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We study a many-body system of interacting fermionic atoms of two species that are in thermodynamic equilibrium with their condensed heteronuclear bound states (molecules). In order to describe such an equilibrium state, we use a…

Quantum Gases · Physics 2017-06-30 A. S. Peletminskii , S. V. Peletminskii , Yu. V. Slyusarenko

We consider the mean-field dynamics of Bose-Einstein condensates in rotating harmonic traps and establish several stability and instability properties for the corresponding solution. We particularly emphasize the difference between the…

Analysis of PDEs · Mathematics 2024-01-29 Jack Arbunich , Irina Nenciu , Christof Sparber

We analyze the decay of ultracold atoms from an optical lattice with loss form a single lattice site. If the initial state is dynamically stable a suitable amount of dissipation can stabilize a Bose-Einstein condensate, such that it remains…

Quantum Gases · Physics 2013-07-08 Georgios Kordas , Sandro Wimberger , Dirk Witthaut

We present a convenient technique describing the condensate in dynamical equilibrium with the thermal cloud, at temperatures close to the critical one. We show that the whole isolated system may be viewed as a single classical field…

Condensed Matter · Physics 2007-05-23 K. Goral , M. Gajda , K. Rzazewski

The structure and stability of vortices in hybrid atomic-molecular Bose-Einstein condensates is analyzed in the framework of a two-component Gross-Pitaevskii-type model that describes the stimulated Raman-induced photoassociation process.…

Condensed Matter · Physics 2009-11-07 Tristram J. Alexander , Yuri S. Kivshar , Elena A. Ostrovskaya , Paul S. Julienne

A Bose-Einstein condensate of ultracold atoms inside the field of a laser-driven optical cavity exhibits dispersive optical bistability. We describe this system by using mean-field approximation and by analyzing the correlation functions of…

Quantum Physics · Physics 2010-05-03 G. Szirmai , D. Nagy , P. Domokos

The quantum instability of the mean-field theory for identical bosons is shown to be described by an appropriate Bogoliubov transformation. A connection between the quantum and classical linear stability theories is indicated. It is argued…

Other Condensed Matter · Physics 2009-11-11 Valery S. Shchesnovich

We use the quantum kinetic theory to calculate the steady state and the fluctuations of a trapped Bose-Einstein condensate at finite temperature. The system is divided in a condensate and a non-condensate part. A quantum mechanical…

Statistical Mechanics · Physics 2009-10-30 D. Jaksch , C. W. Gardiner , K. M. Gheri , P. Zoller

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

Ferrofluids show unusual hydrodynamic effects due to the magnetic nature of their constituents. For increasing magnetization a classical ferrofluid undergoes a Rosensweig instability and creates self-organized ordered surface structures or…

Bose-Einstein condensates have been prepared in long-lived metastable excited states. Two complementary types of metastable states were observed. The first is due to the immiscibility of multiple components in the condensate, and the second…

Condensed Matter · Physics 2009-10-31 H. -J. Miesner , D. M. Stamper-Kurn , J. Stenger , S. Inouye , A. Chikkatur , W. Ketterle

We consider quantum droplets in dipolar Bose-Einstein condensates (BECs) embedded in optical lattices within the framework of Gross-Pitaevskii equations. In dipolar BECs, the long-range and anistropic dipole-dipole interaction provides an…

Quantum Gases · Physics 2026-04-03 Sk Siddik , Golam Ali Sekh

We solve the Gross-Pitaevskii (GP) and Bogoliubov equations to investigate the metastability of superfluidity in a Bose-Einstein condensate in the presence of a uniformly moving defect potential in a two-dimensional torus. We calculate the…

Quantum Gases · Physics 2015-05-13 Masaya Kunimi , Yusuke Kato

We study pattern-forming nonlinear dynamics starting from a continuous wave state of quasi-one-dimensional two-component Bose-Einstein condensates with synthetic spin-orbit coupling induced by Raman lasers. Modulation instability can occur…

Quantum Gases · Physics 2019-02-20 Thudiyangal Mithun , Kenichi Kasamatsu

We theoretically study dynamical formation of a quantum droplet in a two-component Bose-Hubbard system with an external trap potential. Specifically, the superfluid in the central region surrounded by the Mott insulator with double filling…

Quantum Gases · Physics 2022-03-14 Yoshihiro Machida , Ippei Danshita , Daisuke Yamamoto , Kenichi Kasamatsu

We find numerically that in the limit of weak atom-atom interactions a Bose-Einstein condensate in an optical lattice may develop a pulsating dynamical instability in which the atoms nearly periodically form a peak in the occupation numbers…

Other Condensed Matter · Physics 2009-11-13 Uttam Shrestha , Marijan Kostrun , Juha Javanainen

To show a mechanism leading to the breakdown of a particle picture for the multi-component Bose-Einstein condensates(BECs) with a harmonic trap in high dimensions, we investigate the corresponding 2-$d$ nonlinear Schr{\"o}dinger equation…

Other Condensed Matter · Physics 2009-11-11 Hisatsugu Yamasaki , Yuhei Natsume , Katsuhiro Nakamura

The partially attractive character of the dipole-dipole interaction leads to phonon instability in dipolar condensates, which is followed by collapse in three-dimensional geometries. We show that the nature of this instability is…

Other Condensed Matter · Physics 2013-05-29 R. Nath , P. Pedri , L. Santos

The equilibrium and stability properties of a coupled two-component BEC is studied using a variational method and the one-dimensional model of Williams and collaborators. The variational parameters are the population fraction, translation…

Condensed Matter · Physics 2009-11-07 Chi-Yong Lin , E. J. V. de Passos , M. S. Hussein , Da-Shin Lee , A. F. R. de Toledo Piza

We study Faraday and resonant waves in two-component quasi-one-dimensional (cigar-shaped) collisionally inhomogeneous Bose-Einstein condensates subject to periodic modulation of the radial confinement. We show by means of extensive…

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