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X-FROM-URL:https://eom.sdu.dk/events/ical/381bf471-b6ae-41ac-8caf-adb591c6
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X-WR-CALNAME:QM Research Seminar: ‘t Hooft anomaly in open quantum systems
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20260720T025817Z
DTSTART:20261028T030000
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DTSTAMP:20260720T025817Z
DTSTART:20260325T020000
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DESCRIPTION:[b]Speaker: Linhao Li[/b]\n(Ghent University)\n\n\n[b]Abstract
 :[/b]: In this talk\, I will introduce our recent work on how to characte
 rize the 't Hooft anomalies in open quantum systems [1]. Owing to nontriv
 ial couplings to the environment\, symmetries in such systems manifest as
  either strong or weak type. The total symmetry \Gamma can fit into the s
 ymmetry extension: 1→K→\Gamma→G→1 with K the strong symmetry and G the we
 ak symmetry. By representing their symmetry transformation through supero
 perators\, we incorporate them in a unified framework that enables a dire
 ct calculation of their anomalies. We find that anomalies of bosonic syst
 ems are classified by $H^{d+2}(\Gamma\,U(1))/H^{d+2}(G\,U(1))$ in d spati
 al dimensions.  We  also generally prove that anomaly must lead to nontri
 vial mixed-state quantum phases as long as the weak symmetry is imposed\,
  which can guarantee nontrivial steady states and long-time dynamics for 
 open quantum systems governed by Lindbladians.  Finally\, we explore the 
 generalization of the ``anomaly inflow" mechanism in open quantum systems
 .Reference:[1] Zijian Wang\, Linhao Li\, arXiv: 2403.14533
DTEND:20250210T150000Z
DTSTAMP:20260720T025817Z
DTSTART:20250210T140000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: ‘t Hooft anomaly in open quantum systems
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