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The Dicke model displays quantum chaotic dynamic properties in the without-rotating-wave approximation. We explore the dynamic properties of the single-particle coherence in Dicke model by using the first-order temporal correlation function and numerical simulation. The results reveal that the first-order temporal correlation function decays very rapidly when the initial coherent state is centered in chaotic regions, but rather slowly when the initial coherent state is centered in regular regions. This indicates that the single-particle coherence is highly sensitive to initial states, and the classical chaos suppresses quantum coherence. The mean single particle coherence during the evolution is studied, and a better quantum-classical correspondence is obtained. Finally, the dynamics of single-particle coherence in the whole phase space is investigated, which reveals the chaotic and regular structures of the phase space more clearly.
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Keywords:
- Dicke model /
- without-rotating-wave approximation /
- quantum chaos /
- single-particle coherence
[1] ［1］Haake F 1991 Quantum Signature of Chaos (Berlin：Springer -Verlag)
[2] ［2］Heller E J 1984 Phys. Rev. Lett. 53 1515
[3] ［3］Schack R, D′Ariano G M, Caves C M 1994 Phys. Rev. E 50 972
[4] ［4］Lu P, Wang S J 2009 Acta Phys. Sin. 58 5955 (in Chinese) ［卢鹏、王顺金 2009 58 5955］
[5] ［5］Guo L, Liang X T 2009 Acta Phys. Sin. 58 50 (in Chinese) ［郭亮、梁先庭 2009 58 50］
[6] ［6］Wang X G, Ghose S, Sanders B C, Hu B 2004 Phys. Rev. E 70 016217
[7] ［7］Hou X W, Chen J H, Hu B 2005 Phys. Rev. A 71 034302
[8] ［8］Srensen A, Duan L M, Cirac J I, Zoller P 2001 Nature 409 63
[9] ［9］Srensen A 2002 Phys. Rev. A 65 043610
[10] ］Kitagawa M, Ueda M 1993 Phys. Rev. A 47 5138
[11] ］Song L J, Wang X G, Yan D, Zong Z G 2006 J. Phys. B 39 559
[12] ］Song L J, Yan D, Ma J, Wang X G 2009 Phys. Rev. E 79 046220
[13] ］Yan D, Song L J, Chen D W 2009 Acta Phys. Sin. 58 3679 (in Chinese) ［严冬、宋立军、陈殿伟 2009 58 3679］
[14] ］Emerson J, Weinstein Y S, Lloyd S, Cory D G 2002 Phys. Rev. Lett. 89 284102
[15] ］Weinstein Y S, Hellberg C S 2005 Phys. Rev. E 71 016209
[16] ］Liu J, Wang W G, Zhang C W, Niu Q, Li B W 2005 Phys. Rev. A 72 063623
[17] ］Liu J, Wang W G, Zhang C W, Niu Q, Li B W 2006 Phys. Lett. A 353 216
[18] ］Zhang D Y, Guo P, Gao F 2007 Acta Phys. Sin. 56 1906 (in Chinese) ［张登玉、郭萍、高峰 2007 56 1906］
[19] ］Jin G R, Law C K 2008 Phys. Rev. A 78 063620
[20] ］Dicke R H 1954 Phys. Rev. 93 99
[21] ］Furuya K, Nemes M C, Pellegrino G Q 1998 Phys. Rev. Lett. 80 5524
[22] ］Fang Y C, Yang Z A, Yang L Y 2008 Acta Phys. Sin. 57 661 (in Chinese) ［房永翠、杨志安、杨丽云 2008 57 661］
[23] ］Zhang W M, Feng D H, Gilmore R 1990 Rev. Mod. Phys. 62 867
[24] ］Shin Y, Sanner C, Jo G B, Pasquini T A, Saba M, Ketterle W, Pritchard D E, Vengalattore M, Prentiss M 2005 Phys. Rev. A 72 021604
[25] ］Chuu C S, Schreck F, Meyrath T P, Hanssen J L, Price G N, Raizen M G 2005 Phys. Rev. Lett. 95 260403
[26] ］Jo G B, Shin Y, Will S, Pasquini T A, Saba M, Ketterle W, Pritchard D E 2007 Phys. Rev. Lett. 98 030407
[27] ］Widera A, Trotzky S, Cheinet P, Folling S, Gerbier F, Bloch I 2008 Phys. Rev. Lett. 100 140401
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[1] ［1］Haake F 1991 Quantum Signature of Chaos (Berlin：Springer -Verlag)
[2] ［2］Heller E J 1984 Phys. Rev. Lett. 53 1515
[3] ［3］Schack R, D′Ariano G M, Caves C M 1994 Phys. Rev. E 50 972
[4] ［4］Lu P, Wang S J 2009 Acta Phys. Sin. 58 5955 (in Chinese) ［卢鹏、王顺金 2009 58 5955］
[5] ［5］Guo L, Liang X T 2009 Acta Phys. Sin. 58 50 (in Chinese) ［郭亮、梁先庭 2009 58 50］
[6] ［6］Wang X G, Ghose S, Sanders B C, Hu B 2004 Phys. Rev. E 70 016217
[7] ［7］Hou X W, Chen J H, Hu B 2005 Phys. Rev. A 71 034302
[8] ［8］Srensen A, Duan L M, Cirac J I, Zoller P 2001 Nature 409 63
[9] ［9］Srensen A 2002 Phys. Rev. A 65 043610
[10] ］Kitagawa M, Ueda M 1993 Phys. Rev. A 47 5138
[11] ］Song L J, Wang X G, Yan D, Zong Z G 2006 J. Phys. B 39 559
[12] ］Song L J, Yan D, Ma J, Wang X G 2009 Phys. Rev. E 79 046220
[13] ］Yan D, Song L J, Chen D W 2009 Acta Phys. Sin. 58 3679 (in Chinese) ［严冬、宋立军、陈殿伟 2009 58 3679］
[14] ］Emerson J, Weinstein Y S, Lloyd S, Cory D G 2002 Phys. Rev. Lett. 89 284102
[15] ］Weinstein Y S, Hellberg C S 2005 Phys. Rev. E 71 016209
[16] ］Liu J, Wang W G, Zhang C W, Niu Q, Li B W 2005 Phys. Rev. A 72 063623
[17] ］Liu J, Wang W G, Zhang C W, Niu Q, Li B W 2006 Phys. Lett. A 353 216
[18] ］Zhang D Y, Guo P, Gao F 2007 Acta Phys. Sin. 56 1906 (in Chinese) ［张登玉、郭萍、高峰 2007 56 1906］
[19] ］Jin G R, Law C K 2008 Phys. Rev. A 78 063620
[20] ］Dicke R H 1954 Phys. Rev. 93 99
[21] ］Furuya K, Nemes M C, Pellegrino G Q 1998 Phys. Rev. Lett. 80 5524
[22] ］Fang Y C, Yang Z A, Yang L Y 2008 Acta Phys. Sin. 57 661 (in Chinese) ［房永翠、杨志安、杨丽云 2008 57 661］
[23] ］Zhang W M, Feng D H, Gilmore R 1990 Rev. Mod. Phys. 62 867
[24] ］Shin Y, Sanner C, Jo G B, Pasquini T A, Saba M, Ketterle W, Pritchard D E, Vengalattore M, Prentiss M 2005 Phys. Rev. A 72 021604
[25] ］Chuu C S, Schreck F, Meyrath T P, Hanssen J L, Price G N, Raizen M G 2005 Phys. Rev. Lett. 95 260403
[26] ］Jo G B, Shin Y, Will S, Pasquini T A, Saba M, Ketterle W, Pritchard D E 2007 Phys. Rev. Lett. 98 030407
[27] ］Widera A, Trotzky S, Cheinet P, Folling S, Gerbier F, Bloch I 2008 Phys. Rev. Lett. 100 140401
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