Information geometric methods for complexity

D Felice, C Cafaro, S Mancini - Chaos: An Interdisciplinary Journal of …, 2018 - pubs.aip.org
Describing and, to a certain extent, understanding the concept of complexity has been
investigated in a variety of research fields. Various ad hoc formal definitions and …

Quantum chaos meets coherent control

J Gong, P Brumer - Annu. Rev. Phys. Chem., 2005 - annualreviews.org
▪ Abstract Coherent control of atomic and molecular processes has been a rapidly
developing field. Applications of coherent control to large and complex molecular systems …

Entanglement production in coupled chaotic systems: Case of the kicked tops

JN Bandyopadhyay, A Lakshminarayan - Physical Review E, 2004 - APS
Entanglement production in coupled chaotic systems is studied with the help of kicked tops.
Deriving the correct classical map, we have used the reduced Husimi function, the Husimi …

Quantum biology on the edge of quantum chaos

G Vattay, S Kauffman, S Niiranen - PloS one, 2014 - journals.plos.org
We give a new explanation for why some biological systems can stay quantum coherent for
a long time at room temperature, one of the fundamental puzzles of quantum biology. We …

Lyapunov exponent in quantum mechanics. A phase-space approach

VI Man'ko, RV Mendes - Physica D: Nonlinear Phenomena, 2000 - Elsevier
Using the symplectic tomography map, both for the probability distributions in classical
phase-space and for the Wigner functions of its quantum counterpart, we discuss a notion of …

Statistical and dynamical properties of the quantum triangle map

J Wang, G Benenti, G Casati… - Journal of Physics A …, 2022 - iopscience.iop.org
We study the statistical and dynamical properties of the quantum triangle map, whose
classical counterpart can exhibit ergodic and mixing dynamics, but is never chaotic …

Complexity of quantum motion and quantum-classical correspondence: A phase-space approach

J Wang, G Benenti, G Casati, W Wang - Physical Review Research, 2020 - APS
We discuss the connection between the out-of-time-ordered correlator and the number of
harmonics of the phase-space Wigner distribution function. In particular, we show that both …

Lyapunov exponents, entropy production, and decoherence

AK Pattanayak - Physical review letters, 1999 - APS
We establish that the entropy production rate of a classically chaotic Hamiltonian system
coupled to the environment settles, after a transient, to a metastable value given by the sum …

Environmental effects in the quantum-classical transition for the delta-kicked harmonic oscillator

ARR Carvalho, RL de Matos Filho, L Davidovich - Physical Review E …, 2004 - APS
We discuss the roles of the macroscopic limit and different system-environment interactions
in a quantum-classical transition for a chaotic system. We consider the kicked harmonic …

How complex is quantum motion?

G Benenti, G Casati - Physical Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
In classical mechanics the complexity of a dynamical system is characterized by the rate of
local exponential instability which effaces the memory of initial conditions and leads to …