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SUMMARY:Entanglement Hamiltonian after a local quench
DTSTART:20260417T120000Z
DTEND:20260417T130000Z
DTSTAMP:20260415T113000Z
UID:indico-event-1776@indico.wigner.hu
DESCRIPTION:Speakers: Riccarda Bonsignori (BME Department of Theoretical P
 hysics)\n\nUnderstanding the structure of entanglement in extended quantum
  systems is a fundamental problem in theoretical physics. In this framewor
 k\, a central object is the so-called entanglement (or modular) Hamiltonia
 n (EH)\, defined as the logarithm of the reduced density matrix\, that enc
 odes the full structure of bipartite entanglement. In general the EH  is 
 very hard to compute and is not even expected to be a local operator.  Ho
 wever\, in relativistic quantum field theory the locality of the modular H
 amiltonian for half-space bipartitions is ensured by the Bisognano–Wichm
 ann theorem\, which expresses it as an integral of the energy density with
  a linear spatial weight. In the presence of conformal symmetry\, this res
 ult can be extended to other geometries and to some non-equilibrium settin
 gs. Since the Bisognano–Wichmann theorem is formulated within relativist
 ic quantum field theory\, a natural question concerns its applicability to
  lattice many-body systems whose low-energy properties are described by a 
 conformal field theory\, but which explicitly break Lorentz invariance. Se
 veral results addressing this question exist in equilibrium situations\, w
 hile a lattice realisation of the time-dependent EH in out-of-equilibrium 
 dynamics is still missing.In this talk\, I will present the study of the d
 ynamics of the EH in a system of one-dimensional free fermions\, following
  a local joining quench of two initially disconnected half-chains in their
  ground states. Applying techniques of conformal field theory\, a local ex
 pression of the EH is derived\, where the left- and right-moving component
 s of the energy density are associated with different weight functions.The
  results are then compared to numerical calculations for the hopping chain
 \, which requires to consider a proper continuum limit of the lattice EH\,
  obtaining a good agreement with the field-theory prediction.\nBased on: R
 . Bonsignori and V. Eisler\, J. High Energ. Phys. 2026\, 232 (2026).\n\nht
 tps://indico.wigner.hu/event/1776/
URL:https://indico.wigner.hu/event/1776/
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