Quantum kicked rotor and its variants: Chaos, localization and beyond
Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …
Exponential growth of out-of-time-order correlator without chaos: inverted harmonic oscillator
A bstract We provide a detailed examination of a thermal out-of-time-order correlator (OTOC)
growing exponentially in time in systems without chaos. The system is a one-dimensional …
growing exponentially in time in systems without chaos. The system is a one-dimensional …
From dual-unitary to quantum Bernoulli circuits: Role of the entangling power in constructing a quantum ergodic hierarchy
Deterministic classical dynamical systems have an ergodic hierarchy, from ergodic through
mixing, to Bernoulli systems that are “as random as a coin toss.” Dual-unitary circuits have …
mixing, to Bernoulli systems that are “as random as a coin toss.” Dual-unitary circuits have …
Bridging entanglement dynamics and chaos in semiclassical systems
It is widely recognized that entanglement generation and dynamical chaos are intimately
related in semiclassical models via the process of decoherence. In this paper, we propose a …
related in semiclassical models via the process of decoherence. In this paper, we propose a …
Information scrambling over bipartitions: Equilibration, entropy production, and typicality
In recent years, the out-of-time-order correlator (OTOC) has emerged as a diagnostic tool for
information scrambling in quantum many-body systems. Here, we present exact analytical …
information scrambling in quantum many-body systems. Here, we present exact analytical …
Quantum chaos and the correspondence principle
The correspondence principle is a cornerstone in the entire construction of quantum
mechanics. This principle has been recently challenged by the observation of an early-time …
mechanics. This principle has been recently challenged by the observation of an early-time …
Saddle-point scrambling without thermalization
Out-of-time-order correlators (OTOCs) have proven to be a useful tool for studying
thermalization in quantum systems. In particular, the exponential growth of OTOCS, or …
thermalization in quantum systems. In particular, the exponential growth of OTOCS, or …
Classical route to ergodicity and scarring in collective quantum systems
Ergodicity, a fundamental concept in statistical mechanics, is not yet a fully understood
phenomena for closed quantum systems, particularly its connection with the underlying …
phenomena for closed quantum systems, particularly its connection with the underlying …
Out-of-time-ordered correlators and the Loschmidt echo in the quantum kicked top: how low can we go?
The out-of-time-ordered correlators (OTOCs) and the Loschmidt echo are two measures that
are now widely being explored to characterize sensitivity to perturbations and information …
are now widely being explored to characterize sensitivity to perturbations and information …
Out-of-time-order correlators of nonlocal block-spin and random observables in integrable and nonintegrable spin chains
Out-of-time-order correlators (OTOC) in the Ising Floquet system, which can be both
integrable and nonintegrable, are studied. Instead of localized spin observables, we study …
integrable and nonintegrable, are studied. Instead of localized spin observables, we study …