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The partition function and specific heat of a system consisting of a finite number of bosons confined in an external potential are calculated in canonical ensemble. Using the grand partition function as the generating function of the…

Condensed Matter · Physics 2009-10-30 Wenji Deng , P. M. Hui

We explore the zero-temperature statics of an atomic Bose-Einstein condensate in which a Feshbach resonance creates a coupling to a second condensate component of quasi-bound molecules. Using a variational procedure to find the equation of…

Other Condensed Matter · Physics 2009-11-10 George E. Cragg , Arthur K. Kerman

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

Collective excitations of a dilute Bose gas were probed above and below the Bose-Einstein condensation temperature. The temperature dependencies of the frequency and damping rates of condensate oscillations indicate significant interactions…

Condensed Matter · Physics 2007-05-23 D. M. Stamper-Kurn , H. -J. Miesner , S. Inouye , M. R. Andrews , W. Ketterle

We calculate the time-dependent formation of Bose--Einstein condensates (BECs) in potassium vapours based on a previously derived exactly solvable nonlinear boson diffusion equation (NBDE). Thermalization following a sudden energy quench…

Quantum Gases · Physics 2022-11-23 Anton Kabelac , Georg Wolschin

The Bose-Einstein condensation for an ideal Bose gas and for a dilute weakly interacting Bose gas in a manifold with nonnegative Ricci curvature is investigated using the heat kernel and eigenvalue estimates of the Laplace operator. The…

Mathematical Physics · Physics 2014-03-31 Levent Akant , Emine Ertugrul , Ferzan Tapramaz , O. Teoman Turgut

Structures and parameters of some high and low temperature superconductors (HTSC, LTSC) are considered basing on the alternative estimate of the O2- ion radius magnitude (0.5-0.6) A. Phase transitions into the superconducting state are…

Superconductivity · Physics 2007-05-23 V. N. Bogomolov

We discuss certain specific features of the calculation of the critical temperature of a dilute repulsive Bose gas. Interactions modify the critical temperature in two different ways. First, for gases in traps, temperature shifts are…

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

A lower bound is derived on the free energy (per unit volume) of a homogeneous Bose gas at density $\rho$ and temperature $T$. In the dilute regime, i.e., when $a^3\rho \ll 1$, where $a$ denotes the scattering length of the pair-interaction…

Mathematical Physics · Physics 2015-06-26 Robert Seiringer

We determine the leading shift of the Bose-Einstein condensation temperature for an ultracold dilute atomic gas in a harmonic trap due to weak disorder by treating both a Gaussian and a Lorentzian spatial correlation for the quenched…

Disordered Systems and Neural Networks · Physics 2009-11-11 Matthias Timmer , Axel Pelster , Robert Graham

In this paper we study the entanglement properties of free {\em non-relativistic} Bose gases. At zero temperature, we calculate the bipartite block entanglement entropy of the system, and find it diverges logarithmically with the particle…

Quantum Physics · Physics 2009-08-01 Wenxin Ding , Kun Yang

We study a Bose-condensed gas at finite temperature, in which the particles of the condensate and of the thermal cloud are constrained to move in a plane under radial harmonic confinement and interact via strictly two-dimensional…

Soft Condensed Matter · Physics 2009-11-10 K. K. Rajagopal , P. Vignolo , M. P. Tosi

By performing heat capacity, magnetocaloric effect, torque magnetometry and force magnetometry measurements up to 33 T, we have mapped out the T-H phase diagram of the S = 1/2 spin dimer compound Ba3Cr2O8. We found evidence for…

Strongly Correlated Electrons · Physics 2009-04-03 A. A. Aczel , Y. Kohama , M. Jaime , L. Balicas , K. Ninios , H. B. Chan , H. A. Dabkowska , G. M. Luke

We consider a mobile impurity immersed in a Bose gas at finite temperature. Using perturbation theory valid for weak coupling between the impurity and the bosons, we derive analytical results for the energy and damping of the impurity for…

We study the thermodynamic behaviour of an ideal gas of bosons trapped in a three-dimensional anisotropic harmonic oscillator potential. The condensate fraction as well as the specific heat is calculated using the Euler-Maclaurin…

Condensed Matter · Physics 2009-10-28 T. Haugset , H. Haugerud , J. O. Andersen

The possibility of formation of Bose-Einstein Condensation (BEC) is studied in $pp$ collisions at $\sqrt s$ = 7 TeV at the Large Hadron Collider. A thermodynamically consistent non-extensive formulation of the identified hadron transverse…

High Energy Physics - Phenomenology · Physics 2021-05-12 Suman Deb , Dushmanta Sahu , Raghunath Sahoo , Anil Kumar Pradhan

We investigate a Bose gas with finite-range interaction using a scheme to eliminate unphysical processes in the T-matrix approximation. In this way the corrected T-matrix becomes suitable to calculate properties below the critical…

Statistical Mechanics · Physics 2010-03-11 M. Männel , K. Morawetz , P. Lipavský

We have studied an effect of uniaxial strain to the temperature of Bose-Einstein condensation of intersite bipolarons within the framework of Extended Holstein-Hubbard model. Uniaxial lattice strains are taken into an account by introducing…

Strongly Correlated Electrons · Physics 2013-08-13 B. Ya. Yavidov

We present precise path-integral Monte-Carlo results for the thermodynamics of a homogeneous dilute Bose gas. Pressure and energy are calculated as a function of temperature both below and above the Bose-Einstein transition. Specifically,…

Quantum Gases · Physics 2023-10-23 Gabriele Spada , Sebastiano Pilati , Stefano Giorgini
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