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Spin dynamics in finite cyclic XY model | | Evgeniy Safonov
; Oleg Lychkovskiy
; | | Date: |
19 Sep 2011 | | Abstract: | Evolution of the z-component of a single spin in the finite cyclic XY spin
1/2 chain is studied. Initially one selected spin has an arbitrary
polarization, while other spins are completely unpolarized and uncorrelated.
Polarization of the selected spin as a function of time is proportional to the
autocorrelation function at infinite temperature. We derive tractable
approximations for the autocorrelation function which account for the winding
of wave packets produced by the initial perturbation around the circle. This
allows to give qualitative explanation and quantitative description to various
finite-size effects such as partial revivals and regular-to-chaotic transition. | | Source: | arXiv, 1109.4127 | | Services: | Forum | Review | PDF | Favorites | |
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