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Início
Agenda
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- 02 de outubro de 2018 (Terça-feira)
16h30
Sala
18 (Cristalografia) -
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Mohammad
A. Rajabpour
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Universidade Federal
Fluminense
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Area-law
and universality in the statistics of the subsystem energy
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Consider a quantum chain in its ground state and
then take a subdomain of this system with
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natural truncated hamiltonian. Since the total
hamiltonian does not commute with the truncated
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hamiltonian the subsystem can be in one of its
eigenenergies with different probabilities. Since
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the global energy eigenstates are locally close to
diagonal in the local energy eigenbasis we argue
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that the Shannon (Renyi) entropy of these
probabilities follows an area-law for the gapped systems.
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When the system is at the critical point the
Shannon (Renyi) entropy follows a logarithmic behaviour
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with a universal coefficient. Our results show that
the Shannon(Renyi) entropy of the subsystem
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energies closely mimics the behaviour of the
entanglement entropy in quantum chains. We support
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the arguments by detailed calculations performed
on the transverse field XY-chain.
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