Return amplitude after a quantum quench in the XY chain
arXiv:1905.01272 · doi:10.1088/1742-5468/ab3413
Abstract
We determine an exact formula for the transition amplitude between any two arbitrary eigenstates of the local -magnetization operators in the quantum XY chain. We further use this formula to obtain an analytical expression for the return amplitude of fully polarized states and the Néel state on a ring of length . Then, we investigate finite-size effects in the return amplitude: in particular quasi-particle interference halfway along the ring, a phenomenon that has been dubbed traversal~\cite{FE2016}. We show that the traversal time and the features of the return amplitude at the traversal time depend on the initial state and on the parity of . Finally, we briefly discuss non-analyticities in time of the decay rates in the thermodynamic limit , which are known as dynamical phase transitions.
arXiv commentV3: 16 pages, 5 figures! to appear in JSTAT
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