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arXiv · 1311.2615

Out-of-equilibrium dynamics and thermalization of string order

Leonardo Mazza·Davide Rossini·Manuel Endres·Rosario Fazio
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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 non-local 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 non-trivially 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.

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Leonardo Mazza, Davide Rossini, Manuel Endres, Rosario Fazio. 2013-11-11. Out-of-equilibrium dynamics and thermalization of string order. https://doi.org/10.1103/physrevb.90.020301

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