Abstract.
We study the coherent quantum tunneling of magnetization, for example, in a biaxial molecular magnet with dissipation of the environment which results in the suppression of the tunneling and therefore the decoherence of superposition of macroscopic quantum states in terms of the general spin-boson model. The degree of entanglement between the magnet and the environment is evaluated explicitly with the help of reduced density matrix. We show an interesting relation that the degree of entanglement approaches maximum value when the coherent tunneling is suppressed completely.
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M. Enz, R. Schilling, J. Phys. C 19, 1765 (1986); E.M. Chudnovsky, L. Gunther, Phys. Rev. Lett. 60, 661 (1988); P.C.E. Stamp, E.M. Chudnovsky, B. Barbara, Int. J. Mod. Phys. B 6, 1355 (1992); D.D. Awschalom, J.F. Smyth, D.P. DiVincenzo, D. Loss, Phys. Rev. Lett. 68, 092 (1992); L. Thomas, F. Lionti, R. Ballou, D. Gatteschi, R. Sessoli, B. Barbara, Nature (London) 383, 145 (1996)
A. Garg, Phys. Rev. Lett. 71, 4249 (1993)
A. Garg, Phys. Rev. B 60, 6705 (1999); Y.-H. Jin, Y.-H. Nie, J.-Q. Liang, Z.-D. Chen, W.-F. Xie, F.-C. Pu, Phys. Rev. B 62, 3316 (2000); S.-P. Kou, J.-Q. Liang, Y.-B. Zhang, F.-C. Pu, Phys. Rev. B 59, 11792 (1999); Y.-H. Nie, Y.-H. Jin, J.-Q. Liang, F.-C. Pu, Phys. Rev. B 64, 134417 (2001); Y.-H. Nie, J.-Q. Liang, Y.-H. Jin, F.-C. Pu, Phys. Lett. A 282, 215 (2001)
M.N. Leuenberger, D. Loss, Nature 410, 789 (2001)
J.M. Hernandez, X.X. Zhang, F. Luis, J. Tejada, J.R. Friedman, M.P. Sarachik, R. Ziolo, Phys. Rev. B 55, 5858 (1997); A. Chiolero, D. Loss, Phys. Rev. Lett. 80, 169 (1998); W. Wernsdorfer, R. Sessoli, Science 284, 133 (1999)
J.R. Friedman, M.P. Sarachik, J. Tejada, R. Ziolo, Phys. Rev. Lett. 76, 3830 (1996); E.M. Chudnovsky, D.A. Garanin, Phys. Rev. Lett. 79, 4469 (1997); Phys. Rev. Lett. 87, 187203 (2001)
R. Caciuffo, G. Amoretti, A. Murani, R. Sessoli, A. Caneschi, D. Gatteschi, Phys. Rev. Lett. 81, 4744 (1998); C. Sangregorio, T. Ohm, C. Paulsen, R. Seesoli, D. Gatteschi, Phys. Rev. Lett. 78, 4645 (1997)
B. Zhou, R. Tao, S.-Q. Shen, J.-Q. Liang, Phys. Rev. A 66, 010301 (2002)
A.J. Bray, M.A. Moore, Phys. Rev. Lett. 49, 1545 (1982)
A.O. Caldeira, A.J. Leggett, Ann. Phys. (N.K) 149, 374 (1983)
A.J. Leggett, S. Chakravarty, A.T. Dorsey, M.P.A. Fisher, A. Garg, W. Zwerger, Rev. Mod. Phys. 59, 1 (1987)
A. Garg, G.H. Kim, Phys. Rev. Lett. 63, 2512 (1989); Phys. Rev. B 43, 712 (1991)
S.Y. Lee, H. Kim, D.K. Park, C.S. Park, J.K. Kim, Phys. Rev. B 60, 308 (1999)
B. Zhou, J.-Q. Liang, F.-C. Pu, Phys. Lett. B 496, 218 (2000)
M. Thorwart, P. Reimann, P. Jung, R.F. Fox, Phys. Lett. A 239, 233 (1998)
Z.-D. Chen, J.-Q. Liang, F.-C. Pu, Phys. Lett. A 300, 654 (2002)
M.N. Leuenberger, D. Loss, Phys. Rev. B 61, 1286 (2000); D.A. Garanin, E.M. Chudnovsky, R. Schilling, Phys. Rev. B 61, 12204 (2000)
H. Chen, L. Yu, Phys. Rev. B 45, 13753 (1992)
H. Chen, Y.-M. Zhang, X. Wu, Phys. Rev. B 39, 546 (1989); H. Chen, Y.-M. Zhang, X. Wu, Phys. Rev. B 40, 11326 (1989)
U. Weiss, Quantum dissipative systems (World Scientific, Singapore, 1993)
C.H. Bennett, D.P. DiVincenzo, J.A. Smolin, W.K. Wootters, Phys. Rev. A 54, 3824 (1996)
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Nie, YH., Liang, JJ., Shi, YL. et al. Decoherence and entanglement in coherent quantum tunneling of magnetization with dissipation. Eur. Phys. J. B 43, 125–129 (2005). https://doi.org/10.1140/epjb/e2005-00035-5
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DOI: https://doi.org/10.1140/epjb/e2005-00035-5