Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1708.04410

Casimir force between two impurities immersed in a Bose-Einstein condensate

Jianhua Liu, Yaohui Zhu, Pei-Song He

Published Aug 15, 2017• 0 citations
arXivHTMLPDF

Abstract

In this paper, we study the problem of an impurity with infinite mass and the Casimir force between two impurities immersed in a Bose-Einstein condensate. Our calculation results shows that the Casimir force decays exponentially in distance at large distance.
DOI
10.48550/arxiv.1708.04410

Related papers

Two-body effective potential between impurities in ideal BEC

G. Panochko, V. Pastukhov

We exactly calculate the full temperature dependence of the Casimir-like forces appearing between two static impurities loaded in the ideal Bose gas below the Bose-Einstein condensation transition point. Assuming the short-ranged character of the boson-impurity interaction we show how to calculate properties of Bose system with arbitrary number of impurities immersed.

•Sep 3, 2019•0 citations

Casimir effect of an ideal Bose gas trapped in a generic power-law potential

Tongling Lin, Guozhen Su, Qiuping Alexandre Wang +1 more

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 ideal Bose gas, the Casimir potential and force are calculated. The scaling function is obtained and discussed. The special cases of free and harmonic potentials are also discussed. It is found that when T ⩽ T c (where T c is the critical temperature of Bose-Einstein condensation), the Casimir force is a power-law decay function; when T > T c , the Casimir force is an exponential decay function; and when T ≫ T c , the Casimir force vanishes.

arXiv:1209.3392•Europhysics Letters (EPL)•May 1, 2012•5 citations

Mediated interactions between two impurities immersed in a Bose–Einstein condensate

Dong-Chen Zheng, Chun-Rong 春荣 Ye 叶, Ye Lin +2 more

Abstract We consider two pointlike static impurities without direct interaction immersed in a three-dimensional Bose–Einstein condensate (BEC) at zero temperature. By solving the Gross–Pitaevskii (GP) equation in a perturbative manner, we calculate the ground state energy in the region where the atom–impurity interaction is assumed to be weak. We obtain an analytical expression for the spatial distribution of atom number density and the effective force between these two impurities. The effective force is found to be closely related to the strength of the atom–impurity interaction and the relative distance between these two impurities. Two critical relative distances are found between the two impurities. The first one corresponds to the vanishing of the perturbed energy with impurities, although the effective force between the two impurities still exists. At the second critical value, the energy of the impurities changes linearly with the atom–impurity interaction; otherwise, it changes quadratically with the atom–impurity interaction.

Chinese Physics B•Jul 2, 2025•0 citations

Two- and three-body effective potentials between impurities in ideal BEC

G. Panochko, V. Pastukhov

Abstract We exactly calculate the full temperature dependence of Casimir-like forces appearing between two and three static impurities loaded in the ideal Bose gas below the Bose–Einstein condensation transition point. Assuming the short-ranged character of the boson-impurity interaction, the calculation procedure presented here can be easily extended on a Bose system with an arbitrary number of impurities immersed.

arXiv:1909.01256•Journal of Physics A Mathematical and Theoretical•Jan 14, 2021•28 citations

Repulsive Casimir force in Bose–Einstein Condensate

Mir Mehedi Faruk, Shovon Biswas

Abstract 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 force is repulsive in nature, in contrast with usual periodic, Dirichlet or Neumann boundary condition where the Casimir force is attractive (Martin and Zagrebnov 2006 Europhys. Lett. 73 15). Casimir forces in these boundary conditions also maintain a power law decay function below condensation temperature and exponential decay function above the condensation temperature albeit with a positive sign, identifying the repulsive nature of the force.

arXiv:1712.08200•Journal of Statistical Mechanics Theory and Experiment•Apr 1, 2018•17 citations

Oscillating Casimir potential between two impurities in a spin-orbit-coupled Bose-Einstein condensate

Pei-Song He, Qing Sun, An-Chun Ji

We study the Casimir potential between two impurities immersed in a spin-orbit-coupled Bose-Einstein condensate (BEC) with plane-wave order. We find that by exchanging the virtual excitations, a remarkable anisotropic oscillating potential with both positive and negative parts can be induced between the impurities, with the period of the oscillation depending on the spin-orbit-coupling strength. As a consequence, this would inevitably lead to a noncentral Casimir force, which can be tuned by varying the strength of the spin-orbit coupling (SOC). These results are elucidated for BECs with one-dimensional Raman-induced and two-dimensional Rashba-type SOCs.

arXiv:1709.01978•Physical Review A•Oct 18, 2017•3 citations
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 ideal Bose gas, the Casimir potential and force are calculated. The scaling function is obtained and discussed. The special cases of free and harmonic potentials are also discussed. It is found that when T ⩽ T c (where T c is the critical temperature of Bose-Einstein condensation), the Casimir force is a power-law decay function; when T > T c , the Casimir force is an exponential decay function; and when T ≫ T c , the Casimir force vanishes.
Abstract We consider two pointlike static impurities without direct interaction immersed in a three-dimensional Bose–Einstein condensate (BEC) at zero temperature. By solving the Gross–Pitaevskii (GP) equation in a perturbative manner, we calculate the ground state energy in the region where the atom–impurity interaction is assumed to be weak. We obtain an analytical expression for the spatial distribution of atom number density and the effective force between these two impurities. The effective force is found to be closely related to the strength of the atom–impurity interaction and the relative distance between these two impurities. Two critical relative distances are found between the two impurities. The first one corresponds to the vanishing of the perturbed energy with impurities, although the effective force between the two impurities still exists. At the second critical value, the energy of the impurities changes linearly with the atom–impurity interaction; otherwise, it changes quadratically with the atom–impurity interaction.
Abstract 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 force is repulsive in nature, in contrast with usual periodic, Dirichlet or Neumann boundary condition where the Casimir force is attractive (Martin and Zagrebnov 2006 Europhys. Lett. 73 15). Casimir forces in these boundary conditions also maintain a power law decay function below condensation temperature and exponential decay function above the condensation temperature albeit with a positive sign, identifying the repulsive nature of the force.
We study the Casimir potential between two impurities immersed in a spin-orbit-coupled Bose-Einstein condensate (BEC) with plane-wave order. We find that by exchanging the virtual excitations, a remarkable anisotropic oscillating potential with both positive and negative parts can be induced between the impurities, with the period of the oscillation depending on the spin-orbit-coupling strength. As a consequence, this would inevitably lead to a noncentral Casimir force, which can be tuned by varying the strength of the spin-orbit coupling (SOC). These results are elucidated for BECs with one-dimensional Raman-induced and two-dimensional Rashba-type SOCs.