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SUMMARY:Non-equilibrium dynamics of dissipative strongly-correlated quantu
 m matter
DTSTART:20260625T090000Z
DTEND:20260625T110000Z
DTSTAMP:20260806T021101Z
UID:eacbb50d-4ae6-4450-a728-95787533c24d
SEQUENCE:2
CREATED:20260623T102831Z
DESCRIPTION:Understanding relaxation in interacting quantum many-body syst
 ems is a central problem in modern physics. While isolated systems thermal
 ize through internal quantum chaos\, realistic systems are inevitably coup
 led to external environments\, giving rise to open-system dynamics where d
 issipation and memory effects can strongly modify relaxation processes. Th
 is thesis investigates relaxation in open quantum many-body systems in bot
 h Markovian and non-Markovian regimes.In the first part\, we formulate and
  test a Lindbladian analogue of the eigenstate thermalization hypothesis (
 ETH)\, characterizing the statistical structure of observables in the eige
 nbasis of generic Liouvillian superoperators. Using numerical simulations 
 of several chaotic models\, we demonstrate the universality and robustness
  of this Lindbladian ETH ansatz\, including in regimes where trace preserv
 ation is relaxed.In the second part\, we study a strongly correlated open 
 Sachdev-Ye-Kitaev (SYK) model coupled to pseudogapped non-Markovian baths.
  Using the Keldysh formalism and large-N methods\, we uncover a rich dynam
 ical phase diagram featuring bath-driven algebraic relaxation\, chaos-driv
 en exponential relaxation\, and intermediate crossover regimes. Additional
 ly\, we analyze the real-time thermalization dynamics of the model. By def
 ining an effective temperature and a quantitative distance to thermal equi
 librium\, we identify clear signatures of prethermalization and Floquet he
 ating saturation.Together\, these results provide a unified perspective on
  relaxation in open quantum many-body systems\, clarifying both the univer
 sal structure of Markovian relaxation modes and the profound impact of non
 -Markovian environments on strongly correlated quantum dynamics.
LAST-MODIFIED:20260623T102841Z
LOCATION:Sala P3 (Piso 1 do Pavilhão de Matemática) do IST/Online
URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/non-equilibrium-dynamics-o
 f-dissipative-strongly-correlated-quantum-matter/
X-ALT-DESC;FMTTYPE=text/html:<p data-block-key="belrx">Understanding relax
 ation in interacting quantum many-body systems is a central problem in mod
 ern physics. While isolated systems thermalize through internal quantum ch
 aos\, realistic systems are inevitably coupled to external environments\, 
 giving rise to open-system dynamics where dissipation and memory effects c
 an strongly modify relaxation processes. This thesis investigates relaxati
 on in open quantum many-body systems in both Markovian and non-Markovian r
 egimes.<br/><br/></p><p data-block-key="99hp1">In the first part\, we form
 ulate and test a Lindbladian analogue of the eigenstate thermalization hyp
 othesis (ETH)\, characterizing the statistical structure of observables in
  the eigenbasis of generic Liouvillian superoperators. Using numerical sim
 ulations of several chaotic models\, we demonstrate the universality and r
 obustness of this Lindbladian ETH ansatz\, including in regimes where trac
 e preservation is relaxed.<br/><br/></p><p data-block-key="ajrm1">In the s
 econd part\, we study a strongly correlated open Sachdev-Ye-Kitaev (SYK) m
 odel coupled to pseudogapped non-Markovian baths. Using the Keldysh formal
 ism and large-N methods\, we uncover a rich dynamical phase diagram featur
 ing bath-driven algebraic relaxation\, chaos-driven exponential relaxation
 \, and intermediate crossover regimes. Additionally\, we analyze the real-
 time thermalization dynamics of the model. By defining an effective temper
 ature and a quantitative distance to thermal equilibrium\, we identify cle
 ar signatures of prethermalization and Floquet heating saturation.<br/><br
 /></p><p data-block-key="1sv2e">Together\, these results provide a unified
  perspective on relaxation in open quantum many-body systems\, clarifying 
 both the universal structure of Markovian relaxation modes and the profoun
 d impact of non-Markovian environments on strongly correlated quantum dyna
 mics.</p>
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