The quantum kicked rotor serves as a unifying model for classical and quantum chaos, covering foundational concepts, experimental realizations, and recent advances in topological and non-Hermitian physics.
Quantum analogues of exponential sensitivity: from Loschmidt echo to Krylov complexity
1 Pith paper cite this work. Polarity classification is still indexing.
abstract
One of the fundamental manifestations of classical chaos is exponential sensitivity to initial conditions that is, two trajectories starting from nearly identical initial states diverge exponentially over time. This behavior is quantified by the Lyapunov exponents. Due to the unitary nature of quantum mechanics, such exponential divergence is elusive in quantum systems. As a result, several alternative quantities have been proposed and studied in recent years to capture analogous behavior. In this article, we present a pedagogical overview of three such quantities that have been the focus of intense research in recent years: the Loschmidt echo, out-of-time-order correlators (OTOCs), and Krylov complexity.
citation-role summary
citation-polarity summary
fields
quant-ph 1years
2026 1verdicts
UNVERDICTED 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
The Quantum Kicked Rotor: A Paradigm of Quantum Chaos. Foundational aspects and new perspectives
The quantum kicked rotor serves as a unifying model for classical and quantum chaos, covering foundational concepts, experimental realizations, and recent advances in topological and non-Hermitian physics.