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Stationary entropies after a quench from excited states in the Ising chain

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arxiv 1406.5070 v1 pith:37O36CIP submitted 2014-06-19 cond-mat.stat-mech

Stationary entropies after a quench from excited states in the Ising chain

classification cond-mat.stat-mech
keywords entropieschaindiagonaldifferentexcitedfieldgeneralisedgibbs
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider the asymptotic state after a sudden quench of the magnetic field in the transverse field quantum Ising chain starting from excited states of the pre-quench Hamiltonian. We compute the thermodynamic entropies of the generalised Gibbs and the diagonal ensembles and we find that the generalised Gibbs entropy is always twice the diagonal one. We show that particular care should be taken in extracting the thermodynamic limit since different averages of equivalent microstates give different results for the entropies.

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