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DTSTART:20240310T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240411T133000
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DTEND;TZID=America/Toronto:20240411T143000
URL:https://uwaterloo.ca/institute-for-quantum-computing/events/breaking-er
 godicity-quantum-scars-quantum-many-body-scars
LOCATION:QNC - Quantum Nano Centre 200 University Avenue West 0101 Waterloo
  ON N2L 3G1 Canada
SUMMARY:Breaking ergodicity: quantum scars\, quantum many-body scars and\nr
 egular eigenstates
CLASS:PUBLIC
DESCRIPTION:IQC SPECIAL COLLOQUIUM - CEREN B. DAG HARVARD UNIVERSITY\n\nQua
 ntum-Nano Centre\, 200 University Ave West\, Room QNC 0101 Waterloo\,\nON 
 CA N2L 3G1\n\nQuantum many-body scars (QMBS) consist of a few low-entropy\
 neigenstates in an otherwise chaotic many-body spectrum and can weakly\nbr
 eak ergodicity resulting in robust oscillatory dynamics. The notion\nof QM
 BS follows the original single-particle scars introduced within\nthe conte
 xt of quantum billiards\, where scarring manifests in the form\nof a quant
 um eigenstate concentrating around an underlying classical\nunstable perio
 dic orbit. A direct connection between these notions\nremains an outstandi
 ng question. Here\, I will first show that a spinor\ncondensate\, owing to
  its collective interactions\, is amenable to the\ndiagnostics of scars. W
 e characterize this system's rich dynamics\,\nspectrum\, and phase space\,
  consisting of both regular and chaotic\nstates. The former are low in ent
 ropy\, violate the Eigenstate\nThermalization Hypothesis\, and can be trac
 ed back to integrable\neffective Hamiltonians\, whereas most of the latter
  are scarred by the\nunderlying classical unstable periodic orbits\, while
  satisfying\nEigenstate Thermalization Hypothesis. I will exhibit evidence
  on how\nthe existing QMBS in the literature are akin to the regular state
 s\,\nrather than the quantum scars. Then I will move on to introduce a\nsp
 atially many-body model with a mean-field limit by decreasing the\nrange o
 f the interactions. Remarkably\, we find that unstable periodic\norbits af
 fect the early-time many-body dynamics giving rise to a new\ntype of QMBS.
  I will classify the QMBS in two main classes\, discuss\ntheir distinct pr
 operties\, and show how both QMBS states show up in\nour model in differen
 t parameter regimes. This talk aims (i) to\nclarify the connection of QMBS
  to quantum scars and regular\neigenstates\, and (ii) illustrate the funda
 mental principle of\nclassical-quantum correspondence in a many-body syste
 m\, and its\ncurrent limitations.
DTSTAMP:20260414T145842Z
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