra-cold, nearly pure BEC, the system is well described by treating it as a single highly occupied quantum state, leading to the Gross-Pitaevskii theory of superfluid BECs. The theory resembles the ordinary single-particle Schroedinger equation, with a modified effective potential that describes two-body scattering between the atoms in the cold collision regime.
to:
Bose-Einstein condensation of dilute Rubidium gas was observed in 1995, sparking intense experimental and theoretical effort on Bose and Fermi gases. For an ultra-cold, nearly pure BEC, the system is well described by treating it as a single highly occupied quantum state, leading to the Gross-Pitaevskii theory of superfluid BECs. The theory resembles the ordinary single-particle Schroedinger equation, with a modified effective potential that describes two-body scattering between the atoms in the cold collision regime. The Gross-Pitaevskii equation and its semi-classical generalizations have provided an adequate description of a wide range of low-temperature phenomena in dilute gas BECs.
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The Gross-Pitaevskii equation and its semi-classical generalizations have provided an adequate description of a wide range of low temperature phenomena in dilute gas BECs. However, relying as it does on the assumption that almost all of the atoms are in a single U(1) symmetry breaking ground state, the theory struggles to give a reasonable description as the system approaches the critical temperature. A powerful generalization of the GPE, namely the Stochastic Projected GPE, has been developed. The theory is a grand canonical finite temperature theory; it uses methods pioneered in quantum optics for treating open quantum systems, and achieves a consistent and practical treatment of reservoir interactions and UV-divergences in the field theory.
to:
Relying as it does on the assumption that almost all of the atoms are in a single U(1) symmetry breaking ground state, the GP-theory struggles to give a reasonable description as the system approaches the critical temperature. A powerful generalization of the GPE, namely the Stochastic Projected GPE, has been developed. The theory is a grand canonical finite temperature theory; it uses methods pioneered in quantum optics for treating open quantum systems, and achieves a consistent and practical treatment of reservoir interactions and UV-divergences in the field theory.
May 12, 2011, at 04:19 PM by 139.80.236.34 -
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Bose-Einstein condensation of dilute Rubidium gas was observed in 1995, sparking intense experimental and theoretical effort on Bose and Fermi gases. For an ultra-cold, nearly pure BEC, the system is well described by treating it as a single highly occupied quantum state, leading to the Gross-Pitaevskii theory of superfluid BECs.
to:
Bose-Einstein condensation of dilute Rubidium gas was observed in 1995, sparking intense experimental and theoretical effort on Bose and Fermi gases. For an ultra-cold, nearly pure BEC, the system is well described by treating it as a single highly occupied quantum state, leading to the Gross-Pitaevskii theory of superfluid BECs. The theory resembles the ordinary single-particle Schroedinger equation, with a modified effective potential that describes two-body scattering between the atoms in the cold collision regime.
May 12, 2011, at 04:17 PM by 139.80.236.34 -
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Bose-Einstein condensation of dilute Rubidium gas was observed in 1995, sparking intense experimental and theoretical effort on Bose and Fermi gases. A very successful theoretical approach for describing the zero-temperature limit of BECs is has been to assume there is a single highly occupied quantum state, leading to the Gross-Pitaevskii theory of superfluid BECs.
to:
Bose-Einstein condensation of dilute Rubidium gas was observed in 1995, sparking intense experimental and theoretical effort on Bose and Fermi gases. For an ultra-cold, nearly pure BEC, the system is well described by treating it as a single highly occupied quantum state, leading to the Gross-Pitaevskii theory of superfluid BECs.
May 12, 2011, at 04:15 PM by 139.80.236.34 -
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[-''Feb 2010.''-]
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May 12, 2011, at 04:15 PM by 139.80.236.34 -
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!! Ultra-cold dilute gas systems
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!! Ultra-cold dilute-gas systems
May 12, 2011, at 04:15 PM by 139.80.236.34 -
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>>rframe width=300px<<
%thumb width=300px% Attach:BECOtago.png  | [-A Bose-Einstein condensate forming (Otago University)-]
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>>rframe width=250px<<
%thumb width=250px% Attach:BECOtago.png  | [-A Bose-Einstein condensate forming as the gas cools (Otago University).-]
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Bose-Einstein condensation of dilute Rubidium gas was observed in 1995, sparking intense experimental and theoretical effort on Bose and Fermi gases.
The decay of a vortex in a non-rotating Bose
-Einstien condensate has been used as a sensitive test of theories of non-equilibrium dynamics at finite temperature in a recent article by honours student Sam Rooney, Ashton Bradley, and Blair Blakie. The Stochastic theory of reservoir interactions was found to provide the most complete description of vortex decay, predicting significantly shorter vortex lifetimes than theories that neglect either damping or noise.

The approach used in this work is also distinguished by having no fitting parameters, and hence may be of quantitative value for future experiments
.
to:
Bose-Einstein condensation of dilute Rubidium gas was observed in 1995, sparking intense experimental and theoretical effort on Bose and Fermi gases. A very successful theoretical approach for describing the zero-temperature limit of BECs is has been to assume there is a single highly occupied quantum state, leading to the Gross-Pitaevskii theory of superfluid BECs.
May 12, 2011, at 04:12 PM by 139.80.236.34 -
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Bose-Einstein condensation of dilute Rubidium gas was observed in 1995, sparking intense experimental and theoretical effort on Bose and Fermi gases.
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Bose-Einstein condensation of dilute Rubidium gas was observed in 1995, sparking intense experimental and theoretical effort on Bose and Fermi gases.
May 12, 2011, at 04:11 PM by 139.80.236.34 -
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%thumb width=300px% Attach:test.png  | [-A Bose-Einstein condensate forming (Otago University)-]
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%thumb width=300px% Attach:BECOtago.png  | [-A Bose-Einstein condensate forming (Otago University)-]
May 12, 2011, at 04:10 PM by 139.80.236.34 -
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%thumb width=300px% Attach:vDecay.png  | [-A Bose-Einstein condensate forming (Otago University)-]
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%thumb width=300px% Attach:test.png  | [-A Bose-Einstein condensate forming (Otago University)-]
May 12, 2011, at 04:10 PM by 139.80.236.34 -
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!! Vortex decay in a warm Bose-Einstein condensate
[[http://link.aps.org/doi/10.1103/PhysRevA.81.023630|Phys. Rev. A 81, 023630 (2010)]]
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%thumb width=300px% Attach:vDecay.png  | [-''Top:''Vortex decay scenarios in BECs at '''(a)''' T=0, '''(b)''' T << Tc, and '''(c)''' near Tc. ''Bottom:'' separation of the system into coherent and incoherent regions in the Stochastic Projected Gross-Pitaevskii theory.-]
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%thumb width=300px% Attach:vDecay.png  | [-A Bose-Einstein condensate forming (Otago University)-]
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!! Vortex decay in a warm Bose-Einstein condensate
[[http://link.aps.org/doi/10.1103/PhysRevA.81.023630|Phys. Rev. A 81, 023630 (2010)]]
>>rframe width=300px<<
%thumb width=300px% Attach:vDecay.png  | [-''Top:''Vortex decay scenarios in BECs at '''(a)''' T=0, '''(b)''' T << Tc, and '''(c)''' near Tc. ''Bottom:'' separation of the system into coherent and incoherent regions in the Stochastic Projected Gross-Pitaevskii theory.-]
>><<

The decay of a vortex in a non-rotating Bose-Einstien condensate has been used as a sensitive test of theories of non-equilibrium dynamics at finite temperature in a recent article by honours student Sam Rooney, Ashton Bradley, and Blair Blakie. The Stochastic theory of reservoir interactions was found to provide the most complete description of vortex decay, predicting significantly shorter vortex lifetimes than theories that neglect either damping or noise.

The approach used in this work is also distinguished by having no fitting parameters, and hence may be of quantitative value for future experiments.

[[<<]]
[-''Feb 2010.''-]
May 12, 2011, at 04:08 PM by 139.80.236.34 -
May 12, 2011, at 04:08 PM by 139.80.236.34 -
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Bose-Einstein condensation of dilute gas Rubidium was observed in 1995.
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Bose-Einstein condensation of dilute Rubidium gas was observed in 1995, sparking intense experimental and theoretical effort on Bose and Fermi gases.
May 12, 2011, at 04:07 PM by 139.80.236.34 -
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!! Ultra-cold dilute gas systems
Bose-Einstein condensation of dilute gas Rubidium was observed in 1995.

December 17, 2010, at 02:02 PM by 139.80.236.34 -
December 15, 2010, at 02:37 PM by 139.80.236.34 -
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December 15, 2010, at 09:50 AM by 139.80.236.34 -
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December 15, 2010, at 09:50 AM by 139.80.236.34 -
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'''Dragonfly wing turblence'''
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'''Voyager 1 approach to Jupiter, 1979'''
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'''Voyager 1 approach to Jupiter, 1979'''
December 15, 2010, at 09:49 AM by 139.80.236.34 -
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(:youtube 5oa8e1JwEe8&NR=1 loop=1 autoplay=1:)

'''Voyager 1 approach to Jupiter, 1979'''
December 15, 2010, at 09:47 AM by 139.80.236.34 -
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[[http://www.nagare.or.jp/en/publications/nagare_multimedia/archive/2004.html|From Japanese Society of Fluid Mechanics]]
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[[http://www.nagare.or.jp/en/publications/nagare_multimedia/archive/2004.html|From Japanese Society of Fluid Mechanics]]

(:youtube 5oa8e1JwEe8&NR=1 loop=1:)
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December 15, 2010, at 09:28 AM by 139.80.236.34 -
December 14, 2010, at 06:14 PM by 139.80.236.34 -
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The Gross-Pitaevskii equation and its semi-classical generalizations have provided an adequate description of a wide range of low temperature phenomena in dilute gas BECs. However, relying as it does on the assumption that almost all of the atoms are in a single U(1) symmetry breaking ground state, the theory struggles to give a reasonable description as the system approaches the critical temperature. A powerful generalization of the GPE, namely the Stochastic Projected GPE, has been developed [1]. The theory is a grand canonical finite temperature theory; it uses methods pioneered in quantum optics for treating open quantum systems, and achieves a consistent and practical treatment of reservoir interactions and UV-divergences in the field theory.
to:
The Gross-Pitaevskii equation and its semi-classical generalizations have provided an adequate description of a wide range of low temperature phenomena in dilute gas BECs. However, relying as it does on the assumption that almost all of the atoms are in a single U(1) symmetry breaking ground state, the theory struggles to give a reasonable description as the system approaches the critical temperature. A powerful generalization of the GPE, namely the Stochastic Projected GPE, has been developed. The theory is a grand canonical finite temperature theory; it uses methods pioneered in quantum optics for treating open quantum systems, and achieves a consistent and practical treatment of reservoir interactions and UV-divergences in the field theory.
December 14, 2010, at 06:13 PM by 139.80.236.34 -
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December 14, 2010, at 06:13 PM by 139.80.236.34 -
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[[http://www.nagare.or.jp/en/publications/nagare_multimedia/archive/2004.html|From Japanese Society of Fluid Mechanics]]
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December 14, 2010, at 06:04 PM by 139.80.236.34 -
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!! Turbulence
(:quicktime http://www2.nagare.or.jp/mm/2004/gallery/iida/mpeg/tombo-smoke.mpg width=512 height=256:)
http://www2.nagare.or.jp/mm/2004/gallery/iida/mpeg/tombo-smoke.mpg
December 13, 2010, at 05:59 PM by 139.80.236.34 -
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The Gross-Pitaevskii equation and it's semi-classical generalizations has provided an adequate description of a wide range of low temperature phenomena in dilute gas BECs. However, relying as it does on the assumption that almost all of the atoms are in a single U(1) symmetry breaking ground state, the theory struggles to give a reasonable description as the system approaches the critical temperature. A powerful generalization of the GPE, namely the Stochastic Projected GPE, has been developed [1]. The theory is a grand canonical finite temperature theory; it uses methods pioneered in quantum optics for treating open quantum systems, and achieves a consistent and practical treatment of reservoir interactions and UV-divergences in the field theory.
to:
The Gross-Pitaevskii equation and its semi-classical generalizations have provided an adequate description of a wide range of low temperature phenomena in dilute gas BECs. However, relying as it does on the assumption that almost all of the atoms are in a single U(1) symmetry breaking ground state, the theory struggles to give a reasonable description as the system approaches the critical temperature. A powerful generalization of the GPE, namely the Stochastic Projected GPE, has been developed [1]. The theory is a grand canonical finite temperature theory; it uses methods pioneered in quantum optics for treating open quantum systems, and achieves a consistent and practical treatment of reservoir interactions and UV-divergences in the field theory.
December 13, 2010, at 03:18 PM by 139.80.236.34 -
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!! Projected Gross-Pitaevskii Equation
December 13, 2010, at 12:28 PM by 139.80.236.34 -
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It is good.
December 08, 2010, at 04:17 PM by 139.80.236.34 -
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We are generalizing and applying the SPGPE to a range of high temperature BEC phenomena, including vortex formation and decay, critical phenomena, topological defect formation during the transition, spinor BECs, dipolar BECs, and persistent current formation and stability.
to:
We are generalizing and applying the SPGPE to a range of high temperature BEC phenomena, including vortex formation and decay, critical phenomena, topological defect formation during the transition, spinor BECs, dipolar BECs, and persistent current formation and stability.


!! Quantum vortices
Quatized vortices were observed in the degenerate Bose gas in 1998. With increasing control and scope for manipulation, experiments are now able to probe a wide new range of vortex physics, and address long standing questions from condensed matter physics regarding the nature of vortices, their interactions, statistics, and mechanisms of formation and decay. The SPGPE forms an important tool in this work, offering a description of two important physical effects that vortices are sensitive to: dissipation, and fluctuations.

 
!! Entanglement Generation
Generation of multipartite entanglement is an active area of quantum optics with applications in quantum information processing. Few mode systems of simultaneous downconverters are now being created and we are seeking to control and optimise the measurable entanglement resource for realistic experimental systems
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December 08, 2010, at 04:16 PM by 139.80.236.34 -
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!! Projected Gross-Pitaevskii Equation
It is good.

December 08, 2010, at 04:15 PM by 139.80.236.34 -
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!! Stochastic Projected Gross-Pitaevskii Equation
The Gross-Pitaevskii equation and it's semi-classical generalizations has provided an adequate description of a wide range of low temperature phenomena in dilute gas BECs. However, relying as it does on the assumption that almost all of the atoms are in a single U(1) symmetry breaking ground state, the theory struggles to give a reasonable description as the system approaches the critical temperature. A powerful generalization of the GPE, namely the Stochastic Projected GPE, has been developed [1]. The theory is a grand canonical finite temperature theory; it uses methods pioneered in quantum optics for treating open quantum systems, and achieves a consistent and practical treatment of reservoir interactions and UV-divergences in the field theory.

The SPGPE theory has the advantage that chemical potential and temperature are control parameters of the theory, which greatly simplifies many practical calculations.

We are generalizing and applying the SPGPE to a range of high temperature BEC phenomena, including vortex formation and decay, critical phenomena, topological defect formation during the transition, spinor BECs, dipolar BECs, and persistent current formation and stability.
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