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A perturbative way to investigate superfluid properties of various systems under nonuniform potential is presented. We derive the perturbation expansion of the superfluid fraction, which indicates how liquid exhibits nonclassical rotational…

Quantum Gases · Physics 2016-12-21 Shinji Koshida , Yusuke Kato

Low temperature properties of harmonically confined two-dimensional assemblies of dipolar bosons are systematically investigated by Monte Carlo simulations. Calculations carried out for different numbers of particles and strengths of the…

Statistical Mechanics · Physics 2013-05-29 Piyush Jain , Fabio Cinti , Massimo Boninsegni

Standard arguments state that Bose Einstein condensation (BEC) cannot occur in dimensions lower than three in the thermodynamic limit as the expressions for the number of bosons in the excited states are unbounded. These arguments imply…

Atomic Physics · Physics 2019-07-18 Shirish M Chitanvis

A simple model wavefunction, consisting of a linear combination of two free-particle Gaussians, describes many of the observed features seen in the interactions of two isolated Bose-Einstein condensates as they expand, overlap, and…

Quantum Physics · Physics 2015-06-26 R. W. Robinett

We study superfluidity of a cigar-shaped Bose-Einstein condensate (BEC) by stirring it with a Gaussian potential oscillating back and forth along the axial dimension of the condensate, motivated by experiments of C. Raman et al. Phys. Rev.…

Quantum Gases · Physics 2022-05-04 Hannes Kiehn , Vijay Pal Singh , Ludwig Mathey

Collisions and chemical reactions of molecules in Bose-Einstein condensates (BECs) are extremely sensitive to weak fields. This sensitivity arises due to the high density of compound resonances and a macroscopic number of molecules with…

Condensed Matter · Physics 2007-05-23 V. V. Flambaum , J. S. M. Ginges

We present a rigorous study of the Bose-Einstein condensation in the Luttinger-Sy model. We prove the existence of the condensation in this one-dimensional model of the perfect boson gas placed in the Poisson random potential of singular…

Mathematical Physics · Physics 2007-05-23 Olivier Lenoble , Valentin Zagrebnov

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

We investigate the elastic scattering of Bose-Einstein condensates at shallow periodic and disorder potentials. We show that the collective scattering of the macroscopic quantum object couples to internal degrees of freedom of the…

The aim of this work is to investigate how energy depends on the two-body interaction potential in Bose-Einstein condensation (BEC) phenomena. An equation of state is obtained which is valid both for low and high energy BEC, through the…

Other Condensed Matter · Physics 2009-03-28 Vito Barbarani

We consider the motion of a quasi one dimensional beam of Bose-Einstein condensed particles in a disordered region of finite extent. Interaction effects lead to the appearance of two distinct regions of stationary flow. One is subsonic and…

Other Condensed Matter · Physics 2009-11-13 T. Paul , P. Schlagheck , P. Leboeuf , N. Pavloff

We review the BCS to Bose Einstein condensation (BEC) crossover scenario which is based on the well known crossover generalization of the BCS ground state wavefunction $\Psi_0$. While this ground state has been summarized extensively in the…

Superconductivity · Physics 2011-09-13 Qijin Chen , Jelena Stajic , Shina Tan , Kathryn Levin

One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state composed of localized atoms as the strength of a periodic, optical…

Statistical Mechanics · Physics 2008-09-23 M. Aizenman , E. H. Lieb , R. Seiringer , J. P. Solovej , J. Yngvason

We study the temperature dependence of single-particle and pair coherent condensate densities for a Bose liquid with a "depleted" single-particle Bose-Einstein condensate (BEC) at $T \neq 0$. Our investigations were based on the…

Other Condensed Matter · Physics 2007-05-23 E. Pashitskii , S. Vilchynskyy

A key feature of ultra-light dark matter composed by bosons is the formation of superfluid Bose-Einstein condensate (BEC) structures on galactic scales. We study collisions of BEC solitonic and vortex structures in the framework of the…

Pattern Formation and Solitons · Physics 2023-07-19 Y. O. Nikolaieva , Y. M. Bidasyuk , K. Korshynska , E. V. Gorbar , Junji Jia , A. I. Yakimenko

We consider a guided Bose-Einstein matter wave flowing through a disordered potential. We determine the critical velocity at which superfluidity is broken and compute its statistical properties. They are shown to be connected to extreme…

Quantum Gases · Physics 2015-05-18 M. Albert , T. Paul , N. Pavloff , P. Leboeuf

We revisit a classic study [D. S. Hall {\it et al.}, Phys. Rev. Lett. {\bf 81}, 1539 (1998)] of interpenetrating Bose-Einstein condensates in the hyperfine states $\ket{F = 1, m_f = -1}\equiv\ket{1}$ and $\ket{F = 2, m_f = +1}\equiv\ket{2}$…

Other Condensed Matter · Physics 2010-12-10 K. M. Mertes , J. Merrill , R. Carretero-Gonzalez , D. J. Frantzeskakis , P. G. Kevrekidis , D. S. Hall

We look at two well known examples of interacting systems relating to condensed matter in which we put the strong interacting parameters. At high quark chemical potentials and low temperatures we study the entropy arising from the…

High Energy Physics - Phenomenology · Physics 2011-06-09 David E. Miller , Abdel-Nasser M. Tawfik

We consider a macroscopic two-sate system based on persistent current states of a Bose-Einstein condensate (BEC) of interacting neutral atoms confined in a ring with a weak Josephson link. We demonstrate that macroscopic superpositions of…

Quantum Gases · Physics 2012-03-20 Dmitry Solenov , Dmitry Mozyrsky

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