BEGIN:VCALENDAR VERSION:2.0 PRODID:-//linuxsoftware.nz//NONSGML Joyous v1.4//EN BEGIN:VEVENT SUMMARY:Unraveling Integrability and Quantum Chaos in Open Quantum System DTSTART:20230607T143000Z DTEND:20230607T160000Z DTSTAMP:20260804T040036Z UID:221fdf31-8bed-4c57-ad70-1992f1a0bc3a SEQUENCE:1 CREATED:20230602T094615Z DESCRIPTION: We study the quantum and semiclassical dynamics of the dissip ative SU(3) BoseHubbard trimer model. By setup non-cyclic and cyclic limit s\, we could study thegapped and gapless Liouvilian spectrum and the dynam ics of steady states. Employingexact diagonalization on the quantum Liouvi llian superoperator and steady-statedensity matrix\, we characterize quant um chaos through the level statistics of theireigenvalues. The gapped case exhibits a unique well-defined steady state\, while thegapless one posses ses multiple steady states with regular\, limit cycles and chaotictrajecto ries. The spacing level statistics of the density matrix associated with a unique steady stateor regular trajectories is a Poisson\, while for chaot ic multiples steady states thedistribution is Gaussian Unitary Ensemble. F rom the semi-classical point of view\, we obtained the equations of motion by astandard Keldysh path integral method together with the proper stocha stic Langevinequation. We show robust evidence pointing out a deep connect ion between thequantum-level statistics of the density matrix and the dist ribution of Lyapunovexponents associated with classical trajectories for l ong times. LAST-MODIFIED:20230602T094615Z LOCATION:Sala de Seminários do DF\, Pavilhão de Física\, 2º piso URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/unraveling-integrability-a nd-quantum-chaos-in-open-quantum-system/ X-ALT-DESC;FMTTYPE=text/html:

We study the quant um and semiclassical dynamics of the dissipative SU(3) BoseHubbard trimer model. By setup non-cyclic and cyclic limits\, we could study thegapped an d gapless Liouvilian spectrum and the dynamics of steady states. Employing exact diagonalization on the quantum Liouvillian superoperator and steady- statedensity matrix\, we characterize quantum chaos through the level stat istics of theireigenvalues.

The gapped case exhibits a unique we ll-defined steady state\, while thegapless one possesses multiple steady s tates with regular\, limit cycles and chaotictrajectories. The spacing lev el statistics of the density matrix associated with a unique steady stateo r regular trajectories is a Poisson\, while for chaotic multiples steady s tates thedistribution is Gaussian Unitary Ensemble.

From the sem i-classical point of view\, we obtained the equations of motion by astanda rd Keldysh path integral method together with the proper stochastic Langev inequation. We show robust evidence pointing out a deep connection between thequantum-level statistics of the density matrix and the distribution of Lyapunovexponents associated with classical trajectories for long times.

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