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We present a study of magnetic field induced quantum phase transitions in insulating systems. A generalized scaling theory is used to obtain the temperature dependence of several physical quantities along the quantum critical trajectory…

Strongly Correlated Electrons · Physics 2009-11-11 Mucio A. Continentino

We introduce a generalized definition of the isothermal compressibility ($\kappa_{T,\sigma_Q^2}$) calculable by keeping net conserved charge fluctuations rather than total number densities constant. We present lattice QCD results for this…

High Energy Physics - Lattice · Physics 2026-04-01 D. A. Clarke , J. Goswami , F. Karsch , P. Petreczky

We improve on the Popov theory for partially Bose-Einstein condensed atomic gases by treating the phase fluctuations exactly. As a result, the theory becomes valid in arbitrary dimensions and is able to describe the low-temperature…

Condensed Matter · Physics 2009-11-07 J. O. Andersen , U. Al Khawaja , H. T. C Stoof

The miscibility of two interacting quantum systems is an important testing ground for the understanding of complex quantum systems. Two-component Bose-Einstein condensates enable the investigation of this scenario in a particularly well…

We present a microscopic theory of the second order phase transition in an interacting Bose gas that allows one to describe formation of an ordered condensate phase from a disordered phase across an entire critical region continuously. We…

Statistical Mechanics · Physics 2015-11-27 Vitaly V. Kocharovsky , Vladimir V. Kocharovsky

Using a multiple-image reconstruction method applied to a harmonically trapped Bose gas, we determine the equation of state of uniform matter across the critical transition point, within the local density approximation. Our experimental…

Quantum Gases · Physics 2020-10-14 C. Mordini , D. Trypogeorgos , A. Farolfi , L. Wolswijk , S. Stringari , G. Lamporesi , G. Ferrari

A detailed calculation of the real part of the finite temperature dynamic susceptibility of the free Bose gas is presented. After a short discussion on the different ways in which it can be calculated for temperatures above and below the…

Statistical Mechanics · Physics 2009-11-07 F. Mazzanti , A. Polls

The shift in condensation temperature caused by interactions is studied up to second order in the s-wave scattering length in a Bose-Einstein condensate trapped in a temperature-dependent three-dimensional generic potential. With no…

Quantum Gases · Physics 2020-07-06 E. Castellanos , F. Briscese , M. Grether , M. de Llano

Significant evidence is available to support the quantum effects of gravity that leads to the generalized uncertainty principle (GUP) and the minimum observable length. Usually quantum mechanics, statistical physics doesn't take gravity…

Quantum Gases · Physics 2020-06-24 Ya-ting Wang , He-ling Li

We consider a dilute Bose gas confined by a harmonic potential. We define an appropriate thermodynamic limit and analyze the properties of the phases and phase transition in this limit. Critical properties in the presence of the potential…

Condensed Matter · Physics 2009-10-28 Kedar Damle , T. Senthil , Satya N. Majumdar , Subir Sachdev

The central problem of this chapter is temporal coherence of a three-dimensional spatially homogeneous Bose-condensed gas, initially prepared at finite temperature and then evolving as an isolated interacting system. A first theoretical…

Quantum Gases · Physics 2012-03-21 Yvan Castin , Alice Sinatra

The phase transition of Bose-Einstein condensation is studied in the critical regime, when fluctuations extend far beyond the length scale of thermal de Broglie waves. Using matter-wave interference we measure the correlation length of…

Statistical Mechanics · Physics 2007-10-10 Tobias Donner , Stephan Ritter , Thomas Bourdel , Anton Öttl , Michael Köhl , Tilman Esslinger

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 develop a simple and general variational method to estimate the solutions of the Gross-Pitaevskii equations and obtain the corresponding density profiles for all spin states of a trapped spin-1 Bose-Einstein condensate. We further employ…

Quantum Gases · Physics 2026-03-26 Sahil Satapathy , Projjwal K. Kanjilal , A. Bhattacharyay

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

The thermodynamics framework of an interacting quantum gas trapped by an arbitrary external potential is reviewed. We show that for each confining potential, in the thermodynamic limit, there emerge "generalized" volume and pressure…

Statistical Mechanics · Physics 2016-08-14 Nadia Sandoval-Figueroa , Víctor Romero-Rochín

We study the weakly-interacting Bose gas in both two and three dimensions using a variational approach. In particular we construct the thermodynamic potential of the gas to within ladder approximation and find by minimization an accurate…

Condensed Matter · Physics 2007-05-23 M. Bijlsma , H. T. C. Stoof

In this paper we discuss the presence of temperature-dependent squeezing in the collective excitations of trapped Bose-Einstein condensates, based on a recent theory of quasiparticle damping. A new scheme to measure temperature below the…

Soft Condensed Matter · Physics 2007-05-23 J. Rogel-Salazar , S. Choi , G. H. C. New , K. Burnett

We study thermodynamic properties of weakly interacting Bose gases above the transition temperature of Bose-Einstein condensation in the framework of a thermodynamic perturbation theory. Cases of local and non-local interactions between…

Quantum Gases · Physics 2021-02-05 M. S. Bulakhov , A. S. Peletminskii , Yu. V. Slyusarenko , A. G. Sotnikov

A Bose gas in an external potential is studied by means of the local density approximation. Analytical results are derived for the thermodynamic properties of an ideal Bose gas in a generic power-law trapping potential, and their dependence…

Statistical Mechanics · Physics 2008-02-03 Hualin Shi , Wei-Mou Zheng