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SUMMARY:Universal Properties of Non-Markovian Dissipative Quantum Systems
DTSTART:20241203T140000Z
DTEND:20241203T160000Z
DTSTAMP:20260810T182549Z
UID:bef126f8-c663-4786-90a2-890676e80dc1
SEQUENCE:2
CREATED:20241202T111720Z
DESCRIPTION:In this work\, we study the spectral\, steady-state\, and tran
 sport properties of a generic non-Markovian quantum system of free fermion
 s. We consider a setup connected to two reservoirs atthe same temperature 
 and with symmetric chemical potentials. The system’s Hamiltonian an
 d its coupling to each reservoir are described by random matrices from the
  Gaussian unitary ensemble and the Laguerre unitary ensemble\, respectivel
 y. By analyzing the Liouvillian spectrum\, we observe that it is similar t
 o the Markovian counterpart and remains unaffected by the characteristics 
 of the environment. We compute the evolution of the decoherence rates and 
 of the non-Markovian measure $f_{nM}$\, verifying that they approach a sta
 tionary regime. Further\, we examine the Markovian limits and explore the 
 distribution of decoherence rates across different limiting cases. For the
  remaining parameter space\, we focus on particular regions where we are a
 ble to make analytical or empirical statements. Lastly\, we investigate co
 nductance fluctuations\, presenting novel numerical results for the depend
 ence of conductance variance on parameters $m$\, the decoherence channel d
 ensity\, and $g$\, the environment coupling. This deviates from the expect
 ed universal conductance fluctuation value for random matrices.
LAST-MODIFIED:20241202T114124Z
LOCATION:Sala P3 Pavilhão de Matemática\, Piso 1/Online
URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/universal-properties-of-no
 n-markovian-dissipative-quantum-systems/
X-ALT-DESC;FMTTYPE=text/html:<p data-block-key="yqmut">In this work\, we s
 tudy the spectral\, steady-state\, and transport properties of a generic n
 on-</p><p data-block-key="3r88v">Markovian quantum system of free fermions
 . We consider a setup connected to two reservoirs at</p><p data-block-key=
 "4ln2m">the same temperature and with symmetric chemical potentials. The s
 ystem’s Hamiltonian and its coupling to each reservoir are describe
 d by random matrices from the Gaussian unitary ensemble and the Laguerre u
 nitary ensemble\, respectively.<br/><br/> By analyzing the Liouvillian spe
 ctrum\, we observe that it is similar to the Markovian counterpart and rem
 ains unaffected by the characteristics of the environment. We compute the 
 evolution of the decoherence rates and of the non-Markovian measure $f_{nM
 }$\, verifying that they approach a stationary regime.<br/><br/> Further\,
  we examine the Markovian limits and explore the distribution of decoheren
 ce rates across different limiting cases. For the remaining parameter spac
 e\, we focus on particular regions where we are able to make analytical or
  empirical statements.<br/><br/> Lastly\, we investigate conductance fluct
 uations\, presenting novel numerical results for the dependence of conduct
 ance variance on parameters $m$\, the decoherence channel density\, and $g
 $\, the environment coupling. This deviates from the expected universal co
 nductance fluctuation value for random matrices.</p>
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