Non-classical energy state and quantum tunnling coherence dissipation for the two-state system with the spin coupled to the lattice phonon

Luo Zhi-Hua

doi:10.7498/aps.62.207201

Abstract

Including the spin-two-phonon interaction, for the two-state tunneling system with the spin coupled to the lattice phonon (i.e., spin-lattice phonon coupling model) at a finite temperature, the non-classical energy state and the quantum coherence dissipation are studied by the expansion approach of the correlated squeezed-coherent state of phonon. To restrain the quantum coherence loss caused by the Debye-Waller’s coherent scattering of the particle spin by the coherent phonons, the non-classical correlation effects are used in our research with the special consideration of the spin-two-phonon interaction, i.e., 1) the particle spin-displaced phonon state correlation; 2) the process coherence between the one-phonon coherent state and the phonon squeezed state which originates from the squeezed-coherent state of phonon; 3) the renormalization of the phonon displacement. We find the new phenomena that the phonon squeezed state is enhanced significantly due to the particle spin-two phonon interaction, in particular, at the same time the effects of the squeezed coherent state and the representation correlation will be essentially increased. Therefore, the striking decline in the quantum tunneling (Δ0σx) and the serious quantum coherence loss by the Debye-Waller coherent scattering are restricted more noticeably, as a result, the energy of the non-classical state for the two-level system with spin coupled to the lattice phonon is much lower.

Keywords:

Authors and contacts

Luo Zhi-Hua

1.
Department of Physics, Guangdong University of Education, Guangzhou 510303, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 10574163).

References

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Cited By

[1]	Leggett A J, Chakravarty A T, Dorsey A T 1987 Rev. Mod. Phys. 59 1
[2]	Weiss U 1993 Quantum Dissipative Systems (Singapore: World Scientipic)
[3]	Schleich W P 2001 Quantum Optics in Phase Space (Belin: WILEY-VCH Verlag Belin GmbH) p532
[4]	Orszag M 2000 Quantum Qptics (Belin Heidelbeg: Springer-Verlag) p106
[5]	Mahan G D 1981 Many-Particle Physics (New York: Plenum Press) pp524-528
[6]	Yuan X L, Shi Y, Yang H G, Pu H M, Wu J, Zhao B, Zhang R, Zheng Y K 2000 Acta Phys. Sin. 49 2037 (in Chinese) [袁晓丽, 施毅, 杨红官, 卜惠明, 吴军, 赵波, 张荣, 郑有科 2000 49 2037]
[7]	Wang T H, Li H W, Zhou J M 2001 Chin. Phys. 10 844
[8]	Liu M, Wang Z O, He Y L, Jiang X L 1998 Acta Phys. Sin. 47 699 (in Chinese) [刘明, 王子欧, 何宇亮, 江兴流 1998 47 699]
[9]	Zheng H 2004 J. Eur. Phys. B 38 559
[10]	Wu Z J, Zhu K D, Yuan X Z, Zheng H 2005 Acta Phys. Sin. 54 3346 (in Chinese) [吴卓杰, 朱卡的, 袁晓忠, 郑杭 2005 54 3346]
[11]	Hartman U, Wilhelm F K 2004 Phys. Rev. B 69 161309
[12]	Brandes T, Kramer B 1999 Phys. Rev. Lett. 83 3021
[13]	Aguado R, Brandes T 2004 Phys. Rev. Lett. 92 206601
[14]	Brandes T, Aguado R, Platero G 2004 Phys. Rev. B 69 205326
[15]	Chen H, Zhang Y M 1985 Phys. Rev. B 32 4410
[16]	Sassetti M, Weiss U 1990 Phys, Rev. Lett. 65 2262
[17]	Sassetti M, Weiss U 1990 Phys, Rev. B 41 5383
[18]	Chen H, Zhang Y M, Wu X 1989 Phys. Rev. B 39 546
[19]	Shi Y L, Chen H, Wu X 1993 Acta Phys. Sin. 42 1162 (in Chinese) [石云龙, 陈鸿, 吴翔 1993 42 1162]
[20]	Lo C F, Sollie R 1991 Phys. Rev. B 44 5013
[21]	Chakravarty S, Rudnick J 1995 Phys. Rev. Lett. 75 501
[22]	Wurger A 1997 Phys. Rev. Lett. 78 1759
[23]	Volker K 1998 Phys. Rev. B 58 1862
[24]	Costi T A, Kieffer C 1996 Phys. Rev. Lett. 76 1683
[25]	Costi T A 1998 Phys. Rev. Lett. 80 1038
[26]	Egger R, Mak C H 1994 Phys. Rev. B 50 15210
[27]	Stoskburger J T, Mak C H 1998 Phys. Rev. Lett. 80 2657
[28]	Silbey R, Harris R A 1984 J. Chem Phys. 80 2615
[29]	Hartmann L, Goychak I, Grifonim, Hänggi P 2000 Phys. Rev. E 61 4687
[30]	Lehle H, Ankerhold J 2004 J. Chem. Phys. 120 1436
[31]	Zhang M, Zhang S, Pollak E 2004 J. Chem. Phys. 120 9630
[32]	Stock G, Thoss M 2005 Adv. Chem. Phys. 131 243
[33]	Marten-Fierro E, Pollak E 2007 J. Chem. Phys. 126 164108
[34]	Mhlbacher L, Egger R 2003 J. Chem. Phys. 118 179
[35]	Wang H, Thoss M, Miller W 2001 J. Chem. Phys. 115 2979
[36]	Bulla R, Tong N G, Vojta M 2003 Phys. Rev. Lett. 91 170601
[37]	Anders F B, Schiller A 2006 Phys. Rev. B 74 245113
[38]	Thoss M, Wang H 2006 Chem. Phys. 322 210
[39]	Craig I R, Wang H, Thoss M 2007 J. Chem. Phys. 127 144503
[40]	Wang H, Thoss M 2008 New J. Phys. 10 115005
[41]	Larson J 2007 Phys. Scr. 76 146
[42]	Larson J, Moya-Cessa H 2008 Phys. Scr. 77 065704
[43]	Irish E K 2007 Phys. Rev. Lett. 99 173601
[44]	Liu T, Wang K L, Feng M 2007 J. Phys. B 40 1967
[45]	Zheng H, Zhu S Y, Zubairy M S 2008 Phys. Rev. Lett. 101 200404
[46]	Liu T, Wang K L, Feng M 2009 EPL 86 54003
[47]	Akhiezer A I, Bargakhter V G, Peletminskii S V 1968 Spin Wave (North-Halland: Amsterdam)
[48]	Mandel L, Wolf E 1995 Optical Coherence and Quantum Optics (Cambridge: Cambridge University Press) p1042-1047
[49]	Majernikava E, Koval J 1998 Physica 37 23

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