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Atom interferometers covering macroscopic domains of space-time are a spectacular manifestation of the wave nature of matter. Due to their unique coherence properties, Bose-Einstein condensates are ideal sources for an atom interferometer…

We analyze a process of splitting of the Bose-Einstein condensate and the mutual coherence of two separated atomic clouds. Within the classical fields approximation we show that coherence between clouds is degraded if atoms interact and if…

Quantum Gases · Physics 2015-06-18 Tomasz Górski , Kazimierz Rzążewski

Emergence of algebraic quasi-long-range order is a key feature of superfluid phase transitions at two dimensions. For this reduced dimensionality interactions prevent Bose-Einstein condensation with true long range order, at any finite…

Quantum Gases · Physics 2020-07-22 S. Dang , M. Zamorano , S. Suffit , K. West , K. Baldwin , L. Pfeiffer , M. Holzmann , F. Dubin

The onset of Bose-Einstein condensation in systems with { various} densities of states is examined, with particular attention to the role of the behavior of their {energy} spectrum at low and high energies. Specifically, the results of…

Statistical Mechanics · Physics 2026-02-20 Alexios P. Polychronakos , Stephane Ouvry

It is shown, that Bose-Einstein statistical distributions can occur not only in quantum system, but in classical systems as well. The coherent dynamics of the system, or equivalently autocatalytic dynamics in momentum space of the system is…

Statistical Mechanics · Physics 2009-09-25 Kestutis Staliunas

This paper summarizes some of the relevant features exhibited by bi-nary mixtures of Bose-Einstein condensates in the presence of coherent coupling at zero temperature. The coupling, which is experimentally produced by proper photon…

Quantum Gases · Physics 2022-05-06 Alessio Recati , Sandro Stringari

We consider a hybrid atom-optomechanical system consisting of a mechanical membrane inside an optical cavity and an atomic Bose-Einstein condensate outside the cavity. The condensate is confined in an optical lattice potential formed by a…

Quantum Gases · Physics 2021-03-03 Jia-Ming Cheng , Zheng-Wei Zhou , Guang-Can Guo , Han Pu , Xiang-Fa Zhou

We review and characterize the quantum coherence measures that are most useful for quantum gases, including Bose-Einstein condensates (BEC) and ultra-cold fermions, and outline how to calculate these in the typically dynamical environment…

Other Condensed Matter · Physics 2007-10-16 P. D. Drummond , T. Vaughan , J. F. Corney , G. Leuchs , P. Deuar

We show that spatial Bose-Einstein condensation of non-interacting bosons occurs in dimension d < 2 over discrete structures with inhomogeneous topology and with no need of external confining potentials. Josephson junction arrays provide a…

Condensed Matter · Physics 2009-10-31 R. Burioni , D. Cassi , I. Meccoli , M. Rasetti , S. Regina. P. Sodano , A. Vezzani

We consider a quantum superposition of Bose-Einstein condensates in two immiscible internal states. A decoherence rate for the resulting Schroedinger cat is calculated and shown to be a significant threat to this macroscopic quantum…

Condensed Matter · Physics 2009-10-31 Diego A. R. Dalvit , Jacek Dziarmaga , Wojciech H. Zurek

The demonstration of Bose-Einstein condensation in atomic gases at micro-Kelvin temperatures is a striking landmark while its evidence for semiconductor excitons still is a long-awaited milestone. This situation was not foreseen because…

Experiments on Bose-Einstein condensation (BEC) of excitons in the semiconductor Cu$_2$O started over thirty years ago, as one of the first serious attempts at exciton BEC. Early claims were based on spectroscopic signatures and transport…

Quantum Gases · Physics 2015-06-12 David Snoke , G. M. Kavoulakis

A Bose-Einstein condensate confined in an optical dipole trap is used to generate long-term coherent memory for light, and storage times of more than one second are observed. Phase coherence of the condensate as well as controlled…

Quantum Physics · Physics 2009-12-07 Rui Zhang , Sean R. Garner , Lene Vestergaard Hau

The quantum and thermal fluctuations of the phase are investigated in a cold Bose gas confined by a double well trap. The coherence of the system is discussed in terms of the visibility of interference fringes in both momentum and…

Condensed Matter · Physics 2009-11-07 L. Pitaevskii , S. Stringari

The emergence of two-dimensional crystals has revolutionized modern solid-state physics. From a fundamental point of view, the enhancement of charge carrier correlations has sparked enormous research activities in the transport- and quantum…

We investigate the presence of off-diagonal long-range order in a harmonically confined two-dimensional Bose gas. In the noninteracting case, an analytical calculation of the the finite-temperature one-particle density martix provides an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Brandon P. van Zyl

It is generally argued that Mermin-Wagner theorem excludes the possibility of long-range order in two dimensional bosonic systems at non-zero temperatures. In contrast, we show here that generic bilayer semiconductors could demonstrate true…

Strongly Correlated Electrons · Physics 2025-12-17 Mikhail M. Glazov , Atac Imamoglu

This paper provides, firstly, a succinct mathematical derivation of Bose-Einstein condensation (BEC) of photons elaborating on previous results [M\"uller, E.E., Annals of Phys. 184, 219-230 (1988); M\"uller, E.E. Physica 139A, 165-174…

Quantum Physics · Physics 2019-11-27 Eberhard E. Müller

In recent years, experiments by several groups have demonstrated spontaneous coherence in polariton systems, which can be viewed as a type of nonequilibrium Bose-Einstein condensation. In these systems, the polariton lifetime is longer…

Quantum Gases · Physics 2012-08-07 David W. Snoke

We study Bose gases in $d$ dimensions, $d \ge 2$, with short-range repulsive pair interactions, at positive temperature, in the canonical ensemble and in the thermodynamic limit. We assume the presence of hard Poissonian obstacles and focus…

Mathematical Physics · Physics 2022-11-01 Joachim Kerner , Maximilian Pechmann