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UID:0-874@lptms.universite-paris-saclay.fr
DTSTART;TZID=Europe/Paris:20230502T110000
DTEND;TZID=Europe/Paris:20230502T120000
DTSTAMP:20230504T111658Z
URL:https://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lpt
 ms-ken-ichiro-imura-tokyo-university/
SUMMARY:Séminaire du LPTMS : Ken Ichiro Imura (University of Tokyo) - Sall
 e des séminaires du FAST et du LPTMS\, bâtiment Pascal n°530 - 2 Mai 23
  11:00
DESCRIPTION:Entanglement dynamics in a non-Hermitian quantum system\n  Ken 
 Ichiro Imura (University of Tokyo)\n\n\nHybrid: onsite seminar + zoom.\n\n
 https://cnrs.zoom.us/j/99158344817?pwd=UXJhNUpQZG45RXJqU29oNThrM0x2UT09\nM
 eeting ID: 991 5834 4817\nPasscode: 5pDCkx\n\n\nQuantum mechanics describe
 d by a non-Hermitian Hamiltonian has been of much interest recently. In re
 ality\, such a Hamiltonain is associated with an open quantum system. Here
 \, we will particularly focus on a specific type of non-Hermiticity\, repr
 esented by a non-reciprocal (asymmetric) hopping in a 1D tight-binding mod
 el: the so-called Hatano-Nelson model [1]. Effects of on-site disorder and
  inter-particle interaction is also taken into account. In the regime of w
 eak disorder\, the eigen wave functions are extended\, and corresponding e
 igen energies are complex under the periodic boundary. In the time evoluti
 on an initial wave packet with many eigenstates superposed tends to evolve
  into a single eigen state with a maximal imaginary part. This results in 
 a non-monotonic time evolution of the entanglement entropy in the regime o
 f intermediate disorder\; in the regime\, collapse of the superposition is
  not too fast but occurs in the time scale comparable to the growth of the
  entanglement entropy [2]. The effect of on-site disorder W is also non-mo
 notonic. With increasing W\, it first enhances the entanglement entropy th
 en suppresses it. After a long enough time in the quench dynamics\, the en
 tanglement entropy in the clean and non-interacting limit obeys a logarith
 mic scaling [3]\, reminiscent of the one known (in the Hermitian case) in 
 conformal field theory [4].\n\n[1] N. Hatano and D. R. Nelson\, Phys. Rev.
  Lett. 77\, 570 (1996).\n[2] T. Orito and K.-I. Imura\, Phys. Rev. B 105\,
  024303 (2022).\n[3] T. Orito and K.-I. Imura\, in preparation.\n[4] P. Ca
 labrese\, J. Cardy\, J. Phys. A: Math. Theor. 42 504005 (2009).\n\n
CATEGORIES:seminars
LOCATION:Salle des séminaires du FAST et du LPTMS\, bâtiment Pascal n°53
 0\, rue André Riviere\, Orsay\, 91405\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=rue André Riviere\, Orsay\
 , 91405\, France;X-APPLE-RADIUS=100;X-TITLE=Salle des séminaires du FAST 
 et du LPTMS\, bâtiment Pascal n°530:geo:0,0
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