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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 investigate thermodynamic properties of lattice Bose gases in optical cavities in the Mott-insulator limit. We find the system assumes anomalous thermodynamic behavior that can be traced back to the breaking of fundamental additivity by…

Quantum Gases · Physics 2020-03-19 Liang He , Su Yi

We compute the shift of the transition temperature for a homogenous weakly interacting Bose gas in leading order in the scattering length a for given particle density n. Using variational perturbation theory through six loops in a classical…

Statistical Mechanics · Physics 2007-05-23 Boris Kastening

When atoms are loaded into an optical lattice, the process of gradually turning on the lattice is almost adiabatic. In this paper we investigate how the temperature changes when going from the gapless superfluid phase to the gapped Mott…

Statistical Mechanics · Physics 2010-09-10 Lode Pollet , Corinna Kollath , Kris Van Houcke , Matthias Troyer

We use the nonperturbative linear \delta expansion method to evaluate analytically the coefficients c_1 and c_2^{\prime \prime} which appear in the expansion for the transition temperature for a dilute, homogeneous, three dimensional Bose…

Soft Condensed Matter · Physics 2009-11-07 Frederico F. de Souza Cruz , Marcus B. Pinto , Rudnei O. Ramos , Paulo Sena

We calculate the transition temperature of a uniform dilute Bose gas with repulsive interactions, using a known virial expansion of the equation of state. We find that the transition temperature is higher than that of an ideal gas, with a…

Condensed Matter · Physics 2009-10-31 K Huang

We calculate the location of the quantum phase transitions of a bose gas trapped in an optical lattice as a function of effective scattering length $a_{\eff}$ and temperature $T$. Knowledge of recent high-loop results on the shift of the…

Statistical Mechanics · Physics 2007-05-23 H. Kleinert , S. Schmidt , A. Pelster

The shift of the Bose-Einstein condensation temperature for a homogenous weakly interacting Bose gas in leading order in the scattering length `a' is computed for given particle density `n.' Variational perturbation theory is used to resum…

Statistical Mechanics · Physics 2007-05-23 Boris Kastening

The dynamics of vortex lattices in stirred Bose-Einstein condensates have been studied at finite temperatures. The decay of the vortex lattice was observed non-destructively by monitoring the centrifugal distortions of the rotating…

Soft Condensed Matter · Physics 2009-11-07 J. R. Abo-Shaeer , C. Raman , W. Ketterle

The geometry of fireballs in relativistic heavy ion collisions is approximated by a static box, which is infinite in two directions while finite in the other direction. The critical temperature of deconfinement phase transition is…

Nuclear Theory · Physics 2020-12-30 Zonghou Han , Baoyi Chen , Yunpeng Liu

The superfluid transition of a three-dimensional gas of hard-sphere bosons in a disordered medium is studied using quantum Monte Carlo methods. Simulations are performed in continuous space both in the canonical and in the grand-canonical…

Other Condensed Matter · Physics 2015-05-13 S. Pilati , S. Giorgini , N. Prokof'ev

A Hartree-Fock mean-field theory of a weakly interacting Bose-gas in a quenched white noise disorder potential is presented. A direct continuous transition from the normal gas to a localized Bose-glass phase is found which has localized…

Disordered Systems and Neural Networks · Physics 2009-11-08 Robert Graham , Axel Pelster

The entropy-temperature curves are calculated for non-interacting bosons in a 3D optical lattice and a 2D lattice with transverse harmonic confinement for ranges of depths and filling factors relevant to current experiments. We demonstrate…

Soft Condensed Matter · Physics 2009-11-10 P. B. Blakie , J. V. Porto

Bose-Einstein condensation (BEC) of an ideal gas is investigated, beyond the thermodynamic limit, for a finite number $N$ of particles trapped in a generic three-dimensional power-law potential. We derive an analytical expression for the…

Quantum Gases · Physics 2019-04-04 Amine Jaouadi , Mourad Telmini , Eric Charron

Fluctuations of the number of condensed atoms in a finite-size, weakly interacting Bose gas confined in a box potential are investigated for temperatures up to the critical region. The canonical partition functions are evaluated using a…

Statistical Mechanics · Physics 2015-05-13 Z. Idziaszek , L. Zawitkowski , M. Gajda , K. Rzazewski

We present a new procedure able to identify and measure the critical temperature. This method is based on the divergence of the relaxation time approaching the critical point in quenches from infinite temperature. We introduce a…

Statistical Mechanics · Physics 2015-05-18 Eugenio Lippiello , Alessandro Sarracino

We analyze the results of a recent experiment with bosonic rubidium atoms harmonically confined in a quasi-two-dimensional geometry. In this experiment a well defined critical point was identified, which separates the high-temperature…

Other Condensed Matter · Physics 2008-05-06 Zoran Hadzibabic , Peter Krüger , Marc Cheneau , Steffen Patrick Rath , Jean Dalibard

We consider a Bose gas with two-body Kac-like scaled interactions V $\gamma$ (r) = $\gamma$ 3 v($\gamma$r) where v(x) is a given repulsive and integrable potential, while $\gamma$ is a positive parameter which controls the range of the…

Statistical Mechanics · Physics 2019-12-17 A. Alastuey , J Piasecki , P. Szymczak

Advances in creating stable dipolar Bose systems, and ingenious box traps have generated tremendous interest. Theory study of dipolar bosons at finite temperature (T) has been limited. Motivated by these, we study 2D dipolar bosons at…

Quantum Gases · Physics 2021-04-21 Pengtao Shen , Khandker F. Quader

We study the anomalous density in an ultra-cold trapped bose gas in a variational framework, for both zero and finite temperature. We show that it is finite in 1D, while it is logarithmically and linearly divergent in 2D and 3D. The…

Quantum Gases · Physics 2016-10-05 Benarous Mohamed
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