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We discuss thermal and dynamical properties of Bose condensates confined by an external potential. First we analyze the Bose-Einstein transition temperature for an ideal Bose gas in a generic power-law potential and d-dimensional space.…

Statistical Mechanics · Physics 2007-05-23 Luca Salasnich

When massless excitations are limited or modified by the presence of material bodies one observes a force acting between them generally called Casimir force. Such excitations are present in any fluid system close to its true bulk critical…

Statistical Mechanics · Physics 2016-10-05 Daniel M Dantchev , Vassil M Vassilev , Peter A Djondjorov

We discuss the Casimir effect for massless scalar fields subject to the Dirichlet boundary conditions on the parallel plates at finite temperature in the presence of one fractal extra compactified dimension. We obtain the Casimir energy…

High Energy Physics - Theory · Physics 2015-05-30 Hongbo Cheng

Although Casimir forces are inseparable from their fluctuations, little is known about these fluctuations in soft matter systems. We use the membrane stress tensor to study the fluctuations of the membrane-mediated Casimir-like force. This…

Soft Condensed Matter · Physics 2011-06-10 Anne-Florence Bitbol , Paul G. Dommersnes , Jean-Baptiste Fournier

Understanding the force between charged surfaces immersed in an electrolyte solution is a classic problem in soft matter and liquid-state theory. Recent experiments showed that the force decays exponentially but the characteristic decay…

Soft Condensed Matter · Physics 2018-09-26 Alpha A. Lee , Jean-Pierre Hansen , Olivier Bernard , Benjamin Rotenberg

We find that in very elongated 3D trapped Bose gases, even at temperatures far below the BEC transition temperature Tc, the equilibrium state will be a 3D condensate with fluctuating phase (quasicondensate). At sufficiently low temperatures…

Statistical Mechanics · Physics 2009-11-07 D. S. Petrov , G. V. Shlyapnikov , J. T. M. Walraven

Fluctuations are a key property of both classical and quantum systems. While the fluctuations are well understood for many quantum systems at zero temperature, the case of an interacting quantum system at finite temperature still poses…

We study Casimir interactions between cylinders in thermal non-equilibrium, where the objects as well as the environment are held at different temperatures. We provide the general formula for the force, in a one reflection approximation,…

Quantum Physics · Physics 2013-01-17 Vladyslav A. Golyk , Matthias Krüger , M. T. Homer Reid , Mehran Kardar

The Casimir force between dissipative metallic mirrors at non zero temperature has recently given rise to contradictory claims which have raised doubts about the theoretical expression of the force. In order to contribute to the resolution…

Quantum Physics · Physics 2007-05-23 Serge Reynaud , Astrid Lambrecht , Cyriaque Genet

Quasi one dimensional Bose-Einstein condensates (BECs) in elongated traps exhibit significant phase fluctuations even at very low temperatures. We present recent experimental results on the dynamic transformation of phase fluctuations into…

This article gives a rigorous analysis of the fluctuations of the Bose-Einstein condensate for a system of non-interacting bosons in an arbitrary potential, assuming that the system is governed by the canonical ensemble. As a result of the…

Probability · Mathematics 2014-03-05 Sourav Chatterjee , Persi Diaconis

We study an ultracold Bose gas in an optical dipole trap consisting of one single focused laser beam. An analytical expression for the corresponding density of states beyond the usual harmonic approximation is obtained. We are thus able to…

Quantum Gases · Physics 2013-05-29 Lena Simon , Walter T. Strunz

We address three different problematic Casimir experiments in this work. The first is the classical Casimir force measured between two metal half spaces; here in the form of the Casimir pressure measurement between a gold sphere and a gold…

Quantum Physics · Physics 2009-10-27 Bo E. Sernelius

We have investigated experimentally the finite-temperature properties of a Bose-Einstein condensed cloud of $^{87}$Rb atoms in a harmonic trap. Focusing primarily on condensed fraction and expansion energy, we measure unambiguous deviations…

Other Condensed Matter · Physics 2007-05-23 Fabrice Gerbier , Joseph H. Thywissen , Simon Richard , Mathilde Hugbart , Philippe Bouyer , Alain Aspect

The dynamics of weakly interacting three-dimensional Bose-Einstein condensates (BECs), trapped in external axially symmetric plus anharmonic distortion potential are studied. Within a variational approach and time-dependent Gross-Pitaevskii…

Quantum Gases · Physics 2022-07-01 Hamid Al-Jibbouri

We investigate the possibility that the BEC-like phenomena recently detected on two-dimensional finite trapped systems consist of fragmented condensates. We derive and diagonalize the one-body density matrix of a two-dimensional…

Statistical Mechanics · Physics 2015-06-25 Juan Pablo Fernández , William J. Mullin

Thermal effects contributing to the Casimir interaction between objects are usually small at room temperature and they are difficult to separate from quantum mechanical contributions at higher temperatures. We propose that the thermal…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Anh D. Phan , Lilia M. Woods , D. Drosdoff , I. V. Bondarev , N. A. Viet

We develop a finite temperature Hartree theory for the trapped dipolar Bose gas. We use this theory to study thermal effects on the mechanical stability of the system and density oscillating condensate states. We present results for the…

Quantum Gases · Physics 2012-09-19 R. N. Bisset , D. Baillie , P. B. Blakie

We study the Casimir effect in the vicinity of a quantum critical point. As a prototypical system we analyze the $d$-dimensional imperfect (mean-field) Bose gas enclosed in a slab of extension $L^{d-1}\times D$ and subject to periodic…

Statistical Mechanics · Physics 2016-07-08 P. Jakubczyk , M. Napiórkowski , T. Sęk

Using Cornwal-Jackiw-Tomboulis effective potential approach we found that at zero temperature, in improved Hartree-Fock approximation, the effective masses and order parameters of a two component Bose-Einstein condensates confined between…

Quantum Gases · Physics 2019-02-05 Nguyen Van Thu