Abstract
Quantum spin-chains subjected to external oscillating fields exhibit a wide range of dynamical behavior depending on the strength and frequency of the field. We investigate here the particular case of a Heisenberg model with a single spin flip; this maps onto a tight-binding model with an oscillating field, which, in turn, is equivalent to a driven-Harper model with sinusoidal time-driving. The Harper models can be mapped to image classical phasespaces. We find that peculiar structures called “shearless tori” feature very prominently in the classical phase space of the driven-Harper model. We show that quantum-spin wave packets initially located on a “shearless torus” can travel for a quite long time without broadening. The behavior has potential applications as it may provide a mechanism for non-dispersive transfer of quantum information.
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References
Amico L., Fazio R., Osterloh A. and Vedral V.: 2008. Rev. Mod. Phys., 80, 517
Boness T., Bose S. and Monteiro T.S.: 2006. Phys. Rev. Lett., 96, 187201
Bose S.: 2003. Phys. Rev. Lett., 91, 207901
Kudo K. and Monteiro T.S.: 2008. Phys. Rev. E, 77, 055203
Prosen T.: 1998. Phys. Rev. Lett., 80, 1808
Prosen T.: 1999. Phys. Rev. E, 60, 1658
Prosen T.: 2002. Phys. Rev. E, 65, 036208
Wootters W.K.: 1998. Phys. Rev. Lett., 80, 2245
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© 2009 Springer-Verlag Berlin Heidelberg
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Kudo, K., Monteiro, T.S. (2009). Spin Dynamics and Quantum Transport in Quantum Spin Chains Under an Oscillating Field. In: Casati, G., Matrasulov, D. (eds) Complex Phenomena in Nanoscale Systems. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3120-4_25
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DOI: https://doi.org/10.1007/978-90-481-3120-4_25
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-3118-1
Online ISBN: 978-90-481-3120-4
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