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We review recent important topics in quantized vortices and quantum turbulence in atomic Bose--Einstein condensates (BECs). They have previously been studied for a long time in superfluid helium. Quantum turbulence is currently one of the…

Quantum Gases · Physics 2016-01-19 M. Tsubota , K. Kasamatsu

We derive an exact recursion formula for the calculation of thermodynamic functions of finite systems obeying Bose-Einstein statistics. The formula is applicable for canonical systems where the particles can be treated as noninteracting in…

Statistical Mechanics · Physics 2009-10-31 Peter Borrmann , Jens Harting , Oliver Muelken , Eberhard R. Hilf

We propose a new type of quantum statistics, which we call inclusion statistics, in which particles tend to coalesce more than ordinary bosons. Inclusion statistics is defined in analogy with exclusion statistics, in which statistical…

Statistical Mechanics · Physics 2023-06-28 Stéphane Ouvry , Alexios P. Polychronakos

Many-mode interacting Bose gases (1D,2D,3D) are simulated from first principles. The model uses a second-quantized Hamiltonian with two-particle interactions (possibly ranged), external potential, and interactions with an environment, with…

Other Condensed Matter · Physics 2009-09-29 Piotr Deuar

In the quantum metrology protocol described by Tacla et al. [Tacla et al., Phys. Rev. A 82, 053636 (2010)] where a two mode Bose-Einstein condensate (BEC) is used for parameter estimation, the measured quantity is to be obtained by doing a…

Quantum Physics · Physics 2015-06-17 Salini Jose , Anil Shaji

A quantum-field approach to studying the Bose systems at finite temperatures and in states with spontaneously broken symmetry, in particular in a superfluid state, is proposed. A generalized model of a self-consistent field (SCF) for…

Statistical Mechanics · Physics 2013-06-11 Yu. M. Poluektov

Considering bosonic atoms immersed in a dilute Fermi gas, we theoretically investigate medium-induced bosonic clusters associated with fermion-mediated two- and three-body interactions. Using the variational approach combined with the…

Quantum Gases · Physics 2024-01-25 Yixin Guo , Hiroyuki Tajima

The recent data for Bose-Einstein Correlations (BEC) of three-charged particles obtained by NA44 Collaboration have been analysed using theoretical formula with Coulomb wave functions. It has been recently proposed by Alt et al. It turns…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Mizoguchi , M. Biyajima

It is shown that there exists an intimate relationship between Bose Einstein correlations and quantum field theory. On the one hand several essential aspects of BEC cannot be understood and even formulated without second quantization. On…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. M. Weiner

In this review the problem of statistical description of isolated quantum systems of interacting particles is discussed. Main attention is paid to a recently developed approach which is based on chaotic properties of compound states in the…

Statistical Mechanics · Physics 2007-05-23 F. M. Izrailev

In this work we define, analyze, and compare different numerical schemes that can be used to study the ground state properties of Bose-Fermi systems, such as mixtures of different atomic species under external forces or self-bound quantum…

Computational Engineering, Finance, and Science · Computer Science 2025-10-22 Tomasz Świsłocki , Krzysztof Gawryluk , Mirosław Brewczyk , Tomasz Karpiuk

We present a comprehensive theoretical investigation of Bose-Einstein condensates (BECs) and their manifestations in astrophysical and cosmological contexts. Building upon the foundations of quantum statistics in curved spacetime, we derive…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-25 Nader Haddad

Coherent coupling between atoms and molecules in a Bose-Einstein condensate (BEC) has been observed. Oscillations between atomic and molecular states were excited by sudden changes in the magnetic field near a Feshbach resonance and…

Statistical Mechanics · Physics 2009-11-07 Elizabeth A. Donley , Neil R. Claussen , Sarah T. Thompson , Carl E. Wieman

We study the role of quantum statistics in the performance of Otto cycles. First, we show analytically that the work distributions for bosonic and fermionic working fluids are identical for cycles driven by harmonic trapping potentials.…

Statistical Mechanics · Physics 2015-08-11 Yuanjian Zheng , Dario Poletti

We are presenting here the new formulae for Bose-Einstein correlations (BEC) which contain effects of final state interactions (FSI) of both strong (in $s$-wave) and electromagnetic origin. We demonstrate the importance of FSI in BEC by…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Biyajima , T. Mizoguchi , T. Osada , G. Wilk

A technique to simulate the grand canonical ensembles of interacting Bose gases is presented. Results are generated for many temperatures by averaging over energy-weighted stochastic paths, each corresponding to a solution of coupled…

Soft Condensed Matter · Physics 2009-11-10 P. D. Drummond , P. Deuar , K. V. Kheruntsyan

The use of Feshbach resonances for tuning the interparticle interaction in ultracold Fermi gases has led to remarkable developments, in particular to the creation and Bose-Einstein condensation of weakly bound diatomic molecules of…

Other Condensed Matter · Physics 2008-10-13 D. S. Petrov , C. Salomon , G. V. Shlyapnikov

We present a theory of measurement-induced interference for weakly interacting Bose-Einstein condensed (BEC) gases. The many-body state resulting from the evolution of an initial fragmented (Fock) state can be approximated as a continuous…

Statistical Mechanics · Physics 2009-11-13 G. S. Paraoanu

Variational method is applied to describe Bose-Einstein condensates (BEC) interacting via a pseudo-potential, taking into account quantum fluctuations around the mean field by the Gaussian approximation. Contributions from the pair-wise…

Condensed Matter · Physics 2007-05-23 Y. Tsue , D. Vautherin , T. Matsui

Cold atomic ensembles and spinor Bose-Einstein condensates (BECs) are potential candidates for quantum memories as they have long coherence times and can be coherently controlled. Unlike most candidates for quantum memories which are…

Quantum Physics · Physics 2016-09-28 Shi Wang , Tim Byrnes