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We show that the adiabatic dynamics of a Bose-Einstein condensate (BEC) in a double well potential can be described in terms of a dark variable resulting from the combination of the population imbalance and the spatial atomic coherence…

Quantum Gases · Physics 2010-04-21 C. Ottaviani , V. Ahufinger , R. Corbalán , J. Mompart

In this paper we study metastable states in single- and two-component dipolar Bose-Einstein condensates. We show that this system supports a rich spectrum of symmetries that are remarkably stable despite not being ground states. In a…

Quantum Gases · Physics 2024-04-09 Yong-Chang Zhang , Thomas Pohl , Fabian Maucher

We theoretically investigate quadrupolar collective excitations in two-component Bose-Einstein condensates and their nonlinear dynamics associated with harmonic generation and mode coupling. Under the Thomas-Fermi approximation and the…

Condensed Matter · Physics 2009-11-10 Kenichi Kasamatsu , Makoto Tsubota , Masahito Ueda

The author supposes a capability of transition doubly excited configurations of separate atoms to a superconducting state. The conditions of this transition are determined and the experiments for its detection are offered. The capability of…

Atomic Physics · Physics 2009-01-23 V. V. Kavera

A binary mixture of interacting Bose-Einstein condensates (BEC) in the presence of fragmentation-driving external lattice potentials forms two interdependent mean-field lattices made of each component. These effective mean-field lattices,…

Quantum Gases · Physics 2016-10-21 Hyunoo Shim , Thomas Bergeman

Based on a unified theoretical treatment of the 1D Bogoliubov-de Genes equations, the superfluidity phenomenon of the Bose-Einstein condensates (BEC) loaded into trapped optical lattice is studied. Within the perturbation regime, an…

We prove two equilibrium properties of a system of interacting atoms in three or higher dimensional continuous space. (i) If the particles interact via pair potentials of a nonnegative Fourier transform, their self-organization into…

Mathematical Physics · Physics 2023-05-31 Andras Suto

Nonlinear periodic systems, such as photonic crystals and Bose-Einstein condensates (BECs) loaded into optical lattices, are often described by the nonlinear Schr\"odinger/Gross-Pitaevskii equation with a sinusoidal potential. Here, we…

Pattern Formation and Solitons · Physics 2015-05-27 Nir Dror , Boris A. Malomed

The miscibility of two interacting quantum systems is an important testing ground for the understanding of complex quantum systems. Two-component Bose-Einstein condensates enable the investigation of this scenario in a particularly well…

The variance and uncertainty product of the position and momentum many-particle operators of structureless bosons interacting by a long-range inter-particle interaction and trapped in a single-well potential are investigated. In the first…

Quantum Gases · Physics 2017-04-25 Shachar Klaiman , Alexej I. Streltsov , Ofir E. Alon

A binary mixtures of Bose-Einstein condensate structures exhibit an incredible richness in terms of holding different kinds of phases. Depending on the ratio of the inter- and intra-atomic interactions, the transition from mixed to…

Quantum Gases · Physics 2020-04-22 Mehmet Günay

All Bloch states of the mean field of a Bose-Einstein condensate in the presence of a one dimensional lattice of impurities are presented in closed analytic form. The band structure is investigated by analyzing the stationary states of the…

Other Condensed Matter · Physics 2009-11-10 B. T. Seaman , L. D. Carr , M. J. Holland

We consider dynamics of a two-component Bose-Einstein condensate where the components correspond to different hyperfine states of the same sort of atoms. External microwave radiation leads to resonant transitions between the states. The…

Quantum Gases · Physics 2014-04-01 Michael Uleysky , Denis Makarov

We present a numerical study of a trapped binary Bose-condensed gas by solving the corresponding Hartree-Fock equations. The density profile of the binary Bose gas is solved with a harmonic trapping potential as a function of temperature in…

Soft Condensed Matter · Physics 2015-06-25 P. Ohberg , S. Stenholm

We introduce a variation of the Bose-Einstein condensate(BEC)-Skyrme model, with an altered potential for miscible BECs that gives rise to two physical vortex strings. In the ground state of each topological sector, the vortices are linked…

High Energy Physics - Theory · Physics 2020-09-09 Sven Bjarke Gudnason , Muneto Nitta

Recent experiments have shown that it is possible to create an in-plane harmonic potential trap for a two-dimensional (2D) gas of exciton-polaritons in a microcavity structure, and evidence has been reported of Bose-Einstein condensation of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Oleg L. Berman , Yurii E. Lozovik , David W. Snoke

We investigate the structure of trapped Bose-Einstein condensates (BECs) with long-range anisotropic dipolar interactions. We find that a small perturbation in the trapping potential can lead to dramatic changes in the condensate's density…

Other Condensed Matter · Physics 2010-02-08 Ryan M. Wilson , Shai Ronen , Han Pu , John L. Bohn

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

We compare and contrast the mean-field and many-body properties of a Bose-Einstein condensate trapped in a double well potential with a single impurity atom. The mean-field solutions display a rich structure of bifurcations as parameters…

Quantum Gases · Physics 2011-12-05 F. Mulansky , J. Mumford , D. H. J. O'Dell

We reinvestigate the Bose-Einstein condensation (BEC) thermodynamics of a weakly interacting dilute Bose gas under the action of a trap using a semiclassical two-fluid mean-field model in order to find the domain of applicability of the…

Soft Condensed Matter · Physics 2009-10-31 Sadhan K. Adhikari , A. Gammal