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Thermalization without eigenstate thermalization hypothesis after a quantum quench

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arxiv 1707.05921 v1 pith:XMGTQ7OU submitted 2017-07-19 cond-mat.stat-mech quant-ph

Thermalization without eigenstate thermalization hypothesis after a quantum quench

classification cond-mat.stat-mech quant-ph
keywords thermalizationeigenstatehypothesissystemfinitemodelquantumquench
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Nonequilibrium dynamics of a nonintegrable system without the eigenstate thermalization hypothesis is studied. It is shown that, in the thermodynamic limit, this model thermalizes after an arbitrary quantum quench at finite temperature, although it does not satisfy the eigenstate thermalization hypothesis. In contrast, when the system size is finite and the temperature is low enough, the system may not thermalize. In this case, the steady state is well described by the generalized Gibbs ensemble constructed by using highly nonlocal conserved quantities. We also show that this model exhibits prethermalization, in which the prethermalized state is characterized by nonthermal energy eigenstates.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Nature abhors a vacuum: A simple rigorous example of thermalization in an isolated macroscopic quantum system

    cond-mat.stat-mech 2023-10 unverdicted novelty 7.0

    Rigorous proof that random half-chain initial states in a low-density free-fermion model thermalize, with local particle counts matching equilibrium at long times with high probability.

  2. The $S=\frac{1}{2}$ XY and XYZ models on the two or higher dimensional hypercubic lattice do not possess nontrivial local conserved quantities

    cond-mat.stat-mech 2024-12 unverdicted novelty 6.0

    The S=1/2 XY and XYZ models on d≥2 hypercubic lattices possess no nontrivial local conserved quantities.