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SUMMARY:Lucas Sá (Instituto Superior Técnico and CEFEMA)
DTSTART:20200617T100000Z
DTEND:20200617T110000Z
DTSTAMP:20260423T024737Z
UID:QM3/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QM3/11/">Ran
 dom matrix theory of dissipative quantum chaos</a>\nby Lucas Sá (Institut
 o Superior Técnico and CEFEMA) as part of Quantum Matter meets Maths (IST
 \, Lisbon)\n\n\nAbstract\nDescribing complex interacting quantum systems i
 s a daunting task. One very fruitful approach to this problem\, developed 
 for unitary dynamics\, is to represent the Hamiltonian of a system by a la
 rge random matrix. This eventually led to the development of the field of 
 quantum chaos. Arguably\, one of its most spectacular achievements was the
  identification of universal signatures of chaos in quantum systems\, char
 acterizing the correlations of their energy levels. In this talk\, we will
  focus on the recent application of (non-Hermitian) random matrix theory t
 o open quantum systems\, where dissipation and decoherence coexist with un
 itary dynamics. First\, we will discuss a class of stochastic Lindbladians
  with random Hamiltonian and independent random dissipation channels (jump
  operators)\, as a model for the generator of complicated nonunitary dynam
 ics. We will then explain what difficulties arise when combining dissipati
 on with quantum chaos\, and how to overcome them. In particular\, we discu
 ss a new non-Hermitian random matrix ensemble with eigenvalues on the toru
 s and how it connects to our recent proposal of using complex spacing rati
 os as a signature of dissipative quantum chaos.\n
LOCATION:https://researchseminars.org/talk/QM3/11/
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