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SUMMARY:Entanglement Signatures of Random Quantum Circuits
DTSTART;VALUE=DATE-TIME:20201029T113000Z
DTEND;VALUE=DATE-TIME:20201029T115000Z
DTSTAMP;VALUE=DATE-TIME:20220519T122800Z
UID:indico-contribution-6396@indico.nikhef.nl
DESCRIPTION:Speakers: Beatriz Dias\n\nQuantum systems can be chaotic or no
t\, in which case they are called integrable. The difference between these
kinds of systems can be seen in the behaviour they exhibit after driven f
ar from equilibrium. We use random quantum circuits to model the dynamics
of chaotic and free fermion systems and to compute some signatures of thei
r chaotic (integrable) nature. We focus on the entanglement entropy and th
e entanglement spectrum. For chaotic systems\, the entanglement entropy sc
ales with the Page value while for the free fermions it scales with a valu
e lower than this. The entanglement spectrum also distinguishes between th
e two: it follows a Wigner-Dyson distribution in the chaotic case\, and a
Poisson like distribution for the fermionic system. At last\, we obtain an
alytical and numerical results for the OTOC in the free fermion case: the
OTOC diffuses in time\, a behaviour which contradicts the ballistic behavi
our typical of chaotic systems.\n\nhttps://indico.nikhef.nl/event/2720/con
tributions/6396/
LOCATION:Zoom Link: https://videoconf-colibri.zoom.us/j/81437260131?pwd=d
2V4RExtV05sazg5dnNhYUJORGVnUT09 (Web-based event - Lisbon - Porto - Braga
)
RELATED-TO:indico-event-2720@indico.nikhef.nl
URL:https://indico.nikhef.nl/event/2720/contributions/6396/
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