Entanglement Hamiltonian in the non-Hermitian SSH model

التفاصيل البيبلوغرافية
العنوان: Entanglement Hamiltonian in the non-Hermitian SSH model
المؤلفون: Rottoli, Federico, Fossati, Michele, Calabrese, Pasquale
سنة النشر: 2024
المجموعة: Condensed Matter
High Energy Physics - Theory
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Condensed Matter - Statistical Mechanics, High Energy Physics - Theory
الوصف: 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.
Comment: 21 pages, 8 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2402.04776
رقم الأكسشن: edsarx.2402.04776
قاعدة البيانات: arXiv