Spin dynamics in finite cyclic XY model

Details Spin dynamics in finite cyclic XY model Spin dynamics in finite cyclic XY model

2011-09-19

arxiv.org/abs/1109.4127v1

Physics

Quantum Physics

Scientific paper

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.

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