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This paper deals with the study of the behaviour of the wave functions of a two-component Bose-Einstein condensate near the interface, in the case of strong segregation. This yields a system of two coupled ODE's for which we want to have…

Analysis of PDEs · Mathematics 2016-05-17 Amandine Aftalion , Christos Sourdis

We study the ground state of two interacting bosonic particles confined in a ring-shaped lattice potential and subjected to a synthetic magnetic flux. The system is described by the Bose-Hubbard model and solved exactly through a plane-wave…

Quantum Gases · Physics 2020-05-06 Juan Polo , Piero Naldesi , Anna Minguzzi , Luigi Amico

Mode-mixing of coherent excitations of a trapped Bose-Einstein condensate is modelled using the Bogoliubov approximation. Hybridization of the modes of the breather ($l=0$) and surface ($l=4$) states leads to the formation of a Bogoliubov…

Statistical Mechanics · Physics 2009-11-10 Dermot McPeake , J F McCann

We consider composite bosons (cobosons) comprised of two elementary particles, fermions or bosons, in an entangled state. First, we show that the effective number of cobosons implies the level of correlation between the two constituent…

Quantum Physics · Physics 2015-11-05 Su-Yong Lee , Jayne Thompson , Sadegh Raeisi , Pawel Kurzynski , Dagomir Kaszlikowski

In this paper, we studied a dilute quasi two-dimensional dipolar Bose-condensed with two- and three-body contact, and Coulomb interactions using the Hartree-Fock-Bogoliubov-Popov approximation. We analyze numerically the effects of…

Quantum Gases · Physics 2022-03-02 S. Mostafa Moniri , Heshmatollah Yavari , Elnaz Darsheshdar

The interplay between disorder and interactions is a "leit-motiv" of condensed matter physics, since it constitutes the driving mechanism of the metal-insulator transition. Bose-Einstein condensates in optical potentials are proving to be…

Disordered Systems and Neural Networks · Physics 2008-04-21 Leonardo Fallani , Chiara Fort , Massimo Inguscio

The mean-field limit of a bosonic quantum many-body system is described by (mostly) non-linear equations of motion which may exhibit chaos very much in the spirit of classical particle chaos, i.e. by an exponential separation of…

Landau damping in weakly interacting Bose gases is investigated by means of perturbation theory. Our approach points out the crucial role played by Bose-Einstein condensation and yields an explicit expression for the decay rate of…

Condensed Matter · Physics 2009-10-30 L. P. Pitaevskii , S. Stringari

We study a simple model of interacting bosons on a d-dimensional cubic lattice whose dynamics conserves both total boson number and total boson dipole moment. This model provides a simple framework in which several remarkable consequences…

Quantum Gases · Physics 2022-09-14 Ethan Lake , Michael Hermele , T. Senthil

We present a detailed study of the spectrum and dispersion of Bogoliubov quasiparticles in two coupled elongated Bose-Einstein condensates. We develop an analytically solvable model that approximates two infinite homogeneous condensates and…

Quantum Gases · Physics 2020-10-16 M. R. Momme , O. O. Prikhodko , Y. M. Bidasyuk

We investigate a weakly interacting two-component Bose--Einstein condensate in the miscible regime in the presence of \emph{altermagnetism}, i.e., a collinear and globally compensated magnetic order that breaks spin-rotation symmetry while…

Quantum Gases · Physics 2026-02-13 Jia Wang , Zhao Liu , Xia-Ji Liu , Hui Hu

This paper considers the issue of Bose-Einstein condensation in a weakly interacting Bose gas with a fixed total number of particles. We use an old current algebra formulation of non-relativistic many body systems due to Dashen and Sharp to…

Statistical Mechanics · Physics 2007-05-23 Andrei E. Ruckenstein

We investigate the coherent dynamics of a non-interacting Bose-Einstein condensate in a system consisting of two bosonic reservoirs coupled via a spatially localized mode. We describe this system by a two-terminal Fano-Anderson model and…

Quantum Gases · Physics 2016-07-20 G. Engelhardt , G. Schaller , T. Brandes

Driven-dissipative light-matter systems can exhibit collective nonequilibrium phenomena due to loss and gain processes on the one hand and effective photon-photon interactions on the other hand. As generic example we study a bosonic lattice…

Quantum Physics · Physics 2024-09-17 Arkadiusz Kosior , Karol Gietka , Farokh Mivehvar , Helmut Ritsch

In this paper, decoherence in a system consisting of two Bose-Einstein condensates is investigated analytically. It is indicated that decoherence can be controlled through manipulating the interaction between the system and environment. The…

Soft Condensed Matter · Physics 2016-08-31 Le-Man Kuang , Zhao-Yang Tong , Zhong-Wen Ouyang , Hao-Sheng Zeng

We develop an approach based on stochastic quantum trajectories for an incoherently pumped system of interacting bosons relaxing their energy in a thermal reservoir. Our approach enables the study of the versatile coherence properties of…

Quantum Gases · Physics 2015-09-17 H. Flayac , I. G. Savenko , M. Möttönen , T. Ala-Nissila

A system of N bosons in a two-dimensional harmonic trap is considered. The system is treated in term of the slave boson representation for hard-core bosons which is valid in the arbitrary density regimes. I discuss the consequences of…

Other Condensed Matter · Physics 2009-11-11 K. K. Rajagopal

We unravel the nonequilibrium correlated quantum quench dynamics of an impurity traveling through a harmonically confined Bose-Einstein condensate in one-dimension. For weak repulsive interspecies interactions the impurity oscillates within…

Quantum Physics · Physics 2019-10-01 S. I. Mistakidis , F. Grusdt , G. M. Koutentakis , P. Schmelcher

We study the dynamics of a soliton-impurity system modeled in terms of a binary Bose-Einstein condensate. This is achieved by `switching off' one of the two self-interaction scattering lengths, giving a two component system where the second…

Quantum Gases · Physics 2019-05-14 M. J. Edmonds , J. L. Helm , Th. Busch

The thermodynamics of a homogeneous dilute Bose gas with an arbitrary strong repulsion between particles is investigated on the basis of the exact relation connecting the pair correlation function with the in-medium pair wave functions and…

Statistical Mechanics · Physics 2007-05-23 A. Yu. Cherny , A. A. Shanenko