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We discuss typical experimental signatures for the Bose-Einstein condensation (BEC) of an ultracold Bose gas in an inhomogeneous optical lattice at finite temperature. Applying the Hartree-Fock-Bogoliubov-Popov formalism, we calculate…

Quantum Gases · Physics 2014-09-08 Ke-Ji Chen , Jingkun Wang , Wei Yi , Wei Zhang

A periodically kicked ring of a Bose-Einstein condensate is considered as a nonlinear generalization of the quantum kicked rotor. For weak interactions between atoms, periodic motion (anti-resonance) becomes quasiperiodic (quantum beating)…

Soft Condensed Matter · Physics 2009-11-10 Chuanwei Zhang , Jie Liu , Mark G. Raizen , Qian Niu

Recent results on effects of Bose-Einstein symmetrization in a system of independently produced particles are interpreted in terms of statistical physics. For a large class of distributions, the effective sizes of the system in momentum and…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Bialas , K. Zalewski

We investigate numerically the momentum density and phase maps $-$in coordinate and momentum space$-$ of a two dimensional Bose-Einstein condensate (BEC) excited by a moving red-detuned laser potential. The BEC is confined in a harmonic…

Quantum Gases · Physics 2021-07-27 Roger R. Sakhel , Asaad R. Sakhel , Humam B. Ghassib

We investigate the properties of Bose-Einstein condensates (BECs) in a two-dimensional quasi-periodic optical lattice (OL) with eightfold rotational symmetry by numerically solving the Gross-Pitaevskii equation. In a stationary external…

Quantum Gases · Physics 2020-09-07 Zhen-Xia Niu , Yonghang Tai , Junsheng Shi , Wei Zhang

We measure the intensity correlation function of two interfering spatially displaced copies of a phase fluctuating Bose-Einstein Condensate (BEC). It is shown that this corresponds to a measurement of the phase correlation properties of the…

Soft Condensed Matter · Physics 2009-11-10 D. Hellweg , L. Cacciapuoti , M. Kottke , T. Schulte , K. Sengstock , W. Ertmer , J. J. Arlt

We consider dynamical stabilization of Bose-Einstein condensates (BEC) by time-dependent modulation of the scattering length. The problem has been studied before by several methods: Gaussian variational approximation, the method of moments,…

Other Condensed Matter · Physics 2013-05-29 Alexander Itin , Shinichi Watanabe , Toru Morishita

We study Bose-Einstein condensation (BEC) in one-dimensional noninteracting Bose gases in Poisson random potentials on $\mathbb R$ with single-site potentials that are nonnegative, compactly supported, and bounded measurable functions in…

Mathematical Physics · Physics 2021-01-01 Maximilian Pechmann

We develop a simple analytical model based on a variational method to explain the properties of trapped cylindrically symmetric Bose-Einstein condensates (BEC) of varying degrees of anisotropy well into regimes of effective one dimension…

Statistical Mechanics · Physics 2009-11-07 Kunal Das

Quantum vortices naturally emerge in rotating Bose-Einstein condensates (BECs) and, similarly to their classical counterparts, allow the study of a range of interesting out-of-equilibrium phenomena like turbulence and chaos. However, the…

Quantum Gases · Physics 2021-06-17 Friederike Metz , Juan Polo , Natalya Weber , Thomas Busch

We study the quantum many-body dynamics of a Bose-Einstein condensate (BEC) on the lattice in the mean-field regime. We derive a local enhancement of the mean-field approximation: At positive distance $\rho>0$ from the initial BEC, the…

Mathematical Physics · Physics 2024-12-19 Marius Lemm , Simone Rademacher , Jingxuan Zhang

The dynamics of weakly interacting three-dimensional Bose-Einstein condensates (BECs), trapped in external axially symmetric plus anharmonic distortion potential are studied. Within a variational approach and time-dependent Gross-Pitaevskii…

Quantum Gases · Physics 2022-07-01 Hamid Al-Jibbouri

We present a framework for designing optimal optical pulses for the matter-wave splitting of a Bose-Einstein Condensate (BEC) under the influence of experimental inhomogeneities, so that the sample is transferred from an initial rest…

Optimization and Control · Mathematics 2024-03-01 Andre Luiz P. de Lima , Andrew K. Harter , Michael J. Martin , Anatoly Zlotnik

We discuss the dynamics of a quantum phase transition in a spin-1 Bose-Einstein condensate when it is driven from the magnetized broken-symmetry phase to the unmagnetized ``symmetric'' polar phase. We determine where the condensate goes out…

Other Condensed Matter · Physics 2009-11-13 Bogdan Damski , Wojciech H. Zurek

The low-temperature properties of certain quantum magnets can be described in terms of a Bose-Einstein condensation (BEC) of magnetic quasiparticles (triplons). Some mean-field approaches (MFA) to describe these systems, based on the…

Quantum Gases · Physics 2017-11-22 Asliddin Khudoyberdiev , Abdulla Rakhimov , Andreas Schilling

The temporal evolution of a perturbation of the equilibrium distribution of a condensed Bose gas is investigated using the kinetic equation which describes collision between condensate and noncondensate atoms. The dynamics is studied in the…

Quantum Gases · Physics 2011-02-01 Miguel Escobedo , Federica Pezzotti , Manuel Valle

We study the dynamic behavior of a Bose-Einstein condensate (BEC) containing a dark soliton separately reflected from potential drops and potential barriers. It is shown that for a rapidly varying potential and in a certain regime of…

Quantum Gases · Physics 2020-10-01 Dongmei Wang , Bo Xiong , Tao Yang

The anisotropy of a trap potential can impact the density and variance of a Bose-Einstein condensate (BEC) in an opposite manner. We exemplify this effect for both the ground state and out-of-equilibrium dynamics of structureless bosons…

We consider circular motion of a heavy object in an atomic Bose-Einstein condensate (BEC) at $T=0{\rm K}$. Even if the linear velocity of the object is smaller than the Landau critical velocity, the object may radiate quasiparticles and…

Other Condensed Matter · Physics 2009-11-13 Hiromitsu Takeuchi , Makoto Tsubota , Grigory E. Volovik

We study the large deviations behavior of systems that admit a certain form of a product distribution, which is frequently encountered both in Physics and in various information system models. First, to fix ideas, we demonstrate a simple…

Statistical Mechanics · Physics 2015-05-14 Neri Merhav , Yariv Kafri