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DTSTART:20180325T030000
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DTSTART:20181028T020000
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DTSTAMP:20260403T220436Z
UID:5af042c5d5741771662687@ist.ac.at
DTSTART:20180511T110000
DTEND:20180511T120000
DESCRIPTION:Speaker: Marcos Rigol\nhosted by Maksym Serbyn\nAbstract: The a
 verage entanglement entropy of subsystems of random pure states is (nearly
 ) maximal [1]. In this talk\, we discuss the average entanglement entropy 
 of subsystems of highly excited eigenstates of integrable and nonintegrabl
 e many-body lattice Hamiltonians. For translationally invariant quadratic 
 models we prove that\, when the subsystem size is not a vanishing fraction
  of the entire system\, the average eigenstate entanglement entropy depart
 s from that of random pure states. We also prove that typical eigenstates 
 of such Hamiltonians exhibit eigenstate thermalization for local observabl
 es [2]. For random pure states with a fixed particle number (away from hal
 f filling) and normally distributed real coefficients\, we prove that the 
 deviation from the maximal value grows with the square root of the system'
 s volume. The behavior of the entanglement entropy of highly excited eigen
 states of a particle number conserving quantum chaotic model is found to a
 gree with the analytical results for the random canonical states [3]. Refe
 rences: [1] D. N. Page\, Phys. Rev. Lett. 71\, 1291 (1993). [2] L. Vidmar\
 , L. Hackl\, E. Bianchi\, and M. Rigol\, Phys. Rev. Lett. 119\, 020601 (20
 17). [3] L. Vidmar and M. Rigol\, Phys. Rev. Lett. 119\, 220603 (2017).
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:sdanzing@ist.ac.at
SUMMARY:Marcos Rigol: Entanglement entropy in highly excited eigenstates of
  many-body lattice
URL:https://talks-calendar.ista.ac.at/events/1239
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