Oscillating Casimir force between two slabs in a Fermi sea

TY - JOUR

T1 - Oscillating Casimir force between two slabs in a Fermi sea

AU - Li-Wei, Chen

AU - Guo-Zhen, Su

AU - Jin-Can, Chen

AU - Andresen, Bjarne Bøgeskov

PY - 2012/1

Y1 - 2012/1

N2 - 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.

AB - 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.

U2 - 10.1088/1674-1056/21/1/010501

DO - 10.1088/1674-1056/21/1/010501

M3 - Journal article

SN - 1674-1056

VL - 21

JO - Chinese Physics B

JF - Chinese Physics B

IS - 1

M1 - 010501

ER -