Quantum dynamics of the phase of a Bose–Einstein condensate

Villain, P.; Lewenstein, Maciej; Dum, R.; You, Li; İmamoğlu, Ataç; Kennedy, Tom

doi:10.1080/09500349708231846

Cited by 36 publications

(60 citation statements)

References 45 publications

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“…From Eq. (22) with ∆N =N 1/2 (as the coherent state has a Poisson distribution for N ) we then find that the phase of the condensate order parameter is damped as exp[−N (dµ a /dN ) 2 t 2 /2h 2 ] as in [7].…”

Section: E the Steady State Case And Comparison With Previous Treatmmentioning

confidence: 99%

“…The treatment in [7] considers the absolute phase dynamics of a single condensate (in our formalism c b = 0) in a coherent state. When the condensate wavefunction is stationary one has simply θ a = −µ a t/h.…”

Section: E the Steady State Case And Comparison With Previous Treatmmentioning

confidence: 99%

“…Considerable attention has been devoted to the matter of the relative phase between two condensates: how this phase manifests itself in an interference experiment [2,3], how it can be established by measurement [4,5], and how it evolves in presence of atomic interactions [5][6][7] and in presence of particle losses [8].…”

Section: Introductionmentioning

confidence: 99%

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Binary mixtures of Bose-Einstein condensates: Phase dynamics and spatial dynamics

Sinatra

Castin

2000

The European Physical Journal D - Atomic, Molecular and Optical

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We investigate the relative phase coherence properties and the occurrence of demixing instabilities for two mutually interacting and time evolving Bose-Einstein condensates in traps. Our treatment naturally includes the additional decoherence effect due to fluctuations in the total number of particles. Analytical results are presented for the breathe-together solution, an extension of previously known scaling solution to the case of a binary mixture of condensates. When the three coupling constants describing the elastic interactions among the atoms in the two states are close to each other, a dramatic increase of the phase coherence time is predicted. Numerical results are presented for the parameters of the recent JILA experiments.

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Section: E the Steady State Case And Comparison With Previous Treatmmentioning

confidence: 99%

Section: E the Steady State Case And Comparison With Previous Treatmmentioning

confidence: 99%

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Binary mixtures of Bose-Einstein condensates: Phase dynamics and spatial dynamics

Sinatra

Castin

2000

The European Physical Journal D - Atomic, Molecular and Optical

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“…in order to see the phase collapse in the context of a toy model [33]. In this (bosonic) limit, we get the ordinary coherent state:…”

Section: Phase Collapse In a Bosonic Systemmentioning

confidence: 99%

“…A toy model [32,33] of the phase dynamics in the condensate mode is used for analyzing dephasing rates of coherent, squeezed and thermal-coherent condensates [34,35], together with another dephasing mechanism, the so called thin spectrum [36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Phase Diffusion of a q-Deformed Oscillator

Birol

Müstecaplıoğlu

2009

Symmetry

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Abstract:We examine the problem of phase diffusion rate in a U(1) global phase symmetry broken system, from the perspective of q-deformed oscillators where the deformation parameter represents the anharmonicity. It is shown that broken phase symmetry states, described by deformed coherent states, suffer phase diffusion at a rate determined by the deformation parameter. Analytical discussions are given for the case of weak deformations, while detailed numerical results are presented when strong anharmonicity is present in the system.

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