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We propose a new form of the inversion method in terms of a selfenergy expansion to access the phase diagram of the Bose-Einstein transition. The dependence of the critical temperature on the interaction parameter is calculated. This is…

Statistical Mechanics · Physics 2009-11-13 K. Morawetz , M. Maennel , M. Schreiber

Presently, the main method of producing new high-temperature superconductors is chemical when record temperatures of the superconducting transition $T_c$ are reached due to changes in the chemical structure of a superconductor. This paper…

General Physics · Physics 2019-04-17 Victor D. Lakhno

A number of calculations have appeared for the Bose-Einstein condensation temperature (Tc) of a weakly repulsive dilute Bose gas. After a short survey of previous work, I point out several issues related to these approaches, and outline…

Condensed Matter · Physics 2007-05-23 Masudul Haque

We derive, through analysis of the structure of diagrammatic perturbation theory, the scaling behavior of the condensate and superfluid mass density of a dilute Bose gas just below the condensation transition. Sufficiently below the…

Statistical Mechanics · Physics 2009-11-07 Markus Holzmann , Gordon Baym

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

A homogeneous Bose gas is investigated at finite temperature using renormalization group techniques. A non--perturbative flow equation for the effective potential is derived using sharp and smooth cutoff functions. Numerical solutions of…

Condensed Matter · Physics 2009-10-31 Jens O. Andersen , Michael Strickland

For some time, the theoretical result for the transition temperature of a dilute three-dimensional Bose gas in an arbitrarily wide harmonic trap has been known to first order in the interaction strength. We extend that result to second…

Statistical Mechanics · Physics 2009-11-07 Peter Arnold , Boris Tomasik

We study the occurrence of a Bose-Einstein transition in a dilute gas with repulsive interactions, starting from temperatures above the transition temperature. The formalism, based on the use of Ursell operators, allows us to evaluate the…

Statistical Mechanics · Physics 2007-05-23 M. Holzmann , P. Gruter , F. Laloe

We develop finite temperature theory for a trapped dipolar Bose gas including thermal exchange interactions. Previous treatments neglected these, difficult to compute, terms. We present a methodology for numerically evaluating the thermal…

Quantum Gases · Physics 2015-06-11 S. C. Cormack , D. A. W. Hutchinson

We present an improved many-body T-matrix theory for partially Bose-Einstein condensed atomic gases by treating the phase fluctuations exactly. The resulting mean-field theory is valid in arbitrary dimensions and able to describe the…

Condensed Matter · Physics 2014-10-13 U. Al Khawaja , J. O. Andersen , N. P. Proukakis , H. T. C Stoof

We consider a three-dimensional weakly interacting Bose gas in the fluctuation region (and its vicinity) of the normal-superfluid phase transition point. We establish relations between basic thermodynamic functions: density, $n(T,\mu)$,…

Superconductivity · Physics 2007-05-23 Nikolay Prokof'ev , Oliver Ruebenacker , Boris Svistunov

We investigate Bose-Einstein condensation for interacting bosons at zero and nonzero temperature. Functional renormalization provides us with a consistent method to compute the effect of fluctuations beyond the Bogoliubov approximation. For…

Superconductivity · Physics 2009-01-28 S. Floerchinger , C. Wetterich

We consider the properties of a gas of bosonic diatomic molecules in the limit when few of the molecules are dissociated. Taking into account the effects of dissociation and scattering among molecules and atoms, we calculate the dispersion…

Other Condensed Matter · Physics 2015-06-25 L. M. Jensen , H. Mäkelä , C. J. Pethick

We analyze the ground-state and low-temperature properties of a one-dimensional Bose gas in a harmonic trapping potential using the numerical density matrix renormalization group. Calculations cover the whole range from the Bogoliubov limit…

Other Condensed Matter · Physics 2009-11-11 Bernd Schmidt , Michael Fleischhauer

We experimentally study the energy-temperature relationship of a harmonically trapped Bose-Einstein condensate by transferring a known quantity of energy to the condensate and measuring the resulting temperature change. We consider two…

Quantum Gases · Physics 2022-02-09 S. K. Ruddell , D. H. White , A. Ullah , D. Baillie , M. D. Hoogerland

We produce the discontinuity in the specific heat of a homogeneous, dilute, and weakly interacting Bose gas in a short-wavelength range with a simple statistical method. The magnitude of the discontinuity at the phase transition temperature…

Statistical Mechanics · Physics 2007-07-31 Sang-Hoon Kim

We investigate the thermodynamic behaviour of a Bose gas interacting with repulsive forces and confined in a harmonic anisotropic trap. We develop the formalism of mean field theory for non uniform systems at finite temperature, based on…

Condensed Matter · Physics 2015-06-25 S. Giorgini , L. P. Pitaevskii , S. Stringari

A classical fields approximation to the finite temperature microcanonical thermodynamics of weakly interacting Bose gas is applied to the idealized case of atoms confined in a box with periodic boundary conditions. We analyze in some detail…

Condensed Matter · Physics 2009-11-10 Miroslaw Brewczyk , Peter Borowski , Mariusz Gajda , Kazimierz Rzazewski

We consider the effect of inter-atom interactions on the condensation temperature $T_c$ of an atomic Bose-Einstein condensate. We find an analytic expression of the shift in $T_c$ induced by interactions with respect the ideal…

Quantum Gases · Physics 2022-10-31 Fabio Briscese

Thermodynamical properties of an interacting system of scalar bosons at finite temperatures are studied within the framework of a field-theoretical model containing the attractive and repulsive self-interaction terms. Self-consistency…

Nuclear Theory · Physics 2019-08-28 I. N. Mishustin , D. V. Anchishkin , L. M. Satarov , O. S. Stashko , H. Stoecker
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