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Relaxation dynamics in the gapped XXZ spin-1/2 chain

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arxiv 1002.3988 v1 pith:C62SG52F submitted 2010-02-21 cond-mat.str-el cond-mat.stat-mech

Relaxation dynamics in the gapped XXZ spin-1/2 chain

classification cond-mat.str-el cond-mat.stat-mech
keywords dynamicsgappedsystemchaindomaininfinitespin-1state
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the dynamics of a quench-prepared domain wall state released into a system whose unitary time evolution is dictated by the Hamiltonian of the Heisenberg spin-1/2 gapped antiferromagnetic chain. Using exact wavefunctions and their overlaps with the domain wall state allows us to describe the release dynamics to high accuracy, up to the long-time limit, for finite as well as infinite systems. The results for the infinite system allow us to rigorously prove that the system in the gapped regime ($\Delta >1$) cannot thermalize in the strict sense.

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    Lee-Yang zeros in one complex gate parameter of the Loschmidt amplitude condense on curves that reorganize abruptly to diagnose dynamical phase transitions in finite quantum circuits via spectral competition.