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UID:0-833@lptms.universite-paris-saclay.fr
DTSTART;TZID=Europe/Paris:20220705T110000
DTEND;TZID=Europe/Paris:20220705T120000
DTSTAMP:20220628T155924Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-thomas-barthel-duke/
SUMMARY:Séminaire du LPTMS : Thomas Barthel  (Duke University) - Petit amp
 hi\, bâtiment Pascal n° 530 - 5 Juil 22 11:00
DESCRIPTION:Crossover functions for entanglement entropy in many-body energ
 y eigenstates\nand universality\nThomas Barthel (Duke University)\n\nHybri
 d seminar\, speaker on zoom.\n\nhttps://cnrs.zoom.us/j/96907356383?pwd=OHl
 tMFV6N3JEY3BxS1VjNHlEUWdTQT09\nMeeting ID: 969 0735 6383\nPasscode: KJfeh7
 \n\n\n\nWe consider the entanglement entropies of energy eigenstates in qu
 antum many-body systems. For the typical models that allow for a field-the
 oretical description of the long-range physics\, we find that the entangle
 ment entropy of (almost) all eigenstates is described by a single crossove
 r function. The eigenstate thermalization hypothesis (ETH) implies that su
 ch crossover functions can be deduced from subsystem entropies of thermal 
 ensembles and that they assume universal scaling forms in quantum-critical
  regimes. They describe the full crossover from the groundstate entangleme
 nt scaling for low energies and small subsystem size (area or log-area law
 ) to the extensive volume-law regime for high energies or large subsystem 
 size. For critical 1d systems\, the scaling function follows from conforma
 l field theory (CFT). We use it to also deduce the scaling function for Fe
 rmi liquids in d&gt\;1 dimensions. These analytical results are complement
 ed by numerics for large non-interacting systems of fermions in d=1\,2\,3 
 and the harmonic lattice model (free scalar field theory) in d=1\,2. Lastl
 y\, we demonstrate ETH for entanglement entropies and the validity of the 
 scaling arguments in integrable and non-integrable interacting spin chains
 .\n\n[1] "Eigenstate entanglement: Crossover from the ground state to volu
 me laws”\, Phys. Rev. Lett. 127\, 040603 (2021)\n[2] "Scaling functions 
 for eigenstate entanglement crossovers in harmonic lattices"\, Phys. Rev. 
 A 104\, 022414 (2021)\n[3] "Eigenstate entanglement scaling for critical i
 nteracting spin chains”\, Quantum 6\, 642 (2022)
CATEGORIES:seminars
LOCATION:Petit amphi\, bâtiment Pascal n° 530\, rue André Rivière\, Ors
 ay\, 91405\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=rue André Rivière\, Orsay
 \, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=Petit amphi\, bâtiment Pasca
 l n° 530:geo:0,0
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