We develop a theory of symmetry in open quantum systems. Using the operator-state
mapping, we characterize symmetry of Liouvillian superoperators for the open quantum …

A bstract We use Krylov complexity to study operator growth in the q-body dissipative
Sachdev-Ye-Kitaev (SYK) model, where the dissipation is modeled by linear and random p …

A bstract Continuing the previous initiatives [1, 2], we pursue the exploration of operator
growth and Krylov complexity in dissipative open quantum systems. In this paper, we resort …

Spectral correlations are a powerful tool to study the dynamics of quantum many-body
systems. For Hermitian Hamiltonians, quantum chaotic motion is related to random matrix …

The spectral statistics of non-Hermitian random matrices are of importance as a diagnostic
tool for chaotic behavior in open quantum systems. Here, we investigate the statistical …

We study the open quantum dynamics of the Sachdev-Ye-Kitaev (SYK) model described by
the Lindblad master equation, where the SYK model is coupled to Markovian reservoirs with …

We propose the Sachdev-Ye-Kitaev Lindbladian as a paradigmatic solvable model of
dissipative many-body quantum chaos. It describes N strongly coupled Majorana fermions …

We study the Lindbladian dynamics of the Sachdev-Ye-Kitaev (SYK) model, where the SYK
model is coupled to Markovian reservoirs with jump operators that are either linear or …

We study the out-of-equilibrium dynamics of a Sachdev-Ye-Kitaev (SYK) model, N fermions
with aq-body interaction of infinite range, coupled to a Markovian environment. Close to the …

Spectral rigidity in Hermitian quantum chaotic systems signals the presence of dynamical
universal features at timescales that can be much shorter than the Heisenberg time. We …