Non-Abelian Josephson Effect between Two<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math>Spinor Bose-Einstein Condensates in Double Optical Traps

The thermodynamical properties of interacting Bose atoms in a harmonic potential are studied within the mean-field approximation. For weak interactions, the quantum statistics is equivalent to an ideal gas in an effective mean-field potential. The eigenvalue of the Gross-Pitaevskii equation is identified as the chemical potential of the ideal gas. The condensation temperature and density profile of atoms are calculated. It is found that the critical temperature Tc decreases as the interactions increase. Below the critical point, the condensation fraction exhibits a universal relation of N0/N = 1 − (T /Tc) γ , with the index γ ≈ 2.3 independent of the interaction strength, the chemical potential, as well as the frequency of the confining potential.

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“…Excluding the possibility of aggregate motion and vortices, the stationary state of Φ(r) satisfies the generalized GP equation [25][26][27] …”

Section: Mean-field Theorymentioning

confidence: 99%

Thermodynamical Properties of a Trapped Interacting Bose Gas

2012

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“…The weakly interacting BECs provide a further context [46][47][48] for JEs in superconductor systems because they display a nonlinear generalization of typical d.c. and a.c. JEs and macroscopic quantum selftrapping, all of which have been observed in experiments [49][50][51]. Apart from the conventional single-species BECs [45][46][47][48], the Josephson dynamics of two-species BECs [52] and spinor BECs without SO coupling [53] have also been studied [54][55][56][57]; however, the dynamics of SO coupled BECs is yet to be explored.…”

Section: Introductionmentioning

confidence: 99%

Josephson dynamics of a spin-orbit-coupled Bose-Einstein condensate in a double-well potential

Zhang

Wang

et al. 2012

Phys. Rev. A

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We investigate the quantum dynamics of an experimentally realized spin-orbit coupled BoseEinstein condensate in a double well potential. The spin-orbit coupling can significantly enhance the atomic inter-well tunneling. We find the coexistence of internal and external Josephson effects in the system, which are moreover inherently coupled in a complicated form even in the absence of interatomic interactions. Moreover, we show that the spin-dependent tunneling between two wells can induce a net atomic spin current referred as spin Josephson effects. Such novel spin Josephson effects can be observable for realistically experimental conditions.

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“…The study of the quantum statistics for an assembly of bosonic or fermionic linear simple-harmonic oscillators can be dated back to 1946 [1], which firstly pointed out that the partition functions familiar in the theory of numbers has to be inevitably invoked. Since 1996, there have been intensive experimental or theoretical studies of the BEC [4,10,12,17]. Within the framework of the microcanonical ensembles, there are also a lot of theoretical investigations for bosons [20] or fermions [13] in a single harmonic trap, but the crossover from quantum to Boltzmann statistics has not been explicitly noticed before.…”

Section: Introductionmentioning

confidence: 99%

Crossover from Quantum to Boltzmann Statistics for Free Particles in a Single Harmonic Trap

et al. 2011

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With invoking analytical formulae in number theory and numerical calculations, we calculate the number of microstates in microcanonical ensemble for free particles in a single harmonic trap which in whole space defines a thermodynamic system but not a spatially homogeneous one. Once the number of excitation quanta m is larger than the square of the particle number N 2 as m O(N 2 ) when N 1, the number of microcanonical microstates for an ideal, harmonically trapped Bose or Fermi gas gradually converge to the Boltzmann microcanonical microstates for the classical particles with a proper consideration of the indistinguishability.

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Non-Abelian Josephson Effect between TwoF=2Spinor Bose-Einstein Condensates in Double Optical Traps

Cited by 127 publications

References 24 publications

Thermodynamical Properties of a Trapped Interacting Bose Gas

Thermodynamical Properties of a Trapped Interacting Bose Gas

Josephson dynamics of a spin-orbit-coupled Bose-Einstein condensate in a double-well potential

Crossover from Quantum to Boltzmann Statistics for Free Particles in a Single Harmonic Trap

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