Abstract.
We discuss the problem of a N two-level systems interacting with a single radiation mode in the strong-coupling regime. The thermodynamic properties of Dicke model are analyzed developing a perturbative expansion of the partition function in the high-temperature limit and we use this method to investigate the connections between the Dicke and the collective one-dimensional Ising model.
Similar content being viewed by others
References
R.H. Dicke, Phys. Rev. 93, 99 (1954)
K. Hepp, A. Lieb, Ann. Phys. 76, 360 (1973)
Y.K. Wang, F.T. Hioe, Phys. Rev. A 7, 831 (1973); F.T. Hioe, Phys. Rev. A 8, 1440 (1973)
G. Vertogen, A.S. De Vries, Phys. Lett. A 48, 451 (1974)
G.C. Duncan, Phys. Rev. A 9, 418 (1974)
R. Gilmore, C.M. Bowden, Phys. Rev. A 13, 1898 (1976)
M. Yamanoi, J. Phys. A: Math. Gen. 9, 573 (1976)
M. Orszag, J. Phys. A: Math. Gen. 10, L21 (1977); M. Orszag, J. Phys. A: Math. Gen. 10, 1995 (1977)
S. Sivasubramanian, A. Widom, Y. Shrivastava, Physica A 301, 241 (2001)
C. Emary, T. Brandes, Phys. Rev. Lett. 90, 044101 (2003)
C. Emary, T. Brandes, Phys. Rev. E 67, 66203 (2003)
X. Hou, B. Hu, Phys. Rev. A 69, 042110 (2004)
N. Lambert, C. Emary, T. Brandes, Phys. Rev. Lett. 92, 073602 (2004)
J. Reslen, L. Quiroga, N.F. Johnson, Europhys. Lett. 69, 8 (2005)
S. John, T. Quang, Phys. Rev. Lett. 76, 1320 (1996)
C.F. Lee, N.F. Johnson, Phys. Rev. Lett. 93, 83001 (2004)
M. Frasca, cond-mat/0411171
R.J. Glauber, Phys. Rev. 130, 2529 (1963); 131, 2766 (1963)
C.F. Lee, N.F. Johnson, quant-ph/0412069
G. Liberti, R.L. Zaffino, Phys. Rev. A 70, 033808 (2004)
K. Rzazewski, K. Wodkiewicz, W. Zakowicz, Phys. Rev. Lett. 35, 432 (1975); I. Bialynicki-Birula, K. Rzazewski, Phys. Rev. A 19, 301 (1979); K. Rzazewski, J. Phys. A: Math. Gen. 12, 2115 (1979); K. Gawedzki, K. Rzazewski, Phys. Rev. A 23, 2134 (1981)
M.D. Crisp, Phys. Rev. A 44, 563 (1991); M.D. Crisp, Phys. Rev. A 46, 4138 (1992)
H. De Raedt, B. De Raedt, Phys. Rev. A 28, 3575 (1983)
M. Vanhimbeeck, H. De Raedt, D. Schoemeker, Phys. Rev. A 36, 4612 (1987)
G. Polatsek, K.W. Becker, Phys. Rev. B 55, 16096 (1997)
R.M. Wilcox, J. Math. Phys. 8, 962 (1967)
P. de Vries, A. Lagendijk, H. De Raedt, Phys. Rev. B 35, 5425 (1987)
G. Arfken, Mathematical Methods for Physicists (Academic Press Inc., San Diego, 1985)
G. Parisi, Statistical Field Theory (Addison-Wesley P.C., Redwood, 1988)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liberti, G., Zaffino, R. Thermodynamic properties of the Dicke model in the strong-coupling regime. Eur. Phys. J. B 44, 535–541 (2005). https://doi.org/10.1140/epjb/e2005-00153-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjb/e2005-00153-0