Information geometric methods for complexity
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 …
investigated in a variety of research fields. Various ad hoc formal definitions and …
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 …
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 …
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 …
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
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 …
classical counterpart can exhibit ergodic and mixing dynamics, but is never chaotic …
Complexity of quantum motion and quantum-classical correspondence: A phase-space approach
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 …
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 …
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
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 …
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 …
local exponential instability which effaces the memory of initial conditions and leads to …