Abstract
Decoherence in a system of two antiferromagnetically coupled spins that interact with a spin bath environment is studied. Systems are considered that range from the rotationally invariant to highly anisotropic spin models and have different topologies and values of parameters that are fixed or are allowed to fluctuate randomly. We explore the conditions under which the two-spin system clearly shows an evolution from the initial spin-up-spin-down state towards the maximally entangled singlet state. We demonstrate that frustration and, especially, glassiness of the spin environment strongly enhances the decoherence of the two-spin system.
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References
E. Joos, H. D. Zeh, C. Kiefer, D. Giulini, J. Kupsch, and I.-O. Stamatescu, Decoherence and the Appearance of a Classical World in Quantum Theory (Springer, New York, 1996).
W. H. Zurek, Rev. Mod. Phys. 75, 715 (2003).
J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton Univ. Press, Princeton, 1955; Nauka, Moscow, 1964).
R. P. Feynman and F. L. Vernon, Ann. Phys. (N.Y.) 24, 118 (1963).
A. J. Leggett, S. Chakravarty, A. T. Dorsey, et al., Rev. Mod. Phys. 59, 1 (1987).
J.-P. Paz and W. H. Zurek, Phys. Rev. Lett. 82, 5181 (1999).
N. V. Prokof’ev and P. C. E. Stamp, Rep. Prog. Phys. 63, 669 (2000).
V. V. Dobrovitski, H. A. De Raedt, M. I. Katsnelson, et al., Phys. Rev. Lett. 90, 210401 (2003).
J. Lages, V.V. Dobrovitski, M. I. Katsnelson, et al., Phys. Rev. E 72, 026225 (2005).
W. H. Zurek, Nature 412, 712 (2001).
V. V. Dobrovitski and H. A. De Raedt, Phys. Rev. E 67, 056702 (2003).
W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998).
R. V. Jensen and R. Shankar, Phys. Rev. Lett. 54, 1879 (1985).
K. Saito, S. Takasue, and S. Miyashita, Phys. Rev. Lett. 65, 1243 (1996).
K. Binder and A. P. Young, Rev. Mod. Phys. 58, 801 (1986).
M. Mezard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond (World Sci., Singapore, 1987).
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Yuan, S., Katsnelson, M.I. & De Raedt, H. Giant enhancement of quantum decoherence by frustrated environments. Jetp Lett. 84, 99–103 (2006). https://doi.org/10.1134/S0021364006140128
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DOI: https://doi.org/10.1134/S0021364006140128