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We study the mean-field dynamics and the reduced-dimension character of two-mode Bose-Einstein condensates (BECs) in highly anisotropic traps. By means of perturbative techniques, we show that the tightly confined (transverse) degrees of…

Quantum Gases · Physics 2013-02-07 Alexandre B. Tacla , Carlton M. Caves

We investigate the notion of Bose-Einstein condensation of interacting particles. The definition of the condensate is based on the existence of the dominant eigenvalue of the single-particle density matrix. The statistical properties and…

Condensed Matter · Physics 2007-05-23 M. A. Cirone , K. Goral , K. Rzazewski , M. Wilkens

We study a Bose-Einstein condensate (BEC) at low energy limit and show that their collective dynamics exhibit interesting topological behavior. The system undergoes dynamical topological phase transition at its global periods if its…

Quantum Physics · Physics 2019-12-04 Mehdi Abdi

We examine the possibility of Bose-Einstein condensation (BEC) in two-dimensional (2D) system of interacting particles in a trap. We use a self-consistent mean-field theory of Bose particles interacting by a contact interaction in the Popov…

Condensed Matter · Physics 2007-05-23 William J. Mullin

Explicit expressions for all the transport coefficients have recently been found for a trapped Bose condensed gas at finite temperatures. These transport coefficients are used to define the characteristic relaxation times, which determine…

Statistical Mechanics · Physics 2009-11-07 T. Nikuni , A. Griffin

At low-temperatures a gas of bosons will undergo a phase transition into a quantum state of matter known as a Bose-Einstein condensate (BEC), in which a large fraction of the particles will occupy the ground state simultaneously. Here we…

We consider the properties of a gas of bosonic diatomic molecules in the limit when few of the molecules are dissociated. Taking into account the effects of dissociation and scattering among molecules and atoms, we calculate the dispersion…

Other Condensed Matter · Physics 2015-06-25 L. M. Jensen , H. Mäkelä , C. J. Pethick

Phase transitions can modify quantum behaviour on mesoscopic scales and give access to new and unusual quantum dynamics. Here we investigate the superfluid properties of a rotating two-component Bose--Einstein condensate as a function of…

Quantum Gases · Physics 2016-03-09 Angela White , Tara Hennessy , Thomas Busch

We present a theoretical model for Bragg scattering from a Bose-Einstein condensate (BEC) in the vicinity of a magnetic Feshbach resonance, using a two c-field formalism, one c-field for the atom and the other for a molecule formed of two…

Atomic and Molecular Clusters · Physics 2011-09-15 Catarina E. Sahlberg , R. J. Ballagh , C. W. Gardiner

We investigate thermally excited, dipolar Bose-Einstein condensates. Quasi-particle excitations of the atomic cloud cause density fluctuations which can induce the collapse of the condensate if the inter-particle interaction is attractive.…

Quantum Gases · Physics 2013-10-15 Andrej Junginger , Manuel Kreibich , Jörg Main , Günter Wunner

We discuss several possible experimental signatures of the Bose-Einstein condensation (BEC) transition for an ultracold Bose gas in an inhomogeneous optical lattice. Based on the commonly used time-of-flight imaging technique, we show that…

Superconductivity · Physics 2008-05-21 G. -D. Lin , Wei Zhang , L. -M. Duan

Recently, effects of Feshbach resonances in atom-atom interactions were observed by varying the external magnetic field of an atomic Bose-Einstein condensate (BEC). We point out that the quasi-bound molecules created in the intermediate…

Condensed Matter · Physics 2019-08-17 Eddy Timmermans , Paolo Tommasini , Robin Cote , Mahir Hussein , Arthur Kerman

The ground state of bosonic atoms in a trap has been shown experimentally to display Bose-Einstein condensation (BEC). We prove this fact theoretically for bosons with two-body repulsive interaction potentials in the dilute limit, starting…

Mathematical Physics · Physics 2009-11-07 Elliott H. Lieb , Robert Seiringer

In this work, we explore systematically various SO(2)-rotation-induced multiple dark-dark soliton breathing patterns obtained from stationary and spectrally stable multiple dark-bright and dark-dark waveforms in trapped one-dimensional,…

Using criteria based on superselection rules, we analyze the quantum correlations between the two condensate modes of the Bose-Einstein condensate interferometer of Egorov et al. [Phys. Rev. A 84, 021605 (2011)]. In order to determine the…

Quantum Physics · Physics 2024-12-13 B. Opanchuk , L. Rosales-Zárate , R. Y. Teh , B. J. Dalton , A. Sidorov , P. D. Drummond , M. D. Reid

We study the decay of a two-component Bose-Einstein condensate with negative effective interaction energy. With a decreasing atom number due to losses, the atom-atom interaction becomes less important and the system undergoes a transition…

Soft Condensed Matter · Physics 2009-11-07 Sigmund Kohler , Fernando Sols

We discuss the mean-field approximation for a trapped weakly-interacting Bose-Einstein condensate (BEC) and its connection with the exact many-body problem by deriving the Gross-Pitaevskii action of the condensate. The mechanics of the BEC…

Statistical Mechanics · Physics 2009-10-31 Luca Salasnich

We discuss the transport of a tracer particle through the Bose Einstein condensate of a Bose gas. The particle interacts with the atoms in the Bose gas through two-body interactions. In the limiting regime where the particle is very heavy…

Mathematical Physics · Physics 2015-06-05 Juerg Froehlich , Zhou Gang

We consider two dilute gas Bose-Einstein condensates with opposite velocities from which a monochromatic light field detuned far from the resonance of the optical transition is coherently scattered. In the thermodynamic limit, when the…

Condensed Matter · Physics 2009-10-30 Janne Ruostekoski , M. J. Collett , Robert Graham , Dan F. Walls

We present a complete analysis of the dynamics of a Bose-Einstein condensate trapped in a symmetric triple-well potential. Our classical analogue treatment, based on a time-dependent variational method using SU(3) coherent states, includes…

Quantum Physics · Physics 2011-04-01 T. F. Viscondi , K. Furuya