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We propose a method of measuring diffusion of the relative phase between two Bose-Einstein condensates occupying different nuclear or spin hyperfine states coupled by a two-photon transition via an intermediate level. Due to the macroscopic…

Condensed Matter · Physics 2009-10-31 Janne Ruostekoski , Dan F. Walls

We investigate phase diffusion of a two-component Bose-Einstein condensates prepared initially in arbitrary coherent spin state $|\theta_0,\phi_0\rangle$. Analytical expression of the phase-diffusion time is presented for…

Quantum Gases · Physics 2015-05-20 G. R. Jin , B. B. Wang , Y. W. Lu

We show that the phase of a condensate in a finite temperature gas spreads linearly in time at long times rather than in a diffusive way. This result is supported by classical field simulations, and analytical calculations which are…

Other Condensed Matter · Physics 2007-05-23 Alice Sinatra , Yvan Castin , Emilia Witkowska

We study phase diffusion in a Bose-Einstein condensate of light in a dye-filled optical microcavity, i.e., the spreading of the probability distribution for the condensate phase. To observe this phenomenon, we propose an interference…

Quantum Gases · Physics 2017-07-04 A. -W. de Leeuw , E. C. I. van der Wurff , R. A. Duine , H. T. C. Stoof

The correlation function of the quantum fluctuations due to collective excitations is calculated and used to investigate the phase diffusion of a Bose-Einstein condensate close to zero temperature. It is shown that the phase diffusion time…

Soft Condensed Matter · Physics 2015-06-24 Hongwei Xiong , Shujuan Liu , Guoxiang Huang

We report on the measurement of the momentum distribution of an elongated Bose-Einstein condensate. A broadening of the distribution with increasing temperature is observed, which is clear evidence for phase fluctuations in the sample.

Condensed Matter · Physics 2007-05-23 F. Gerbier , S. Richard , J. H. Thywissen , M. Hugbart , P. Bouyer , A. Aspect

We investigate the atomic diffractions of a Bose-Einstein condensate in quantized light fields. Situations in which the light fields are in number states or coherent states are studied theoretically. Analytical derivation and numerical…

Quantum Gases · Physics 2013-05-29 Peng Zhang , Jian-Hua Wu , Zhao-Yuan Ma , Heng Fan , Wu-Ming Liu

A quantum phase transition between the symmetric (polar) phase and the phase with broken symmetry can be induced in a ferromagnetic spin-1 Bose-Einstein condensate in space (rather than in time). We consider such a phase transition and show…

Statistical Mechanics · Physics 2015-05-13 Bogdan Damski , Wojciech H. Zurek

We study the detailed out of equilibrium time evolution of a homogeneous Bose-Einstein condensate.We consider a nonrelativistic quantum theory for a self-interacting complex scalar field, immersed in a thermal bath, as an effective…

Soft Condensed Matter · Physics 2009-10-31 Daniel G. Barci , E. S. Fraga , Rudnei O. Ramos

The condensate number distribution during the transition of a dilute, weakly interacting gas of N=200 bosonic atoms into a Bose-Einstein condensate is modeled within number conserving master equation theory of Bose-Einstein condensation.…

Quantum Physics · Physics 2012-12-27 Alexej Schelle

We discuss the quantum phases and their diffusion in a spinor-1 atomic Bose-Einstein condensate. For ferromagnetic interactions, we obtain the exact ground state distribution of the phase fluctuations corresponding to the total atom number…

Condensed Matter · Physics 2009-11-10 S. Yi , Ö. E. Müstecaplıoğlu , L. You

We calculate the quantum phase transition for a homogeneous Bose gas in the plane of s-wave scattering length a_s and temperature T. This is done by improving a one-loop result near the interaction-free Bose-Einstein critical temperature…

Condensed Matter · Physics 2015-06-24 Hagen Kleinert , Sebastian Schmidt , Axel Pelster

The final stage of Bose-Einstein condensation in a large volume occurs through coarsening--growth of individual correlated patches. We present analytical arguments and numerical evidence that in the momentum space this growth corresponds to…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Khlebnikov

A quantitative quantum field approach with non-local order parameters is presented for a very weakly interacting, dilute Bose gas. Within the presented model, which assumes the constraint of particle number conservation at constant average…

Quantum Gases · Physics 2025-03-28 Alexej Schelle

We discuss dynamics of a slow quantum phase transition in a spin-1 Bose-Einstein condensate. We determine analytically the scaling properties of the system magnetization and verify them with numerical simulations in a one dimensional model.

Other Condensed Matter · Physics 2008-11-26 Bogdan Damski , Wojciech H. Zurek

At finite temperatures below the phase transition point, the Bose-Einstein condensation, the macroscopic occupation of a single quantum state by particles of integer spin, is not complete. In the language of superfluid helium, this means…

Mathematical Physics · Physics 2015-09-16 Dionisios Margetis

Temporal coherence is a fundamental property of macroscopic quantum systems, such as lasers in optics and Bose-Einstein condensates in atomic gases and it is a crucial issue for interferometry applications with light or matter waves.…

Quantum Gases · Physics 2015-05-13 Alice Sinatra , Yvan Castin , Emilia Witkowska

We study the Bose-Einstein condensation phase transition in a weakly interacting gas through a perturbative analysis of finite systems. In both the grand canonical and the canonical ensembles, perturbation theory suffers from infrared…

Statistical Mechanics · Physics 2009-11-07 Erich J. Mueller , Gordon Baym , Markus Holzmann

Bose-Einstein condensation represents a remarkable phase transition, characterized by the formation of a single quantum subsystem. As a result, the statistical properties of the condensate are highly unique. In the case of a Bose gas, while…

We study a Bose-Einstein condensate at the low energy limit and show that their collective dynamics exhibit interesting quantum dynamical behavior. The system undergoes a dynamical quantum phase transition after a sudden quench into a…

Quantum Physics · Physics 2019-11-26 Mehdi Abdi
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