Schliemann, John (2014) Entanglement thermodynamics. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT: P09011. ISSN 1742-5468,
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We investigate further the relationship between the entanglement spectrum of a composite many-body system and the energy spectrum of a subsystem making use of concepts of canonical thermodynamics. In many important cases the entanglement Hamiltonian is, in the limit of strong coupling between subsystems, proportional to the energy Hamiltonian of the subsystem. The proportionality factor is an appropriately defined coupling parameter, suggesting to interpret the latter as a inverse temperature. We identify a condition on the entanglement Hamiltonian which rigorously guarantees this interpretation to hold and removes any ambiguity in the definition of the entanglement Hamiltonian regarding contributions proportional to the unit operator. Illustrations of our findings are provided by spin ladders of arbitrary spin length, and by bilayer quantum Hall systems at total filling factor nu = 2. Within mean-field description, the latter system realizes an entanglement spectrum of free fermions with just two levels of equal modulus where the analogies to canonical thermodynamics are particularly close.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUANTUM HALL SYSTEMS; PHASE-TRANSITIONS; STATES; rigorous results in statistical mechanics; spin chains; ladders and planes (theory); entanglement in extended quantum systems (theory) |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group John Schliemann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 27 Aug 2019 11:47 |
| Last Modified: | 27 Aug 2019 11:47 |
| URI: | https://pred.uni-regensburg.de/id/eprint/9626 |
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