Dispersion relation of excitation mode in spin-polarized Fermi gas

doi:10.1088/1674-1056/21/3/030309

Abstract We study the dispersion relation of the excitation mode in a spin-polarized Fermi gas. In the frame of the imaginary-time finite temperature field theory, the polarization tensor is calculated by taking the random phase approximation. The population imbalance effects on the dispersion relation of the excitation mode and the spin-spin correlation susceptibility are investigated. The numerical results in terms of the imbalance ratio indicate the polarization effects on the dispersion relation and susceptibility

χ

.

Keywords: dispersion relation polarized fermions polarization tensor

Received: 04 August 2011
Revised: 09 October 2011
Accepted manuscript online:

PACS:	03.75.Ss	(Degenerate Fermi gases)
	05.30.Fk	(Fermion systems and electron gas)
	67.85.Lm	(Degenerate Fermi gases)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10875050 and 11178001).

Corresponding Authors: Liu Ke,liuke@phy.ccnu.edu.cn
E-mail: liuke@phy.ccnu.edu.cn

Cite this article:

Liu Ke(刘可) and Chen Ji-Sheng(陈继胜) Dispersion relation of excitation mode in spin-polarized Fermi gas 2012 Chin. Phys. B 21 030309

[1]	Giorgini S, Pitaevskii L P and Stringari S 2008 Rev. Mod. Phys. 80 1215
[2]	Bloch I, Dalibard J and Zwerger W 2008 Rev. Mod. Phys. 80 885
[3]	Chin C, Grimm R, Julienne P and Tiesinga E 2010 Rev. Mod. Phys. 82 1225
[4]	Nozi`eres P and Schmitt-Rink S 1985 J. Low Temp. Phys. 59 195
[5]	Chin C, Bartenstein M, Altmeyer A, Riedl S, Jochim S, Denschlag J H and Grimm R 2004 Science 305 1128
[6]	Kinnunen J, Rodríguez M and Törmä P 2004 Science 305 1131
[7]	Heiselberg H 2001 Phys. Rev. A 63 043606
[8]	Ho T L 2004 Phys. Rev. Lett. 92 090402
[9]	Cao C, Elliott E, Joseph J, Wu H, Petricka J, Schäfer T and Thomas J E 2011 Science 331 58
[10]	Chen J S, Li J R, Wang Y P and Xia X J 2008 J. Stat. Mech. P12008
[11]	Partridge G B, Li W H, Kamar R I, Liao Y A and Hulet R G 2006 Science 311 503
[12]	Chen J S, Cheng C M, Li J R and Wang Y P 2007 Phys. Rev. A 76 033617
[13]	Chen J S 2007 Chin. Phy. Lett. 24 1825
[14]	Chen J S 2007 Commun. Theor. Phys. 48 99
[15]	Chen J S, Qin F and Wang Y P 2009 Science in China G 52 1324
[16]	Liu K and Chen J S 2011 Chin. Phys. B 20 020501
[17]	Fetter A L and Walecka J D 1971 Quantum Theory of Many-Particle Systems (New York: McGraw-Hill)
[18]	Wang Y P and Chen J S 2008 Chin. Phy. B 17 4401
[19]	Yu Z Q and Yin L 2010 Phys. Rev. A 80 013605
[20]	Hao Y J 2011 Chin. Phy. B 20 060307
[21]	Chevy F and Mora C 2010 Rep. Prog. Phys. 73 112401
[22]	Pilati S and Giorgini S 2008 Phys. Rev. Lett. 100 030401
[23]	Parish M M, Marchetti F M, Lamacraft A and Simons B D 2007 Nat. Phys. 3 124
[24]	Zwierlein M W, Schirotzek A, Schunck C H and Ketterle W 2006 Science 311 492
[25]	Pathria R K Statistical Mechanics 1996 (2nd Edn.) (Oxford: Butterworth-Heinemann)

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