"Light-cone" dynamics after quantum quenches in spin chains.

Signal propagation in the nonequilibrium evolution after quantum quenches has recently attracted much experimental and theoretical interest. A key question arising in this context is what principles, and which of the properties of the quench, determine the characteristic propagation velocity. Here w...

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Κύριοι συγγραφείς: Bonnes, L, Essler, F, Läuchli, A
Μορφή: Journal article
Γλώσσα:English
Έκδοση: American Physical Society 2014
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author Bonnes, L
Essler, F
Läuchli, A
author_facet Bonnes, L
Essler, F
Läuchli, A
author_sort Bonnes, L
collection OXFORD
description Signal propagation in the nonequilibrium evolution after quantum quenches has recently attracted much experimental and theoretical interest. A key question arising in this context is what principles, and which of the properties of the quench, determine the characteristic propagation velocity. Here we investigate such issues for a class of quench protocols in one of the central paradigms of interacting many-particle quantum systems, the spin-1/2 Heisenberg XXZ chain. We consider quenches from a variety of initial thermal density matrices to the same final Hamiltonian using matrix product state methods. The spreading velocities are observed to vary substantially with the initial density matrix. However, we achieve a striking data collapse when the spreading velocity is considered to be a function of the excess energy. Using the fact that the XXZ chain is integrable, we present an explanation of the observed velocities in terms of "excitations" in an appropriately defined generalized Gibbs ensemble.
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spelling oxford-uuid:045496e8-9be8-432b-99bc-46a53f742a8b2022-03-26T08:51:11Z"Light-cone" dynamics after quantum quenches in spin chains.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:045496e8-9be8-432b-99bc-46a53f742a8bEnglishSymplectic Elements at OxfordAmerican Physical Society2014Bonnes, LEssler, FLäuchli, ASignal propagation in the nonequilibrium evolution after quantum quenches has recently attracted much experimental and theoretical interest. A key question arising in this context is what principles, and which of the properties of the quench, determine the characteristic propagation velocity. Here we investigate such issues for a class of quench protocols in one of the central paradigms of interacting many-particle quantum systems, the spin-1/2 Heisenberg XXZ chain. We consider quenches from a variety of initial thermal density matrices to the same final Hamiltonian using matrix product state methods. The spreading velocities are observed to vary substantially with the initial density matrix. However, we achieve a striking data collapse when the spreading velocity is considered to be a function of the excess energy. Using the fact that the XXZ chain is integrable, we present an explanation of the observed velocities in terms of "excitations" in an appropriately defined generalized Gibbs ensemble.
spellingShingle Bonnes, L
Essler, F
Läuchli, A
"Light-cone" dynamics after quantum quenches in spin chains.
title "Light-cone" dynamics after quantum quenches in spin chains.
title_full "Light-cone" dynamics after quantum quenches in spin chains.
title_fullStr "Light-cone" dynamics after quantum quenches in spin chains.
title_full_unstemmed "Light-cone" dynamics after quantum quenches in spin chains.
title_short "Light-cone" dynamics after quantum quenches in spin chains.
title_sort light cone dynamics after quantum quenches in spin chains
work_keys_str_mv AT bonnesl lightconedynamicsafterquantumquenchesinspinchains
AT esslerf lightconedynamicsafterquantumquenchesinspinchains
AT lauchlia lightconedynamicsafterquantumquenchesinspinchains