RT Journal Article
T1 Excited-state phase transition and onset of chaos in quantum optical models
A1 Pérez Fernández, P.
A1 Relaño Pérez, Armando
A1 Arias, J. M.
A1 Cejnar, P.
A1 Dukelsky, J.
A1 García Ramos, J. E.
AB We study the critical behavior of excited states and its relation to order and chaos in the Jaynes-Cummings and Dicke models of quantum optics. We show that both models exhibit a chain of excited-state quantum phase transitions demarcating the upper edge of the superradiant phase. For the Dicke model, the signatures of criticality in excited states are blurred by the onset of quantum chaos. We show that the emergence of quantum chaos is caused by the precursors of the excited-state quantum phase transition.
PB American Physical Society
SN 1539-3755
YR 2011
FD 2011-04-15
LK https://hdl.handle.net/20.500.14352/44411
UL https://hdl.handle.net/20.500.14352/44411
LA eng
NO [1] S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).[2] C. Emary and T. Brandes, Phys. Rev. Lett. 90, 044101 (2003); Phys. Rev. E 67, 066203 (2003); N. Lambert, C. Emary, and T. Brandes, Phys. Rev. Lett. 92, 073602 (2004).[3] L. Amico, R. Fazio, A. Osterloh, and V. Vedral, Rev. Mod. Phys. 80, 517 (2008).[4] E. A. Chagas and K. Furuya, Phys. Lett. A 372, 5564 (2008).[5] T. Deguchi and P. K. Ghosh, Phys. Rev. E 80, 021107 (2009); T. Deguchi, P. K. Ghosh, and K. Kudo, Phys. Rev. E 80, 026213 (2009).[6] Quantum Computers, Algorithms and Chaos, edited by G. Casati, D. L. Shepelyansky, P. Zoller, and G. Benenti, International School of Physics “Enrico Fermi,” Vol. 162 (IOS, Amsterdam, 2006).[7] P. Cejnar, M. Macek, S. Heinze, J. Jolie, and J. Dobes, J. Phys. A 39, L515 (2006).[8] M. A. Caprio, P. Cejnar, and F. Iachello, Ann. Phys. (NY) 323, 1106 (2008).[9] P. Cejnar and P. Stránský, Phys. Rev. E 78, 031130 (2008).[10] P. Ribeiro, J. Vidal, and R.Mosseri, Phys. Rev. Lett. 99, 050402 (2007); Phys. Rev. E 78, 021106 (2008).[11] A. Relaño, J. M. Arias, J. Dukelsky, J. E. García Ramos, and P. Pérez Fernández, Phys. Rev. A 78, 060102 (2008); P. Pérez Fernández, A. Relaño, J. M. Arias, J. Dukelsky, and J. E. García Ramos, Phys. Rev. A 80, 032111 (2009).[12] P. Pérez Fernández, P. Cejnar, J. M. Arias, J. Dukelsky, J. E. García Ramos, and A. Relaño, Phys. Rev. A 83, 033802 (2011).[13] R. H. Dicke, Phys. Rev. 93, 99 (1954).[14] E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963); M. Tavis and F. W. Cummings, Phys. Rev. 170, 379 (1968).[15] F. Illuminati, Nature Phys. 2, 803 (2006).[16] A. D. Greentree, C. Tahan, J. H. Cole, and L. C. L. Hollenberg, Nature Phys. 2, 856 (2006).[17] K. Baumann, C. Guerlin, F. Brennecke, and T. Esslinger, Nature (London) 464, 1301 (2010).[18] K. Hepp and E. H. Lieb, Ann. Phys. (NY) 76, 360 (1973).[19] D. Nagy, G. Kónya, G. Szirmai, and P. Domokos, Phys. Rev. Lett. 104, 130401 (2010).[20] B. M. Rodríguez Lara and Ray-Kuang Lee, J. Opt. Soc. Am. B 27, 2443 (2010).[21] H.-J. Stöckmann, Quantum Chaos: An Introduction (Cambridge University Press, Cambridge, 1999).
NO ©2011 American Physical Society. This work was supported by the Czech Science Foundation (Grant No. 202/09/0084), Czech Ministry of Education (Grant No. MSM 0021620859), Spanish Ministerio de Ciencia e Innovacion and European regional development fund (Grants No. FIS2009-07277, No. FIS2008-04189, No. FIS2009-11621-C02-01, and No. FPA2007-63074), CPAN-Ingenio (Grant No. CSPD-2007-00042-Ingenio 2010), and Junta de Andalucia (Grants No. FQM160, No. FQM318, No. P05FQM437, and No. P07-FQM-02962). The work of P.P.-F. is funded by a FPU grant of the Spanish Ministerio de Educación, and the work of A. R. is funded by the program CPAN Consolider-Ingenio 2010.
NO Czech Science Foundation
NO Czech Ministry of Education
NO Spanish Ministerio de Ciencia e Innovacion and European regional development
NO CPAN-Ingenio
NO Junta de Andalucía
NO Spanish Ministerio de Educación
DS Docta Complutense
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