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We discuss the Bose-Einstein condensation (BEC) for an ideal gas of bosons in the framework of Tsallis's nonextensive statistical mechanics. We study the corrections to the standard BEC formulas due to a weak nonextensivity of the system.…

Statistical Mechanics · Physics 2009-10-31 Luca Salasnich

We consider the theory of feedback control of a Bose-Einstein condensate (BEC) confined in a harmonic trap under a continuous measurement constructed via non-destructive imaging. A filtering theory approach is used to derive a stochastic…

Quantum Physics · Physics 2009-08-07 S. S. Szigeti , M. R. Hush , A. R. R. Carvalho , J. J. Hope

Experiments on the nonequilibrium dynamics of an isolated Bose-Einstein condensate (BEC) in a magnetic double-well trap exhibit a puzzling divergence: While some show dissipation-free Josephson oscillations, others find strong damping. Such…

Quantum Gases · Physics 2018-11-06 Tim Lappe , Anna Posazhennikova , Johann Kroha

We investigate the collective excitations of a one-dimensional Bose-Einstein condensate (BEC) with repulsive interaction between atoms in a quadratic plus quartic trap. By using the variational approach, the coupled equations of motion for…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Guan-Qiang Li , Li-Bin Fu , Ju-Kui Xue , Xu-Zong Chen , Jie Liu

Excitonic Bose-Einstein condensation (EBEC) has drawn increasing attention recently with the emergence of 2D materials. A general criterion for EBEC, as expected in an excitonic insulator (EI) state, is to have negative exciton formation…

Strongly Correlated Electrons · Physics 2023-05-05 Gurjyot Sethi , Martin Cuma , Feng Liu

We use a non-perturbative renormalization group approach to develop a unified picture of the Bose polaron problem, where a mobile impurity is strongly interacting with a surrounding Bose-Einstein condensate (BEC). A detailed theoretical…

Quantum Gases · Physics 2017-07-12 Fabian Grusdt , Richard Schmidt , Yulia E. Shchadilova , Eugene A. Demler

We study Bose-Einstein condensation (BEC) in the Luttinger-Sy model. Here, Bose point particles in one spatial dimension do not interact with each other, but, through a positive (repulsive) point potential with impurities which are randomly…

Mathematical Physics · Physics 2019-02-07 Joachim Kerner , Maximilian Pechmann , Wolfgang Spitzer

We examine the collective scattering of a superfluid droplet impinging on a mesoscopic Bose-Einstein condensate (BEC) as a target. The BEC consists of an atomic gas with two internal electronic states, each of which is trapped by a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Grupp , G. Nandi , R. Walser , W. P. Schleich

A Multi-scale Boltzmann Equation (MBE) is found from the gas-kinetic theory and the direct modeling philosophy as a master equation for complex physical systems of neutral gases across all flow regimes, which locates between the continuum…

Computational Physics · Physics 2025-06-19 Sha Liu , Junzhe Cao , Sirui Yang , Chengwen Zhong

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

We consider a BEC of rigid rotor molecules confined to quasi-2d through harmonic trapping. The molecules are subjected to an external electric field which polarizes the gas, and the molecules interact via dipole-dipole interactions. We…

Quantum Gases · Physics 2023-06-07 Joseph C. Smith , Seth T. Rittenhouse , Ryan M. Wilson , Brandon M. Peden

Recent studies suggest that dark matter could take the form of a Bose-Einstein condensate (BEC), a possibility motivated by anomalies in galactic rotation curves and the missing mass problem in galaxy clusters. We investigate the…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Francisco S. N. Lobo , Tiberiu Harko

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

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

We develop the multiscale technique to describe excitations of a Bose-Einstein condensate (BEC) whose characteristic scales are comparable with the healing length, thus going beyond the conventional hydrodynamical approximation. As an…

Statistical Mechanics · Physics 2016-08-31 Vladimir V. Konotop , Victor M. Perez-Garcia

Using the rigorous path integral formalism of Feynman and Kac we prove London's eighty years old conjecture that during the superfluid transition in liquid helium Bose-Einstein condensation (BEC) takes place. The result is obtained by…

Mathematical Physics · Physics 2017-12-06 Andras Suto

In this paper we propose to apply the analogy between gravity and condensed matter physics to relativistic Bose-Einstein condensates (RBECs), i.e. condensates composed by relativistic constituents. While such systems are not yet a subject…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Serena Fagnocchi , Stefano Finazzi , Stefano Liberati , Marton Kormos , Andrea Trombettoni

We study tunneling processes of Bose-Einstein condensate (BEC) on the real time stochastic approach and reveal some properties of their tunneling time. An important result is that the tunneling time decreases as the repulsive interatomic…

Quantum Gases · Physics 2015-03-19 K. Kobayashi , M. Inoue , Y. Nakamura , K. Honda , Y. Yamanaka

We present an analytical solution for the vortex lattice in a rapidly rotating trapped Bose-Einstein condensate (BEC) in the lowest Landau level and discuss deviations from the Thomas-Fermi density profile. This solution is exact in the…

Quantum Gases · Physics 2015-05-13 S. I. Matveenko , D. Kovrizhin , S. Ouvry , G. V. Shlyapnikov

Bose-Einstein condensates (BECs) in periodic potentials generate interesting physics on the instabilities of Bloch states. The lowest-energy Bloch states of BECs in pure nonlinear lattices are dynamically and Landau unstable, which breaks…

Quantum Gases · Physics 2023-05-01 Jun Hong , Chenhui Wang , Yongping Zhang
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