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We study the dynamics of a Bose-Einstein condensate (BEC) in a one dimensional optical lattice in the limit of weak atom-atom interactions. Numerically we find that a BEC may develop a pulsating instability in which atoms nearly…

Other Condensed Matter · Physics 2009-09-29 Uttam Shrestha

The dynamical properties of partially coherent Bose-Einstein condensates in double wells are investigated in three typical regimes. In the extreme Fock regime, the time evolution of the degree of coherence is shown to decay rapidly. In the…

Quantum Gases · Physics 2010-01-21 Li-Hua Lu , You-Quan Li

We consider a Bose-Einstein bicondensate (BEC) of $^{87}Rb$, trapped in two different internal levels, in a situation where the density undergoes a symmetry breaking in momentum space. This occurs for a suitable number of condensed atoms…

Quantum Gases · Physics 2011-11-15 A. Montina , F. T. Arecchi

The study of structures involving vortices in one component and bright solitary waves in another has a time-honored history in two-component atomic Bose-Einstein condensates. In the present work, we revisit this topic extending…

Pattern Formation and Solitons · Physics 2025-03-24 J. D'Ambroise , W. Wang , C. Ticknor , R. Carretero-González , P. G. Kevrekidis

We study the quasi-two-dimensional Bose gas in harmonic traps at temperatures above the Kosterlitz-Thouless transition, where the gas is in the normal phase. We show that mean-field theory takes into account the dominant interaction effects…

Quantum Gases · Physics 2013-05-29 Markus Holzmann , Maguelonne Chevallier , Werner Krauth

Coherent coupling between atoms and molecules in a Bose-Einstein condensate (BEC) has been observed. Oscillations between atomic and molecular states were excited by sudden changes in the magnetic field near a Feshbach resonance and…

Statistical Mechanics · Physics 2009-11-07 Elizabeth A. Donley , Neil R. Claussen , Sarah T. Thompson , Carl E. Wieman

We investigate the dynamics of an open Bose-Einstein condensate system consisting of two hyperfine states of the same atomic species which are coupled by tunable Raman laser. It is already suggested that the detuning between the laser…

Quantum Gases · Physics 2015-05-27 Yajiang Hao , Qiang Gu

It is shown, that Bose-Einstein statistical distributions can occur not only in quantum system, but in classical systems as well. The coherent dynamics of the system, or equivalently autocatalytic dynamics in momentum space of the system is…

Statistical Mechanics · Physics 2009-09-25 Kestutis Staliunas

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

Bose-Einstein symmetrization can lead to correlations between out going identical particles which reflect the space-time extent of the collision process. At LEP and LEPII these correlations have been studied as a function of a single…

High Energy Physics - Phenomenology · Physics 2009-10-31 Mark Smith

We study modulational instability of two-component Bose-Einstein condensates in an optical lattice, which is modelled as a coupled discrete nonlinear Schr \"{o}dinger equation. The excitation spectrum and the modulational instability…

Quantum Physics · Physics 2016-09-08 Guang-Ri Jin , Chul Koo Kim , Kyun Nahm

The onset of Bose-Einstein condensation in systems with { various} densities of states is examined, with particular attention to the role of the behavior of their {energy} spectrum at low and high energies. Specifically, the results of…

Statistical Mechanics · Physics 2026-02-20 Alexios P. Polychronakos , Stephane Ouvry

Important properties of complex quantum many-body systems and their phase diagrams can often already be inferred from the impurity limit. The Bose polaron problem describing an impurity atom immersed in a Bose-Einstein condensate is a…

Quantum Gases · Physics 2024-03-06 Arthur Christianen , J. Ignacio Cirac , Richard Schmidt

The density density correlation function is computed for the Bogoliubov pseudoparticles created in a Bose-Einstein condensate undergoing a black hole flow. On the basis of the gravitational analogy, the method used relies only on quantum…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Paul R. Anderson , Roberto Balbinot , Alessandro Fabbri , Renaud Parentani

We study the equilibrium correlations of a Bose gas in an elongated three-dimensional harmonic trap using a grand-canonical classical-field method. We focus in particular on the progressive transformation of the gas from the normal phase,…

Quantum Gases · Physics 2013-07-16 Michael C. Garrett , Tod M. Wright , Matthew J. Davis

The stability and chaotic behaviors of Bose-Einstein condensates with two- and three-atom interactions in optical lattices are discussed with analytical and numerical methods. It is found that the steady-state relative population appears…

Quantum Gases · Physics 2015-05-13 Yan Chen , Ke-Zhi Zhang , Yong Chen

Quantum fluctuations in time-dependent, harmonically-trapped Bose-Einstein condensates are studied within Bogoliubov theory. An eigenmode expansion of the linear field operators permits the diagonalization of the Bogoliubov-de Gennes…

Other Condensed Matter · Physics 2009-03-04 Michael Uhlmann

We have created vortices in two-component Bose-Einstein condensates. The vortex state was created through a coherent process involving the spatial and temporal control of interconversion between the two components. Using an interference…

Condensed Matter · Physics 2009-10-31 M. R. Matthews , B. P. Anderson , P. C. Haljan , D. S. Hall , C. E. Wieman , E. A. Cornell

Two basic correlation functions are calculated for a model of $N$ harmonically interacting identical particles in a parabolic potential well. The density and the pair correlation function of the model are investigated for the boson case.…

Statistical Mechanics · Physics 2009-10-30 F. Brosens , J. T. Devreese , L. F. Lemmens

The stability of colliding Bose-Einstein condensates is investigated. A set of coupled Gross-Pitaevskii equations is thus considered, and analyzed via a perturbative approach. No assumption is made on the signs (or magnitudes) of the…

Other Condensed Matter · Physics 2009-11-11 I. Kourakis , P. K. Shukla , M. Marklund , L. Stenflo