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Out-of-equilibrium dynamics and thermalization of string order (Articolo in rivista)

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Out-of-equilibrium dynamics and thermalization of string order (Articolo in rivista) (literal)

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Mazza L.[ 1,2 ] ; Rossini D.[ 1,2 ]; Endres M.[ 3 ] ; Fazio R.[ 1,2 ] (2014)
Out-of-equilibrium dynamics and thermalization of string order
in Physical review. B, Condensed matter and materials physics
(literal)

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[ 1 ] Scuola Normale Super Pisa, NEST, I-56126 Pisa, Italy [ 2 ] CNR, Ist Nanosci, I-56126 Pisa, Italy [ 3 ] Max Planck Inst Quantum Opt, D-85748 Garching, Germany (literal)

Titolo

Abstract

We investigate the equilibration dynamics of string order in one-dimensional quantum systems. After initializing a spin-1 chain in the Haldane phase, the time evolution of nonlocal correlations following a sudden quench is studied by means of matrix-product-state-based algorithms. Thermalization occurs only for scales up to a horizon growing at a well defined speed, due to the finite maximal velocity at which string correlations can propagate, related to a Lieb-Robinson bound. The persistence of string ordering at finite times is nontrivially related to symmetries of the quenched Hamiltonian. A qualitatively similar behavior is found for the string order of the Mott insulating phase in the Bose-Hubbard chain. This paves the way towards an experimental testing of our results in present cold-atom setups. © 2014 American Physical Society. (literal)

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