Entanglement Hamiltonian in the non-Hermitian SSH model
- URL: http://arxiv.org/abs/2402.04776v1
- Date: Wed, 7 Feb 2024 11:55:53 GMT
- Title: Entanglement Hamiltonian in the non-Hermitian SSH model
- Authors: Federico Rottoli and Michele Fossati and Pasquale Calabrese
- Abstract summary: Entanglement Hamiltonians provide most comprehensive characterisation of entanglement in extended quantum systems.
Key result in unitary quantum field theories is the Bisognano-Wichmann theorem, which establishes the locality of the entanglement Hamiltonian.
We study the entanglement Hamiltonian both in a gapped phase and at criticality.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Entanglement Hamiltonians provide the most comprehensive characterisation of
entanglement in extended quantum systems. A key result in unitary quantum field
theories is the Bisognano-Wichmann theorem, which establishes the locality of
the entanglement Hamiltonian. In this work, our focus is on the non-Hermitian
Su-Schrieffer-Heeger (SSH) chain. We study the entanglement Hamiltonian both in
a gapped phase and at criticality. In the gapped phase we find that the lattice
entanglement Hamiltonian is compatible with a lattice Bisognano-Wichmann
result, with an entanglement temperature linear in the lattice index. At the
critical point, we identify a new imaginary chemical potential term absent in
unitary models. This operator is responsible for the negative entanglement
entropy observed in the non-Hermitian SSH chain at criticality.
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