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Entanglement entropy of excited states

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arxiv 0909.1999 v2 pith:UNIF3NN4 submitted 2009-09-10 cond-mat.stat-mech cond-mat.str-elhep-thquant-ph

Vincenzo Alba , Maurizio Fagotti , Pasquale Calabrese This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.str-elhep-thquant-ph
keywords statestatesbehaviorblockentanglemententropyexcitedproperties
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the entanglement entropy of a block of contiguous spins in excited states of spin chains. We consider the XY model in a transverse field and the XXZ Heisenberg spin-chain. For the latter, we developed a numerical application of algebraic Bethe Ansatz. We find two main classes of states with logarithmic and extensive behavior in the dimension of the block, characterized by the properties of excitations of the state. This behavior can be related to the locality properties of the Hamiltonian having a given state as ground state. We also provide several details of the finite size scaling.

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Cited by 3 Pith papers

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

  1. Weak ergodicity breaking with isolated integrable sectors

    cond-mat.stat-mech 2024-12 accept novelty 7.0 of 10

    Isolated integrable subspaces can be embedded non-trivially into chaotic spin chains; all examples are perturbations of Hilbert-space-fragmented models.

  2. Discrete power-law decay of subsystem distance after a quantum quench

    quant-ph 2026-07 conditional novelty 6.0 of 10

    For quenches in the transverse-field Ising chain, the Bures distance between the time-evolved subsystem state and its stationary generalized Gibbs ensemble decays as t^-λ, with λ taking only a few discrete values.

  3. The Eigenstate Thermalization Hypothesis in a Quantum Point Contact Geometry

    cond-mat.stat-mech 2025-01 conditional novelty 5.0 of 10

    For two free-fermion lattices connected by a few quantum point contacts, the entanglement entropy of typical excited eigenstates grows only linearly with subsystem size, not extensively.

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