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We study the Bose-Einstein condensation of an interacting gas with attractive interaction confined in a harmonic trap using a semiclassical two-fluid mean-field model. The condensed state is described by converged numerical solution of the…

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

Bose-Einstein correlations are studied in the framework of a class of independent particle production models. This generalizes the studies for a variety of models proposed previously. It is shown that the Bose-Einstein correlations lead for…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. Zalewski

A generalized Bogoliubov model of the Bose gas in the ground state is proposed which properly takes into account both the long-range and short-range spatial boson correlations. It concerns equilibrium characteristics and operates with…

Statistical Mechanics · Physics 2007-05-23 A. Yu. Cherny , A. A. Shanenko

The invariant Buda-Lund parameterization of the two-particle Bose-Einstein correlation functions is presented, its derivation is summarized. In its particular multi-variate Gaussian limiting case, the invariant Buda - Lund parameterization…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Csorgo , B. Lorstad

We propose a novel numerical method of modelling Bose-Einstein correlations (BEC) observed among identical (bosonic) particles produced in multiparticle production reactions. We argue that the most natural approach is to work directly in…

High Energy Physics - Phenomenology · Physics 2009-11-11 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

We construct a many-body Gaussian variational approach for the two-dimensional trapped Bose gas in the condensate phase. Interaction between particles is modelized by a generalized pseudo-potential of zero range that allows recovering…

Other Condensed Matter · Physics 2009-11-10 Ludovic Pricoupenko

Quantum fluctuations in time-dependent, harmonically-trapped Bose-Einstein condensates are studied within Bogoliubov theory. An eigenmode expansion of the linear field operators permits the diagonalization of the Bogoliubov-de Gennes…

Other Condensed Matter · Physics 2009-03-04 Michael Uhlmann

We study the collective modes of a Bose-Einstein condensate subject to an optically induced density-dependent gauge potential. The corresponding interacting gauge theory lacks Galilean invariance, yielding an exotic superfluid state. The…

Quantum Gases · Physics 2015-01-30 Matthew Edmonds , Manuel Valiente , Patrik Öhberg

Quantitative numerical analyses of interacting dilute Bose-Einstein condensates are most often based on semi-classical approximations. Since the complex-valued field-theoretic action of the Bose gas does not offer itself to the direct…

Quantum Gases · Physics 2023-05-25 Philipp Heinen , Thomas Gasenzer

A solvable model of a periodically-driven trapped mixture of Bose-Einstein condensates, consisting of $N_1$ interacting bosons of mass $m_1$ driven by a force of amplitude $f_{L,1}$ and $N_2$ interacting bosons of mass $m_2$ driven by a…

Quantum Gases · Physics 2020-12-01 Ofir E. Alon

Two-boson momentum correlations at fixed particle number constraint are studied in a simple analytically solvable model of a thermal expanding system. We show that the increase of expansion rate, as well as increase of particle…

High Energy Physics - Phenomenology · Physics 2022-05-31 M. D. Adzhymambetov , S. V. Akkelin , Yu. M. Sinyukov

We show that the dynamics of phonons in a set of trapped ions interacting with lasers is described by a Bose-Hubbard model whose parameters can be externally adjusted. We investigate the possibility of observing several quantum many-body…

Quantum Physics · Physics 2009-11-10 D. Porras , J. I. Cirac

In this paper, we study a strongly correlated quantum system that has become amenable to experiment by the advent of ultracold bosonic atoms in optical lattices, a chain of two different bosonic constituents. Excitations in this system are…

Statistical Mechanics · Physics 2009-11-13 Adrian Kleine , Corinna Kollath , Ian P. McCulloch , Thierry Giamarchi , Ulrich Schollwoeck

We study a system of $A$ identical interacting bosons trapped by an external field by solving ab initio the many-body Schroedinger equation. A complete solution by using, for example, the traditional hyperspherical harmonics (HH) basis…

Quantum Physics · Physics 2009-11-10 T. K. Das , B. Chakrabarti

The idea is advanced that strong perturbations of an initially equilibrium Bose-condensed gas lead to the sequence of nonequilibrium states whose order is inverse to the sequence of states arising in the process of the Bose-gas relaxation…

Quantum Gases · Physics 2015-02-24 V. I. Yukalov , E. P. Yukalova

We consider the Landau-Zener problem for a Bose-Einstein condensate in a linearly varying two-level system, for the full many-particle system as well and in the mean-field approximation. The many-particle problem can be solved approximately…

Quantum Physics · Physics 2007-05-23 D. Witthaut , E. M. Graefe , H. J. Korsch

We construct states describing Bose Einstein condensates at finite temperature for a relativistic massive complex scalar field with $|\varphi|^4$-interaction. We start with the linearised theory over a classical condensate and construct…

Mathematical Physics · Physics 2020-11-12 Romeo Brunetti , Klaus Fredenhagen , Nicola Pinamonti

Bose-Einstein correlations are being exploited to obtain information about the structure of the sources of hadrons in multiple particle production processes. In this paper the principles of this approach are described and some of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kacper Zalewski

The momentum- and frequency-dependent one-body correlation function of the one-dimensional interacting Bose gas (Lieb-Liniger model) in the repulsive regime is studied using the Algebraic Bethe Ansatz and numerics. We first provide a…

Statistical Mechanics · Physics 2011-02-16 Jean-Sebastien Caux , Pasquale Calabrese , Nikita A. Slavnov

The entanglement area law is a universal principle that characterizes the information structure in quantum many-body systems and serves as the foundation for modern algorithms based on tensor network representations. Historically, the area…

Quantum Physics · Physics 2024-11-05 Donghoon Kim , Tomotaka Kuwahara