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We consider a system of $N$ particles living on the noncommutative plane in the presence of a confining potential and study its thermodynamics properties. Indeed, after calculating the partition function, we determine the corresponding…

Statistical Mechanics · Physics 2020-01-08 Rachid Houça , Ahmed Jellal

We propose a new class of tight-binding systems of interacting bosons with a flat band, which are exactly solvable in the sense that one can explicitly write down the unique ground state. The ground state is expressed in terms of local…

Quantum Gases · Physics 2021-09-01 Hosho Katsura , Naoki Kawashima , Satoshi Morita , Akinori Tanaka , Hal Tasaki

We formulate a conserving gapless mean-field theory for Bose-Einstein condensates on the basis of a Luttinger-Ward thermodynamic functional. It is applied to a weakly interacting uniform gas with density $n$ and s-wave scattering length $a$…

Superconductivity · Physics 2009-11-10 Takafumi Kita

We apply density functional theory band structure calculations and quantum Monte Carlo simulations to investigate the Bose-Einstein condensation in the spin-1/2 quantum magnet Pb2V3O9. In contrast to previous conjectures on the…

Strongly Correlated Electrons · Physics 2011-02-21 Alexander A. Tsirlin , Helge Rosner

Cold atomic clouds and Bose-Einstein condensates have been stored in a 10cm diameter vertically-oriented magnetic ring. An azimuthal magnetic field enables low-loss propagation of atomic clouds over a total distance of 2m, with a heating…

Other Condensed Matter · Physics 2007-05-23 A. S. Arnold , C. S. Garvie , E. Riis

It is shown that the temperature dependence of the value of energy gap in superconductors can be classified as the order-disorder transition with its characteristic features. The obtained relationship between the critical temperature and…

General Physics · Physics 2011-01-07 B. V. Vasiliev

It is shown, that Bose-Einstein condensation can occur not only in spatially extended equilibrium systems, but also in the systems far from thermal equilibrium, which show order-disorder phase transition. The investigation is performed by…

Soft Condensed Matter · Physics 2007-05-23 Kestutis Staliunas

The spin mixing dynamics of spin-1 Bose-Einstein condensates with zero magnetization and under an external magnetic field is investigated. The time-dependent solutions are obtained via a diagonalization of the Hamiltonian, which has a…

Other Condensed Matter · Physics 2008-02-15 Zhifeng Chen , Chengguang Bao , Zhibing Li

A mean field theory of expanding hybrid atom-molecule Bose-Einstein condensates is applied to the recent MPI experiments on ${}^{87}$Rb that demonstrated the formation of ultracold molecules due to Feshbach resonance. The subsequent…

Soft Condensed Matter · Physics 2007-05-23 V. A. Yurovsky , A. Ben-Reuven

We study a system of a complex charged scalar coupled to a Reissner-Nordstrom black hole in 3+1 dimensional anti-de Sitter spacetime, neglecting back-reaction. With suitable boundary conditions, the cases of a neutral and purely electric…

High Energy Physics - Theory · Physics 2008-11-26 Tameem Albash , Clifford V. Johnson

The theory of resonant generation of nonground-state Bose-Einstein condensates is extended to Bose-condensed systems at finite temperature. The generalization is based on the notion of representative statistical ensembles for Bose systems…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov

General types of Bose-Einstein condensates are considered. The formation of black-hole analogues is examined for both short- and long-range interactions for arbitrary spatial dimensions greater than two. The former case includes non-linear…

General Relativity and Quantum Cosmology · Physics 2014-10-22 Florian Kuhnel

We study the dynamics of two-component Bose-Einstein condensates trapped in different vertical positions in the presence of an oscillating magnetic field. It is shown here how tuning appropriately the oscillation frequency of the magnetic…

Other Condensed Matter · Physics 2007-05-23 Katsuhiro Nakamura , Akihisa Kohi , Hisatsugu Yamasaki , Victor M. Perez-Garcia

We investigate the possible occurrence of a Bose-Einstein condensed phase of matter within neutron stars due to the formation of Cooper pairs among the superfluid neutrons. To this end we study the condensation of bosonic particles under…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Christine Gruber , Axel Pelster

A homogeneous polarized dipolar Bose-Einstein condensate is considered in the presence of weak quenched disorder within mean-field theory at zero temperature. By first solving perturbatively the underlying Gross-Pitaevskii equation and then…

Quantum Gases · Physics 2011-09-01 Christian Krumnow , Axel Pelster

A Bose-Einstein condensate in an oscillating spatially asymmetric potential is shown to exhibit a directed current for unbiased initial conditions despite time symmetry. This phenomenon occurs only if the interaction between atoms, treated…

Atomic Physics · Physics 2009-04-04 Dario Poletti , Giuliano Benenti , Giulio Casati , Peter Hanggi , Baowen Li

We study magnetic field effects on the Equations of State (EoS) and the structure of Bose-Einstein Condensate (BEC) stars, i.e. a compact object composed by a gas of interacting spin one bosons formed up by the pairing of two neutrons. To…

High Energy Astrophysical Phenomena · Physics 2019-09-04 G. Quintero Angulo , A. Pérez Martínez , H. Pérez Rojas , D. Manreza Paret

Bose-condensed gases are considered with an effective interaction strength varying in the whole range of the values between zero and infinity. The consideration is based on the usage of a representative statistical ensemble for Bose systems…

Statistical Mechanics · Physics 2009-11-13 V. I. Yukalov , E. P. Yukalova

Bose-Einstein condensation (BEC) in cold gases can be turned on and off by an external potential, such as that presented by an optical lattice. We present a model of this phenomenon which we are able to analyze rigorously. The system is a…

Statistical Mechanics · Physics 2009-11-10 Michael Aizenman , Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej , Jakob Yngvason

Using recently developed nonrelativistic numerical simulation code, we investigate the stability properties of compact astrophysical objects that may be formed due to the Bose-Einstein condensation of dark matter. Once the temperature of a…

High Energy Physics - Phenomenology · Physics 2015-03-05 Eniko J. M. Madarassy , Viktor T. Toth