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Início
Agenda
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- 13 de fevereiro de 2019
16h30
Sala
F-210 -
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John
Schliemann
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Department of
Physics - Universität Regensburg – Germany
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Entanglement
Thermodynamics
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We investigate 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.
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