Random matrices and chaos in nuclear physics: Nuclear structure

HA Weidenmüller, GE Mitchell - Reviews of Modern Physics, 2009 - APS
Evidence for the applicability of random-matrix theory to nuclear spectra is reviewed. In
analogy to systems with few degrees of freedom, one speaks of chaos (more accurately …

Random matrices and chaos in nuclear physics: Nuclear reactions

GE Mitchell, A Richter, HA Weidenmüller - Reviews of Modern Physics, 2010 - APS
The application of random-matrix theory (RMT) to compound-nucleus (CN) reactions is
reviewed. An introduction into the basic concepts of nuclear scattering theory is followed by …

[图书][B] Quantum signatures of chaos

F Haake - 1991 - Springer
The distinction between level clustering and level repulsion is one of the quantum
analogues of the classical distinction between globally regular and predominantly chaotic …

AdS3/RMT2 duality

G Di Ubaldo, E Perlmutter - Journal of High Energy Physics, 2023 - Springer
A bstract We introduce a framework for quantifying random matrix behavior of 2d CFTs and
AdS 3 quantum gravity. We present a 2d CFT trace formula, precisely analogous to the …

Semiclassical roots of universality in many-body quantum chaos

K Richter, JD Urbina, S Tomsovic - Journal of Physics A …, 2022 - iopscience.iop.org
Quantum chaos of many-body (MB) systems has been swiftly developing into a vibrant
research area at the interface between various disciplines, ranging from statistical physics to …

Many-body quantum chaos: Recent developments and applications to nuclei

JMG Gómez, K Kar, VKB Kota, RA Molina, A Relaño… - Physics Reports, 2011 - Elsevier
In the last decade, there has been an increasing interest in the analysis of energy level
spectra and wave functions of nuclei, particles, atoms and other quantum many-body …

[图书][B] Nonlinear dynamics and quantum chaos

S Wimberger - 2014 - Springer
Sandro Wimberger An Introduction Second Edition Page 1 Nonlinear Dynamics and
Quantum Chaos Sandro Wimberger An Introduction Second Edition Graduate Texts in …

Quantum chaos in triangular billiards

Č Lozej, G Casati, T Prosen - Physical Review Research, 2022 - APS
We present an extensive numerical study of spectral statistics and eigenfunctions of
quantized triangular billiards. We compute two million consecutive eigenvalues for six …

Particle-time duality in the kicked Ising spin chain

M Akila, D Waltner, B Gutkin… - Journal of Physics A …, 2016 - iopscience.iop.org
We demonstrate that the dynamics of kicked spin chains possess a remarkable duality
property. The trace of the unitary evolution operator for N spins at time T is related to one of a …

Decoherence, entanglement and irreversibility in quantum dynamical systems with few degrees of freedom

P Jacquod, C Petitjean - Advances in Physics, 2009 - Taylor & Francis
In this review we summarize and amplify recent investigations of coupled quantum
dynamical systems with few degrees of freedom in the short-wavelength, semiclassical limit …