Oscillating Casimir force between two slabs in a Fermi sea

doi:10.1088/1674-1056/21/1/010501

Abstract The Casimir effect for two parallel slabs immersed in an ideal Fermi sea is investigated at both zero and nonzero temperatures. It is found that the Casimir effect in a Fermi gas is distinctly different from that in an electromagnetic field or a massive Bose gas. In contrast to the familiar result that the Casimir force decreases monotonically with the increase of the separation L between two slabs in an electromagnetic field and a massive Bose gas, the Casimir force in a Fermi gas oscillates as a function of L. The Casimir force can be either attractive or repulsive, depending sensitively on the magnitude of L. In addition, it is found that the amplitude of the Casimir force in a Fermi gas decreases with the increase of the temperature, which also is contrary to the case in a Bose gas, since the bosonic Casimir force increases linearly with the increase of the temperature in the region T < T_c, where T_c is the critical temperature of the Bose-Einstein condensation.

Keywords: Casimir effect Fermi gas parallel slab oscillation

Received: 28 June 2011
Revised: 16 August 2011
Accepted manuscript online:

PACS:	05.30.-d	(Quantum statistical mechanics)
	03.75.Ss	(Degenerate Fermi gases)
	05.30.Fk	(Fermion systems and electron gas)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10875100) and the Natural Science Foundation of Fujian Province, China (Grant No. A1010016).

Cite this article:

Chen Li-Wei(陈礼炜), Su Guo-Zhen(苏国珍), Chen Jin-Can(陈金灿), and Andresen Bjarne Oscillating Casimir force between two slabs in a Fermi sea 2012 Chin. Phys. B 21 010501

[1]	Casimir H B G 1948 Proc. Ned. Akad. Wet. B 51 793
[2]	Sparnaay M J 1958 Physica 24 751
[3]	Lamoreaux S K 1997 Phys. Rev. Lett. 78 5
[4]	Mohideen U and Roy A 1998 Phys. Rev. Lett. 81 4549
[5]	Bressi G, Carugno G, Onofrio R and Ruoso G 2002 Phys. Rev. Lett. 88 041804
[6]	Antonini P, Bressi G, Carugno G, Galeazzi G, Messineo G and Ruoso G 2006 New J. Phys. 8 239
[7]	Petrov V, Petrov M, Bryksin V, Petter J and Tschudi T J 2007 Exp. Theor. Phys. 104 96
[8]	Casadio R, Gruppuso A, Harms B and Micu O 2007 Phys. Rev. D 76 025016
[9]	Zhai X H and Li X Z 2007 Phys. Rev. D 76 047704
[10]	Alves D T and Granhen E R 2008 Phys. Rev. A 77 015808
[11]	Lim S C and Teo L P 2009 New J. Phys. 11 013055
[12]	Bai Z W 2004 Acta Phys. Sin. 53 2472 (in Chinese)
[13]	Zeng R, Yang Y P and Liu S T 2008 Acta Phys. Sin. 57 4947 (in Chinese)
[14]	Larraza B and Denardo B 1998 Phys. Lett. A 248 151
[15]	Martin P A and Zagrebnov V A 2006 Europhys. Lett. 73 15
[16]	Bulgac A and Wirzba A 2001 Phys. Rev. Lett. 87 120404
[17]	Wirzba A, Bulgac A and Magierski P 2006 J. Phys. A: Math. Gen. 39 6815
[18]	Recati A, Fuchs J N, Pecca C S and Zwerger W 2005 Phys. Rev. A 72 023616
[19]	Bulgac A and Magierski P 2001 Nucl. Phys. A 683 695
[20]	Neergaard G and Madsen J 2000 Phys. Rev. D 62 034005
[21]	Pathria R K 1972 Statistical Mechanics (2nd edn.) (Oxford: Pergamon Press) p. 198

[1]	Spin-orbit coupling adjusting topological superfluid of mass-imbalanced Fermi gas Jian Feng(冯鉴), Wei-Wei Zhang(张伟伟), Liang-Wei Lin(林良伟), Qi-Peng Cai(蔡启鹏), Yi-Cai Zhang(张义财), Sheng-Can Ma(马胜灿), and Chao-Fei Liu(刘超飞). Chin. Phys. B, 2022, 31(9): 090305.
[2]	Improved functional-weight approach to oscillatory patterns in excitable networks Tao Li(李涛), Lin Yan(严霖), and Zhigang Zheng(郑志刚). Chin. Phys. B, 2022, 31(9): 090502.
[3]	Quantum oscillations in a hexagonal boron nitride-supported single crystalline InSb nanosheet Li Zhang(张力), Dong Pan(潘东), Yuanjie Chen(陈元杰), Jianhua Zhao(赵建华), and Hongqi Xu(徐洪起). Chin. Phys. B, 2022, 31(9): 098507.
[4]	Oscillation properties of matter-wave bright solitons in harmonic potentials Shu-Wen Guan(关淑文), Ling-Zheng Meng(孟令正), and Li-Chen Zhao(赵立臣). Chin. Phys. B, 2022, 31(8): 080506.
[5]	Non-universal Fermi polaron in quasi two-dimensional quantum gases Yue-Ran Shi(石悦然), Jin-Ge Chen(陈金鸽), Kui-Yi Gao(高奎意), and Wei Zhang(张威). Chin. Phys. B, 2022, 31(8): 080305.
[6]	Achieving ultracold Bose-Fermi mixture of ⁸⁷Rb and ⁴⁰K with dual dark magnetic-optical-trap Jie Miao(苗杰), Guoqi Bian(边国旗), Biao Shan(单标), Liangchao Chen(陈良超), Zengming Meng(孟增明), Pengjun Wang(王鹏军), Lianghui Huang(黄良辉), and Jing Zhang(张靖). Chin. Phys. B, 2022, 31(8): 080306.
[7]	Spatial and spectral filtering of tapered lasers by using tapered distributed Bragg reflector grating Jing-Jing Yang(杨晶晶), Jie Fan(范杰), Yong-Gang Zou(邹永刚),Hai-Zhu Wang(王海珠), and Xiao-Hui Ma(马晓辉). Chin. Phys. B, 2022, 31(8): 084203.
[8]	Thermodynamic properties of two-dimensional charged spin-1/2 Fermi gases Jia-Ying Yang(杨家营), Xu Liu(刘旭), Ji-Hong Qin(秦吉红), and Huai-Ming Guo(郭怀明). Chin. Phys. B, 2022, 31(6): 060504.
[9]	Enhancement of f_MAX of InP-based HEMTs by double-recessed offset gate process Bo Wang(王博), Peng Ding(丁芃), Rui-Ze Feng(封瑞泽), Shu-Rui Cao(曹书睿), Hao-Miao Wei(魏浩淼), Tong Liu(刘桐), Xiao-Yu Liu(刘晓宇), Hai-Ou Li(李海鸥), and Zhi Jin(金智). Chin. Phys. B, 2022, 31(5): 058506.
[10]	Impact of gate offset in gate recess on DC and RF performance of InAlAs/InGaAs InP-based HEMTs Shurui Cao(曹书睿), Ruize Feng(封瑞泽), Bo Wang(王博), Tong Liu(刘桐), Peng Ding(丁芃), and Zhi Jin(金智). Chin. Phys. B, 2022, 31(5): 058502.
[11]	Nonlinear oscillation characteristics of magnetic microbubbles under acoustic and magnetic fields Lixia Zhao(赵丽霞), Huimin Shi(史慧敏), Isaac Bello, Jing Hu(胡静), Chenghui Wang(王成会), and Runyang Mo(莫润阳). Chin. Phys. B, 2022, 31(3): 034302.
[12]	Pattern transition and regulation in a subthalamopallidal network under electromagnetic effect Zilu Cao(曹子露), Lin Du(都琳), Honghui Zhang(张红慧), Yuzhi Zhao(赵玉枝), Zhuan Shen(申转), and Zichen Deng(邓子辰). Chin. Phys. B, 2022, 31(11): 118701.
[13]	Raman lasing and other nonlinear effects based on ultrahigh-Q CaF₂ optical resonator Tong Xing(邢彤), Enbo Xing(邢恩博), Tao Jia(贾涛), Jianglong Li(李江龙), Jiamin Rong(戎佳敏), Yanru Zhou(周彦汝), Wenyao Liu(刘文耀), Jun Tang(唐军), and Jun Liu(刘俊). Chin. Phys. B, 2022, 31(10): 104204.
[14]	Periodic and chaotic oscillations in mutual-coupled mid-infrared quantum cascade lasers Zhi-Wei Jia(贾志伟), Li Li(李丽), Yi-Yan Guo(郭一岩), An-Bang Wang(王安帮), Hong Han(韩红), Jin-Chuan Zhang(张锦川), Pu Li(李璞), Shen-Qiang Zhai(翟慎强), and Feng-Qi Liu(刘峰奇). Chin. Phys. B, 2022, 31(10): 100505.
[15]	Impact of symmetric gate-recess length on the DC and RF characteristics of InP HEMTs Ruize Feng(封瑞泽), Bo Wang(王博), Shurui Cao(曹书睿), Tong Liu(刘桐), Yongbo Su(苏永波), Wuchang Ding(丁武昌), Peng Ding(丁芃), and Zhi Jin(金智). Chin. Phys. B, 2022, 31(1): 018505.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Oscillating Casimir force between two slabs in a Fermi sea

Cite this article:

Online attention