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We encode the many-body wavefunction of a Bose-Einstein condensate (BEC) in the $N$-particle sector of an extended catalytic state. This catalytic state is a coherent state for the condensate mode and an arbitrary state for the modes…

Quantum Gases · Physics 2016-03-23 Zhang Jiang , Carlton M. Caves

In [Nat. Phys. 8, 325-330 (2012)], Trotzky et al. utilize ultracold atoms in an optical lattice to simulate the local relaxation dynamics of a strongly interacting Bose gas "for longer times than present classical algorithms can keep track…

Quantum Gases · Physics 2024-01-11 Paul Secular

We present the dynamics of rotating Bose Condensate galactic dark matter halos, made of an ultralight spinless boson. We restrict to the case of adding axisymmetric rigid rotation to initially spherically symmetric structures and show there…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-07 F. S. Guzman , F. D. Lora-Clavijo , J. J. Gonzalez-Aviles , F. J. Rivera-Paleo

We study turbulence and Bose-Einstein condensation (BEC) within the two-dimensional Gross-Pitaevski (GP) model. In the present work, we compute decaying GP turbulence in order to establish whether BEC can occur without forcing and if there…

Chaotic Dynamics · Physics 2015-06-26 Sergey Nazarenko , Miguel Onorato

In this work, we consider the numerical computation of ground states and dynamics of single-component Bose-Einstein condensates (BECs). The corresponding models are spatially discretized with a multiscale finite element approach known as…

Numerical Analysis · Mathematics 2024-05-24 Christian Döding , Patrick Henning , Johan Wärnegård

We apply the technique of reinforcement learning to the control of nonlinear matter waves. In this method, an agent controls the position, strength, and shape of an external Gaussian potential to create and manipulate quantized vortices in…

Quantum Gases · Physics 2020-07-15 Hiroki Saito

The Gross-Pitaevskii (GP) equation is a long-wavelength approach widely used to describe the dilute Bose-Einstein condensates (BEC). However, in many physical situations, such as higher densities, this approximation unlikely suffices hence…

Quantum Gases · Physics 2011-09-27 Alexander V. Avdeenkov , Konstantin G. Zloshchastiev

We develop a stochastic Gross-Pitaveskii theory suitable for the study of Bose-Einstein condensation in a {\em rotating} dilute Bose gas. The theory is used to model the dynamical and equilibrium properties of a rapidly rotating Bose gas…

Quantum Physics · Physics 2008-09-13 A. S. Bradley , C. W. Gardiner , M. J. Davis

We obtain equations of quantum hydrodynamic (QHD) for magnetized spin-1 neutral Bose-Einstein condensate (BEC). System of QHD equations contains the equation of magnetic moment evolution (an analog of the Bloch equation). We account…

Quantum Gases · Physics 2012-02-16 P. A. Andreev

A Bose-Einstein condensate (BEC) is a quantum fluid that gives rise to interesting shock wave nonlinear dynamics. Experiments depict a BEC that exhibits behavior similar to that of a shock wave in a compressible gas, eg. traveling fronts…

Other Condensed Matter · Physics 2009-11-11 M. A. Hoefer , M. J. Ablowitz , I. Coddington , E. A. Cornell , P. Engels , V. Schweikhard

We experimentally and numerically investigate thermalization processes of a trapped $^{87}$Rb Bose gas, initially prepared in a non-equilibrium state through partial Bragg diffraction of a Bose-Einstein condensate (BEC). The system evolves…

Quantum Gases · Physics 2018-07-18 D. J. Brown , A. V. H. McPhail , D. H. White , D. Baillie , S. K. Ruddell , M. D. Hoogerland

We develop our novel model of cosmology based on the Bose-Einstein condensation. This model unifies the Dark Energy and the Dark Matter, and predicts multiple collapse of condensation, followed by the final acceleration regime of cosmic…

Astrophysics · Physics 2009-06-23 Takeshi Fukuyama , Masahiro Morikawa , Takayuki Tatekawa

We present a kinetic description of Bose-Einstein condensation for particle systems being out of thermal equilibrium, which may happen for gluons produced in the early stage of ultra-relativistic heavy-ion collisions. The dynamics of bosons…

High Energy Physics - Phenomenology · Physics 2017-08-02 Kai Zhou , Zhe Xu , Pengfei Zhuang , Carsten Greiner

We investigate the existence of ground state solutions of a Gross-Pitaevskii equation modeling the dynamics of pumped Bose Einstein condensates (BEC). The main interest in such BEC comes from its important nature as macroscopic quantum…

Analysis of PDEs · Mathematics 2019-05-21 Hichem Hajaiej , Slim Ibrahim , Nader Masmoudi

We develop a minimal model for \textit{pulsar glitches} by introducing a solid-crust potential in the three-dimensional (3D) Gross-Pitaevskii-Poisson equation (GPPE), which we have used earlier to study gravitationally bound Bose-Einstein…

High Energy Astrophysical Phenomena · Physics 2020-05-28 Akhilesh Kumar Verma , Rahul Pandit , Marc E. Brachet

We study a finite-time thermodynamic refrigeration cycle realized numerically in three-dimensional, weakly interacting Bose-Einstein condensates (BECs). The setup consists of three spatially separated condensates -- system, piston, and…

We present an investigation of the fast decompression of a three-dimensional (3D) Bose-Einstein condensate (BEC) at finite temperature using an engineered trajectory for the harmonic trapping potential. Taking advantage of the scaling…

We revisit the time evolution of initially trapped Bose-Einstein condensates in the Gross-Pitaevskii regime. We show that the system continues to exhibit BEC once the trap has been released and that the dynamics of the condensate is…

Mathematical Physics · Physics 2025-07-09 Christian Brennecke , Wilhelm Kroschinsky

We investigated the impact of Non-Hermitian gravitational potentials on the spatial distribution of Bose-Einstein condensate (BEC) wave functions. Through numerical solutions of the Gross-Pitaevskii (GP) equation, we observed that the…

Atomic Physics · Physics 2025-01-20 Tie-Fu Zhang , Chengxi Li , Yitong Pei , Kai Liu , Wu-Ming Liu

We study the properties of Bose-Einstein Condensate (BEC) systems consisting of two scalars, focusing on both the case where the BEC is stellar scale as well as the case when it is galactic scale. After studying the stability of such…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-08 Huai-Ke Guo , Kuver Sinha , Chen Sun , Joshua Swaim , Daniel Vagie
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