Entanglement Hamiltonians for Chiral Fermions with Zero Modes
| Autor: | Diana Vaman, Israel Klich, Gabriel Wong |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
High Energy Physics - Theory
Superconductivity Physics Zero mode Statistical Mechanics (cond-mat.stat-mech) 010308 nuclear & particles physics Entropy (statistical thermodynamics) High Energy Physics::Lattice FOS: Physical sciences General Physics and Astronomy Quantum Physics Quantum entanglement Squashed entanglement 01 natural sciences Topological entropy in physics MAJORANA symbols.namesake High Energy Physics - Theory (hep-th) Dirac fermion Quantum mechanics 0103 physical sciences symbols 010306 general physics Condensed Matter - Statistical Mechanics |
| Zdroj: | Physical Review Letters. 119 |
| ISSN: | 1079-7114 0031-9007 |
| DOI: | 10.1103/physrevlett.119.120401 |
| Popis: | In this Letter we study the effect of topological zero modes on entanglement Hamiltonians and entropy of free chiral fermion systems in (1+1)d. We show how Riemann-Hilbert solutions combined with finite rank perturbation theory allow us to obtain explicit expressions for entanglement Hamiltonians. We consider both chiral Majorana and Dirac fermions, and explore the effects of boundary conditions (periodic/anti-periodic for Majorana and generic for Dirac) and associated zero modes on entanglement. In the periodic sector, we derive explicitly the non-local contribution to the entanglement Hamiltonian due to the zero mode, and show an exact expression for the change in entanglement entropy due to the zero mode. Comment: typos fixed |
| Databáze: | OpenAIRE |
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