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The Casimir force due to {\it thermal} fluctuations (or pseudo-Casimir force) was previously calculated for the perfect Bose gas in the slab geometry for various boundary conditions. The Casimir pressure due to {\it quantum} fluctuations in…

High Energy Physics - Theory · Physics 2011-02-16 Ariel Edery

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 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

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 explore Casimir effect on an interacting Bose-Einstein condensate (BEC) inside a cylindrical tube. The Casimir force for the confined BEC comprises of (i) a mean-field part arising from the spatial inhomogeneity of the condensate order…

Statistical Mechanics · Physics 2015-11-30 Shyamal Biswas , Saugata Bhattacharyya , Amit Agarwal

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 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

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

In a recent letter, Martin and Zagrebnov [Europhys. Lett., 73 (2006) 1] discussed the thermodynamic Casimir effect for the ideal Bose gas confined in a thin film. We point out that their findings can be expressed in terms of previous…

Statistical Mechanics · Physics 2007-05-23 A. Gambassi , S. Dietrich

In this study, we consider motion of the massive and charged Bose gas trapped in electric and magnetic fields between two parallel plates in the $x-y$ plane that are separated by a distance $d$ in the $z$ direction. We derive analytical…

Quantum Physics · Physics 2015-08-06 Seyit Deniz Han , Ekrem Aydiner

We have presented an analytic theory for the Casimir force on a Bose-Einstein condensate (BEC) which is confined between two parallel plates. We have considered Dirichlet boundary conditions for the condensate wave function as well as for…

Statistical Mechanics · Physics 2010-04-08 Shyamal Biswas , J. K. Bhattacharjee , Dwipesh Majumder , Kush Saha , Nabajit Chakravarty

We discuss a force arising from zero-temperature quantum fluctuations in a weakly interacting Bose-Einstein condensate (BEC). We argue that there is a drag force on an object moving at speeds well below Landau's critical velocity, and…

Statistical Mechanics · Physics 2008-04-09 D. C. Roberts , Y. Pomeau

The Casimir effect in a dilute Bose gas confined between two planar walls is investigated in the canonical ensemble at zero temperature by means of Cornwall-Jackiw-Tomboulis effective action approach within the improved Hartree-Fock…

Quantum Gases · Physics 2021-06-02 Nguyen Van Thu

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

We study the Casimir effect for a three dimensional system of ideal free massive Bose gas in a slab geometry with Zaremba and anti-periodic boundary conditions. It is found that for these type of boundary conditions the resulting Casimir…

Statistical Mechanics · Physics 2018-04-09 Mir Mehedi Faruk , Shovon Biswas

We calculate a force due to zero-temperature quantum fluctuations on a stationary object in a moving superfluid flow. We model the object by a localized potential varying only in the flow direction and model the flow by a three-dimensional…

Other Condensed Matter · Physics 2009-11-11 D. C. Roberts , Y. Pomeau

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

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

The occurrence of phase fluctuations due to thermal excitations in Bose-Einstein condensates (BECs) is studied for a variety of temperatures and trap geometries. We observe the statistical nature of the appearence of phase fluctuations and…

The electromagnetic Casimir effect manifests as the interaction between uncharged conducting objects that are placed in a vacuum. More generally, the Casimir-like effect denotes an induced interaction between external bodies in a…

Quantum Gases · Physics 2019-05-16 Benjamin Reichert , Zoran Ristivojevic , Aleksandra Petkovic
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