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We study the quantum behaviour of a binary mixture of Bose-Einstein condensates (BEC) in a double-well potential starting from a two-mode Bose-Hubbard Hamiltonian. We focus on the small tunneling amplitude regime and apply perturbation…

Quantum Gases · Physics 2015-05-18 Adele Naddeo , Roberta Citro

An analytical insight into the symmetry breaking mechanisms underlying the transition from Josephson to self-trapping regimes in Bose-Einstein condensates is presented. We obtain expressions for the ground state properties of the system of…

Quantum Gases · Physics 2010-06-21 B. Julia-Diaz , J. Martorell , A. Polls

We discuss the properties of an ideal relativistic gas of events possessing Bose-Einstein statistics. We find that the mass spectrum of such a system is bounded by $\mu \leq m\leq 2M/\mu _K,$ where $\mu $ is the usual chemical potential,…

High Energy Physics - Theory · Physics 2007-05-23 L. Burakovsky , L. P. Horwitz , W. C. Schieve

The coherent and collective nature of Bose-Einstein condensate can enhance or suppress physical processes. Bosonic stimulation enhances scattering in already occupied states which leads to atom amplification, and the suppression of…

Soft Condensed Matter · Physics 2009-10-31 Wolfgang Ketterle , Ananth P. Chikkatur , Chandra Raman

We use the Gross-Pitaevskii equation to determine the spatial structure of the condensate density of interacting bosons whose energy dispersion epsilon_k has two degenerate minima at finite wave-vectors q. We show that in general the…

Quantum Gases · Physics 2011-01-14 Johannes Hick , Francesca Sauli , Andreas Kreisel , Peter Kopietz

We show how the momentum distribution of gaseous Bose--Einstein condensates can be shaped by applying a sequence of standing-wave laser pulses. We present a theory, whose validity for was demonstrated in an earlier experiment [L.\ Deng, et…

Quantum Gases · Physics 2010-12-17 Mark Edwards , Brandon Benton , Jeffrey Heward , Charles W. Clark

With the integral representation of Bose functions, the Bose-Einstein condensation of non-interacting bosons in a three-dimensional harmonic trap was studied. The relation between the particle number and its phase transition temperature was…

Statistical Mechanics · Physics 2015-06-25 Sang-Hoon Kim

A phenomenological theory is developed, that accounts for the collective dynamics of a Bose-Einstein condensate of magnons. In terms of such description we discuss the nature of spontaneous macroscopic interference between magnon clouds,…

Mesoscale and Nanoscale Physics · Physics 2014-07-03 Roberto E. Troncoso , Álvaro S. Núñez

Many-particle entanglement is a fundamental concept of quantum physics that still presents conceptual challenges. While spin-squeezed and other nonclassical states of atomic ensembles were used to enhance measurement precision in quantum…

Quantum Physics · Physics 2018-11-09 Matteo Fadel , Tilman Zibold , Boris Décamps , Philipp Treutlein

In this work we investigate the quantum dynamics of a model for two single-mode Bose--Einstein condensates which are coupled via Josephson tunneling. Using direct numerical diagonalisation of the Hamiltonian, we compute the time evolution…

Quantum Physics · Physics 2009-11-10 A. P. Tonel , J. Links , A. Foerster

A gaseous Bose-Einstein condensate (BEC) offers an ideal testing ground for studying symmetry breaking, because a trapped BEC system is in a mesoscopic regime, and situations exist under which symmetry breaking may or may not occur.…

Other Condensed Matter · Physics 2009-11-11 Masahito Ueda , Yuki Kawaguchi , Hiroki Saito , Rina Kanamoto , Tatsuya Nakajima

The quantum Boltzmann-Bose equation describes a large system of Bose-Einstein particles in the weak-coupling regime. If the particle interaction is governed by the inverse power law, the corresponding collision kernel has angular…

Analysis of PDEs · Mathematics 2022-12-08 Tong Yang , Yu-Long Zhou

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

The theory of non-interacting Bose gases is supplemented by a numerical quantum field description with a two-dimensional non-local order parameter that allows the modeling of wave-like atomic correlations and interference effects in the…

Quantum Gases · Physics 2025-07-08 Alexej Schelle

When an energetic particle collides coherently with many medium particles at high energies, the Bose-Einstein symmetry with respect to the interchange of the exchanged virtual bosons leads to a destructive interference of the Feynman…

High Energy Physics - Phenomenology · Physics 2012-09-26 Cheuk-Yin Wong

In this paper, we present a theoretical and numerical analysis of the free expansion of a Bose-Einstein condensate, where we assume that the single particle energy spectrum is deformed due to a possible quantum structure of spacetime. Also,…

General Relativity and Quantum Cosmology · Physics 2016-12-22 Elías Castellanos , Celia Escamilla-Rivera

We propose a new kind of quantum phase transition in phase separated mixtures of Bose-Einstein condensates. In this transition, the distribution of the two components changes from a symmetric to an asymmetric shape. We discuss the nature of…

Statistical Mechanics · Physics 2009-11-07 Anatoly Svidzinsky , Siu-Tat Chui

We consider two models of interacting Bose gases: a gas of spin one particles in the ground state of a cubic box and a one-dimension Bose gas with contact interactions. We show how to calculate exact eigenstates of the corresponding N-body…

Soft Condensed Matter · Physics 2007-05-23 Yvan Castin , Christopher Herzog

We consider dynamically generated spin squeezing in interacting bimodal condensates. We show that particle losses and non-zero temperature effects in a multimode theory completely change the scaling of the best squeezing for large atom…

Quantum Gases · Physics 2012-09-10 Alice Sinatra , Jean-Christophe Dornstetter , Yvan Castin

We study many-body quantum coherence and interaction blockade in two Josephson-linked Bose-Einstein condensates. We introduce universal operators for characterizing many-body coherence without limitations on the system symmetry and total…

Quantum Physics · Physics 2008-03-18 Chaohong Lee , Libin Fu , Yuri S. Kivshar
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