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We examine the possibility of Bose-Einstein condensation in one-dimensional interacting Bose gas subjected to confining potentials of the form $V_{\rm ext}(x)=V_0(|x|/a)^\gamma$, in which $\gamma < 2$, by solving the Gross-Pitaevskii…

Statistical Mechanics · Physics 2009-10-31 M. Bayindir , B. Tanatar , Z. Gedik

An exact theory for the density of a one-dimensional Bose-Einstein condensate with hard core particle interactions is developed in second quantization and applied to the scattering of the condensate by a spatially periodic impulse…

Atomic Physics · Physics 2016-09-08 A. G. Rojo , J. L. Cohen , P. R. Berman

In this paper we study the properties of Bose-Einstein condensates in shallow traps. We discuss the case of a Gaussian potential, but many of our results apply also to the traps having a small quadratic anharmonicity. We show the errors…

Statistical Mechanics · Physics 2009-10-31 J. -P. Martikainen

We present a detailed numerical study of the dynamics of a disordered one-dimensional Bose-Einstein condensates in position and momentum space. We particularly focus on the region where non-linearity and disorder simultaneously effect the…

Mesoscale and Nanoscale Physics · Physics 2011-01-18 Chaitanya Joshi , Sankalpa Ghosh

We outline an interferometric scheme for the detection of bi-mode and multi-mode spatial entanglement of finite-temperature,interacting Bose gases of fixed particle number. Whether entanglement is present in the gas depends on the existence…

Quantum Physics · Physics 2013-06-18 J. Goold , Libby Heaney , Th. Busch , V. Vedral

Results are presented of a two-pion interferometry (HBT) analysis in Pb+Au collisions at 40, 80, and 158 AGeV. A detailed study of the Bertsch-Pratt HBT radius parameters has been performed as function of the mean pair transverse momentum…

Nuclear Experiment · Physics 2010-04-05 D. Adamova

We have observed Bose-Einstein condensation of an atomic gas in the (quasi-)uniform three-dimensional potential of an optical box trap. Condensation is seen in the bimodal momentum distribution and the anisotropic time-of-flight expansion…

In this paper we develop a gapless theory of BEC which can be applied to both trapped and homogeneous gases at zero and finite temperature. The many-body Hamiltonian for the system is written in a form which is approximately quadratic with…

Statistical Mechanics · Physics 2009-10-31 S. A. Morgan

We investigate turbulence in miscible two-component Bose-Einstein condensates confined in a box potential using the coupled Gross-Pitaevskii equations. Turbulence is driven by an oscillating force, causing the components to oscillate either…

Quantum Gases · Physics 2025-03-03 Issei Doki , Makoto Tsubota

In this work, we discuss the Landau's criterion for anisotropic superfluidity. To this end, we consider a point-like impurity moving in a uniform Bose-Einstein condensate with either interparticle dipole-dipole interaction or Raman induced…

Quantum Gases · Physics 2017-03-22 Zeng-Qiang Yu

Brooding over bosons, wave packets and Bose - Einstein correlations, we present a generic quantum mechanical system that contains arbitrary number of bosons characterized by wave-packets and that can undergo a Bose-Einstein condensation…

High Energy Physics - Phenomenology · Physics 2009-09-25 J. Zimanyi , T. Csorgo

In close analogy to fermionic many-body theory the truncation of the bosonic BBGKY density matrix hierarchy on the two-body level leads to a coupled set of nonlinear equations of motion for the one-body density matrix and the two-body…

Nuclear Theory · Physics 2009-10-28 J. M. Haeuser , W. Cassing , A. Peter

A model of the mean-field interacting boson gas trapped by a weak harmonic potential is considered by the \textit{boson random point fields} methods. We prove that in the Weak Harmonic Trap (WHT) limit there are two phases distinguished by…

Mathematical Physics · Physics 2009-11-13 Hiroshi Tamura , Valentin Zagrebnov

We discuss the mean-field theories obtained from the leading order in a large-$N$ approximation for one- and two- component dilute Bose gases. For a one-component Bose gas this approximation has the following properties: the Bose-Einstein…

Quantum Gases · Physics 2012-09-05 Chih-Chun Chien , Fred Cooper , Eddy Timmermans

The Bose-Einstein correlations of photons emitted {}from a longitudinally expanding system of excited matter produced in ultrarelativistic heavy ion collision are studied. Two effects found in recent calculations -- that the correlation…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. Timmermann , M. Pluemer , L. V. Razumov , R. M. Weiner

We compute the full probability distribution of the moment of inertia $I \propto \sum_{i=1}^N \vec{r}_i^{\,2}$ of a gas of $N$ noninteracting bosons trapped in a harmonic potential $V(r) = (1/2)\, m\, \omega^2 r^2$, in all dimensions and at…

Statistical Mechanics · Physics 2025-11-18 Manas Kulkarni , Satya N. Majumdar , Gregory Schehr

The influence of the HBT effect on the momentum spectra of independently produced pions is studied using the method developed earlier for discussion of multiplicity distributions. It is shown that in this case all the spectra and…

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

q-deformed oscillators and the q-Bose gas model enable effective description of the observed non-Bose type behavior of the intercept ("strength") $\lambda^{(2)}\equiv C^{(2)}(K,K)-1$ of two-particle correlation function $C^{(2)}(p_1,p_2)$…

High Energy Physics - Phenomenology · Physics 2008-12-19 Alexandre M. Gavrilik

We study the expansion of a Bose-Einstein condensate trapped in a combined optical-lattice and axially-symmetric harmonic potentials using the numerical solution of the mean-field Gross-Pitaevskii equation. First, we consider the expansion…

Soft Condensed Matter · Physics 2009-11-10 Sadhan K. Adhikari

Interference of two independently prepared ideal Bose gases is discussed, on the basis of the idea of measurement-induced interference: even if the number of each gas is individually fixed finite and the symmetry of the system is not…

Quantum Gases · Physics 2011-03-16 Mauro Iazzi , Kazuya Yuasa
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