Critical Property of the Geometric Phase in the Dicke Model with the Dipole-dipole Interactions

J Mater Sci Technol ›› 2008, Vol. 24 ›› Issue (06): 960-962.

• Research Articles • Previous Articles

Critical Property of the Geometric Phase in the Dicke Model with the Dipole-dipole Interactions

Yunfeng WU, Ping ZHANG, Jianzhou ZHENG

College of science, Dalian Nationalities University, Dalian 116600, China

Received:2008-06-30 Revised:2008-07-28 Online:2008-11-28 Published:2009-10-10
Contact: Yunfeng WU

Abstract

Abstract: We obtained the ground-state energy level and associated geometric phase in the Dicke model with the dipole-dipole interactions analytically by the Holstein-Primakoff transformation and the boson expansion approach in the thermodynamic limit. The nonadiabatic geometric phase induced by the photon field was derived with the time-dependent unitary transformation. It is shown that dipole-dipole interactions have a deep influence on scaled behavior of the geometric phase at the critical point.

Key words: Geometric phases, Quantum phase transition, Dipole-dipole interactions

Yunfeng WU, Ping ZHANG, Jianzhou ZHENG. Critical Property of the Geometric Phase in the Dicke Model with the Dipole-dipole Interactions[J]. J Mater Sci Technol, 2008, 24(06): 960-962.

References

[1]M.V.Berry:Proc.R.Soc.London A,1984,392,45.
[2]A.Shapere and F.Wilczek:Geometric Phases in Physics,World Scientific,Singapore,1989.
[3]A.Ekert,M.Ericsson,P.Hayden,H.Inamori, J.A.Jones,D.K.L.Oi,and V.Vedral:J.Mod.Opt., 2000,47,2501.
[4]G.Falci,R.Fazio,G.M.Palma,J.Siewert and V.Vedral: Nature,2000,407,355.
[5]J.Pachos,P.Zanardi and M.Razetti:Phys.Rev.A, 2000,61,010305.
[6]S.L.Zhu and Z.D.Wang:Phys.Rev.Lett.,2002,89, 097902.
[7]S.L.Zhu and Z.D.Wang:Phys.Rev.A,2003,67, 022319.
[8]S.L.Zhu and Z.D.Wang:Phys.Rev.Lett.,2003,91, 187902.
[9]S.L.Zhu,Z.D.Wang and P.Zanardi:Phys.Rev.Lett., 2005,94,100502.
[10]A.C.M.Carollo and J.K.Pachos:Phys.Rey.Lett., 2005,95,157203.
[11]S.L.Zhu:Phys.Rev.Lett.,2006,96,077206.
[12]F.Plastina,G.Liberti and A.Carollo:Europhys.Lett., 2006,76 182.
[13]H.T.Cui,K.Li and X.X.Yi:Phys.Lett.A,2006,360 243.
[14]G.Chen,J.Li and J.Q.Liang:Phys.Rev.A,2006,74, 054101.
[15]X.X.Yi,W.Wang:Phys.Rev.A,2007,75,032103.
[16]S.Sachdev:Quantum Phase Transition,Cambridge University Press,Cambridge,1999.
[17]C.N.Yang and T.D.Lee:Phys.Rev.,1952,87,410.
[18]I.Fuentes-Guridi,A.Carollo,S.Bose and V.Vedral: Phys.Rev.Lett.,2002,89,220404.
[19]A.Carollo,I.Fuentes-Guridi,M.Pranea Santos and V.Vedral.Phys.Rev.A.,2003,67,063804.
[20]A.Carollo,I.Fuentes-Guridi,M.F.Santos and V.Vedral.Phys.Rev.Lett.,2004,92,020402.
[21]R.H.Dicke:Phys.Rev.,1954,93,99.
[22]M.Gross and S.Haroche:Phys.Rep.,1982,93,301.
[23]X.X.Yi and E.Sjoqvist:Phys.Rev.A,2004,70, 042104.
[24]M.M.He,G.Chen and J.Q.Liang:Eur.Phys.J.D, 2007,44,581.
[25]G.Chen,D.Zhao and Z.Chen:J.Phys.B.,2006,39 3315.
[26]T.Holstein and H.Primakoff:Phys.Rev.,1949,58, 1098.
[27]A.Klein and E.R.Marshalek:Rev.Mod.Phys.,1991, 63,375.
[28]S.V.Lawande,B.N.Jagatap and R.R.Puri:J.Phys. B.,1985 18 1711.
[29]C.Emary and T.Brandes:Phys.Rev.E,2003 67, 066203.

Critical Property of the Geometric Phase in the Dicke Model with the Dipole-dipole Interactions

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 0

Recommended Articles

Metrics

Comments