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We apply an analytical model for anisotropic, colliding Bose-Einstein condensates in a spontaneous four wave mixing geometry to evaluate the second order correlation function of the field of scattered atoms. Our approach uses quantized…

Other Condensed Matter · Physics 2009-11-13 J. Chwedenczuk , P. Zin , M. Trippenbach , A. Perrin , V. Leung , D. Boiron , C. I. Westbrook

Collapse in dipolar Bose-Einstein condensates may be arrested by quantum fluctuations. Due to the anisotropy of the dipole-dipole interactions, the dipole-driven collapse induced by soft excitations is compensated by the repulsive…

Quantum Gases · Physics 2016-06-29 F. Wächtler , L. Santos

We study the collapse of a many-body system which is used to model two-component Bose-Einstein condensates with attractive intra-species interactions and either attractive or repulsive inter-species interactions. Such a system consists a…

Mathematical Physics · Physics 2020-05-04 Dinh-Thi Nguyen

We present a microscopic theory of the second order phase transition in an interacting Bose gas that allows one to describe formation of an ordered condensate phase from a disordered phase across an entire critical region continuously. We…

Statistical Mechanics · Physics 2015-11-27 Vitaly V. Kocharovsky , Vladimir V. Kocharovsky

Describing partially-condensed Bose gases poses a long-standing theoretical challenge. We present exact stochastic Ehrenfest relations for the stochastic projected Gross-Pitaevskii equation, including both number and energy damping…

Quantum Gases · Physics 2020-02-19 Rob G. McDonald , Peter S. Barnett , Fradom Atayee , Ashton S. Bradley

The focusing of a propagating untrapped Bose-Einstein condensate is studied theoretically. We use a scaling solution method comprising a time-dependent scaling function to analytically examine the dynamics of a falling Bose-Einstein…

Quantum Gases · Physics 2021-12-14 R. Richberg , A. M. Martin

Quantum phenomena appear in a macroscopic scale in Bose-Einstein condensates. The Gross-Pitaevskii (GP) equation describes the dynamics of the weakly interacting Bose-Einstein condensates. The GP equation has a form of the Schroedinger…

Quantum Gases · Physics 2021-03-26 Hidetsugu Sakaguchi , Fumihide Hirano

A negative effective mass can be realized in quantum systems by engineering the dispersion relation. A powerful method is provided by spin-orbit coupling, which is currently at the center of intense research efforts. Here we measure an…

We analyze the possible transition patterns exhibited by an effective non-relativistic field model describing interacting binary homogeneous dilute Bose gases whose overall potential is repulsive. We evaluate the temperature dependence of…

Soft Condensed Matter · Physics 2007-05-23 Marcus B. Pinto , Rudnei O. Ramos , Frederico F. de Souza Cruz

Dynamics of fluctuations in unstable Bose-Einstein condensates is analyzed by the solution of approximate operator equations. In the case of a condensate with a negative scattering length the present treatment describes a delay of collapse,…

Condensed Matter · Physics 2009-11-07 V. A. Yurovsky

A mixture of two kinds of identical bosons held in a harmonic potential and interacting by harmonic particle-particle interactions is discussed. This is an exactly-solvable model of a mixture of two trapped Bose-Einstein condensates which…

Quantum Gases · Physics 2017-02-14 Shachar Klaiman , Alexej I. Streltsov , Ofir E. Alon

This paper employs a Bose-Einstein condensates to simulate the dynamical response of bound electrons in a strongly oscillating pulsed laser field. We investigate the excitation dynamics of Bose-Einstein condensates with repulsive…

Quantum Gases · Physics 2026-02-09 Ziheng Ma , Jia Li , Rui Jin , Yajiang Hao

We investigate a Bose gas with finite-range interaction using a scheme to eliminate unphysical processes in the T-matrix approximation. In this way the corrected T-matrix becomes suitable to calculate properties below the critical…

Statistical Mechanics · Physics 2010-03-11 M. Männel , K. Morawetz , P. Lipavský

We studied spin-dependent two-body inelastic collisions in F=2 87Rb Bose-Einstein condensates both experimentally and theoretically. The 87Rb condensates were confined in an optical trap and selectively prepared in various spin states in…

We study the behavior of two coupled purely dipolar Bose-Einstein condensates, each located in a cylindrically symmetric pancake-shaped external confining potential, as the separation b between the traps along the tight confining direction…

Quantum Gases · Physics 2015-05-20 M. Asad-uz-Zaman , D. Blume

We consider dynamics of Bose-Einstein condensates with long-range attractive interaction proportional to $1/r^b$ and arbitrary angular dependence. It is shown exactly that collapse of Bose-Einstein condensate without contact interactions is…

Pattern Formation and Solitons · Physics 2010-10-21 Pavel M. Lushnikov

Fluctuations of the number of condensed atoms in a finite-size, weakly interacting Bose gas confined in a box potential are investigated for temperatures up to the critical region. The canonical partition functions are evaluated using a…

Statistical Mechanics · Physics 2015-05-13 Z. Idziaszek , L. Zawitkowski , M. Gajda , K. Rzazewski

Bose condensation of interacting bosons in a two-dimensional random potential is studied. The Gross-Pitaevskii equation is solved to determine the spatially-varying order parameter and the localization length as a function of the disorder,…

Quantum Physics · Physics 2007-05-23 Dmitri E. Nikonov , Atac Imamoglu

Using the linearized version of the time dependent Gross-Pitaevskii equation we calculate the dynamic response of a Bose-Einstein condensed gas to periodic density and particle perturbations. The zero temperature limit of the…

Quantum Gases · Physics 2019-02-20 Sandro Stringari

We consider a system of $N$ bosons interacting in a three-dimensional box endowed with periodic boundary condition that is strongly confined in one direction such that the normalized thickness of the box $d\ll1$. We assume particles to…

Mathematical Physics · Physics 2025-07-01 Xuwen Chen , Jiahao Wu , Zhifei Zhang