You are cordially invited to the SCL online seminar of the Center for the Study of Complex Systems, which will be held on Thursday, 12 October 2023 at 14:00 on Zoom (the link is given below). The talk entitled

Transient and steady-state quantum chaos

will be given by Filippo Ferrari (Laboratory of Theoretical Physics of Nanosystems and Center for Quantum Science and Engineering, EPFL, Lausanne, Switzerland). The abstract of the talk:

The study and characterization of quantum chaos and its connection to random matrix theory is a milestone in the study of many-body physics [1]. The question of how quantum chaos behaves in the presence of dissipation is attracting an increasing attention, motivated by the advent of noisy intermediate-scale quantum (NISQ) hardware. From a fundamental point of view, dissipation allows overcoming the paradigms of standard quantum mechanics, but at the same time requires developing novel criteria to univocally characterize and determine quantum chaos in dissipative configurations [2]. Furthermore, given the eventual decay of a quantum system towards its steady state, dissipative chaos has been characterized mainly as a transient phenomenon [3].

In this talk, we will introduce the Spectral Statistics of Quantum Trajectories (SSQT), a criterion to define and characterize quantum chaos both in the transient dynamics and in the steady state of driven-dissipative quantum systems [4]. The criterion succeeds where other well-established methods provide ambiguous results. The application of the SSQT to an asymmetrically driven dissipative Bose-Hubbard dimer, a paradigmatic model for quantum simulation, shows the presence of integrability, transient chaos, and steady-state chaos. When comparing the quantum trajectory analysis with a study of the mean-field classical limit, the most cases displaying quantum chaos become classically integrable. This analysis provides strong evidence for the existence of an emergent dissipative quantum chaos, and paves the way for the systematic study, both theoretical and experimental, of chaos in driven-dissipative bosonic chains.

[1] L. D'Alessio et al., Adv. Phys. 65, 239 (2016).
[2] R. Grobe et al, Phys. Rev. Lett. 61, 1899 (1988).
[3] L. Sa et al., Phys. Rev. X 10, 021019 (2020).
[4] F. Ferrari et al., arXiv:2305.15479 (2023).

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Time: Oct 12, 2023 14:00 Belgrade

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Meeting ID: 824 8458 9143
Passcode: 582878
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