中国物理B ›› 2012, Vol. 21 ›› Issue (1): 10501-010501.doi: 10.1088/1674-1056/21/1/010501

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Oscillating Casimir force between two slabs in a Fermi sea

陈礼炜1, 苏国珍1, 陈金灿1, Andresen Bjarne2   

  1. (1)Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, China; (2)Niels Bohr Institute, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark
  • 收稿日期:2011-06-28 修回日期:2011-08-16 出版日期:2012-01-15 发布日期:2012-01-20
  • 基金资助:
    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).

Oscillating Casimir force between two slabs in a Fermi sea

Chen Li-Wei(陈礼炜)a), Su Guo-Zhen(苏国珍)a)†, Chen Jin-Can(陈金灿)a), and Andresen Bjarneb)   

  1. a Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, China; b Niels Bohr Institute, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark
  • Received:2011-06-28 Revised:2011-08-16 Online:2012-01-15 Published:2012-01-20
  • Supported by:
    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).

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摘要： 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 < Tc, where Tc is the critical temperature of the Bose-Einstein condensation.

关键词: Casimir effect, Fermi gas, parallel slab, oscillation

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 < Tc, where Tc is the critical temperature of the Bose-Einstein condensation.

Key words: Casimir effect, Fermi gas, parallel slab, oscillation

中图分类号:  (Quantum statistical mechanics)

  • 05.30.-d
03.75.Ss (Degenerate Fermi gases) 05.30.Fk (Fermion systems and electron gas)