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 …

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 …

A distinct feature of Hermitian quantum chaotic dynamics is the exponential increase of
certain out-of-time-order correlation (OTOC) functions around the Ehrenfest time with a rate …

The eigenstate thermalization hypothesis (ETH) represents a cornerstone in the theoretical
understanding of the emergence of thermal behavior in closed quantum systems. The ETH …

Studies of many-body non-Hermitian parity-time (PT)-symmetric quantum systems are
attracting a lot of interest due to their relevance in research areas ranging from quantum …

The dynamics of quantum systems unfolds within a subspace of the state space or operator
space, known as the Krylov space. This review presents the use of Krylov subspace …

The interplay between non-Hermiticity and disorder gives rise to unique universality classes
of Anderson transitions. Here, we develop a field-theoretical description of non-Hermitian …

Open quantum systems undergo decoherence, which is responsible for the transition from
quantum to classical behavior. The time scale in which decoherence takes place can be …

We study a two-site Sachdev-Ye-Kitaev model with complex couplings and a weak intersite
interaction. At low temperatures, the system is dual to a Euclidean wormhole in Jackiw …