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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

The Casimir effect of an ideal Bose gas trapped in a generic power-law potential and confined between two slabs with Dirichlet, Neumann, and periodic boundary conditions is investigated systematically, based on the grand potential of the…

Statistical Mechanics · Physics 2015-06-11 Tongling Lin , Guozhen Su , Qiuping A. Wang , Jincan Chen

We study the Casimir effect for a 3-d system of ideal Bose gas in a slab geometry with Dirichlet boundary condition. We calculate the temperature($T$) dependence of the Casimir force below and above the Bose-Einstein condensation…

Statistical Mechanics · Physics 2009-11-19 Shyamal Biswas

This paper studies the finite temperature Casimir force acting on a rectangular piston associated with a massless fractional Klein-Gordon field at finite temperature. Dirichlet boundary conditions are imposed on the walls of a…

High Energy Physics - Theory · Physics 2009-10-07 S. C. Lim , L. P. Teo

We study the Bose-Einstein condensation for a 3-d system of ideal Bose gas which is harmonically trapped along two perpendicular directions and is confined in between two slabs along the other perpendicular direction. We calculate the…

Statistical Mechanics · Physics 2007-05-23 Shyamal Biswas

We analyze the Casimir forces for an ideal Bose gas enclosed between two infinite parallel walls separated by the distance D. The walls are characterized by the Dirichlet boundary conditions. We show that if the thermodynamic state with…

Statistical Mechanics · Physics 2020-08-26 M. Napiorkowski , J. Piasecki , J. W. Turner

We present a study of the Casimir effect in an imperfect (mean-field) Bose gas contained between two infinite parallel plane walls. The derivation of the Casimir force follows from the calculation of the excess grand canonical free energy…

Statistical Mechanics · Physics 2015-06-03 Marek Napiorkowski , Jaroslaw Piasecki

Some properties of an ideal gas of massive bosons in a mean field potential and, confined between two infinite parallel slabs in a d-dimensional configuration space are investigated systematically. Here, one particle density of states…

Statistical Mechanics · Physics 2015-07-03 G. M. Bhuiyan

Quantities associated with Casimir forces are calculated in a model wave system of one spatial dimension with Dirichlet or Neumann boundary conditions. 1)Due to zero-point fluctuations, a partition is attracted to the walls of a box if the…

Quantum Physics · Physics 2009-11-07 Timothy H. Boyer

Recently it has been suggested that relativistic Bose gas of some type can be playing role in issues like dark matter, dark energy, and in some cosmological problems. In the current article we investigate one known exactly solvable model of…

Statistical Mechanics · Physics 2020-08-26 Daniel Dantchev

We evaluate the Casimir energy and force for a massive scalar field with general curvature coupling parameter, subject to Robin boundary conditions on two codimension-one parallel plates, located on a $(D+1)$-dimensional background…

High Energy Physics - Theory · Physics 2009-12-10 E. Elizalde , S. D. Odintsov , A. A. Saharian

In this study, we have derived close form of the Casimir force for the non-interacting ideal Bose gas between two slabs in harmonic-optical lattice potential by using Ketterle and van Druten approximation. We find that Bose-Einstein…

Quantum Physics · Physics 2015-04-07 Ekrem Aydiner

We consider the finite temperature Casimir force acting on two parallel plates in a closed cylinder with the same cross section of arbitrary shape in the presence of extra dimensions. Dirichlet boundary conditions are imposed on one plate…

High Energy Physics - Theory · Physics 2017-08-23 L. P. Teo , K. Kirsten

The Casimir effect giving rise to an attractive or repulsive force between the configuration boundaries that confine the massless scalar field is reexamined for one to three-dimensional pistons in this paper. Especially, we consider Casimir…

High Energy Physics - Theory · Physics 2008-11-26 Xiang-hua Zhai , Xin-zhou Li

We consider the thermal Casimir effect in ideal Bose gases, where the dispersion relation involves both terms quadratic and quartic in momentum. We demonstrate that if macroscopic objects are immersed in such a fluid in spatial…

Statistical Mechanics · Physics 2023-07-19 Marcin Pruszczyk , Paweł Jakubczyk

We analyze the thermodynamic Casimir effect occurring in a gas of non-interacting bosons confined by two parallel walls with a strongly anisotropic dispersion inherited from an underlying lattice. In the direction perpendicular to the…

Quantum Gases · Physics 2021-09-01 Marek Napiórkowski , Pawel Jakubczyk

The infrared behavior of quantum field theories confined in bounded domains is strongly dependent on the shape and structure of space boundaries. The most significant physical effect arises in the behaviour of the vacuum energy. The Casimir…

High Energy Physics - Theory · Physics 2013-07-16 M. Asorey , J. M. Munoz-Castaneda

We study the thermal Casimir effect in ideal Bose gases with spin-orbit (S-O) coupling of Rashba type below the critical temperature for Bose-Einstein condensation. In contrast to the standard situation involving no S-O coupling, the system…

Quantum Gases · Physics 2026-04-01 Marek Napiórkowski , Pawel Jakubczyk

Developing Bogoliubov theory of weakly interacting Bose gas in uncompacted three-dimension space, quantum fluctuation energy of one component dilute gas of Bose-Einstein condensate (BEC) confined to two parallel plates investigated at…

Quantum Gases · Physics 2021-04-29 Pham The Song

We consider the Bose gas on a $d$-dimensional anisotropic lattice employing the imperfect (mean-field) gas as a prototype example. We study the dimensional crossover arising as a result of varying the dispersion relation at finite…

Statistical Mechanics · Physics 2020-08-05 Maciej Łebek , Paweł Jakubczyk
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