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 …

[KNIHA][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 …

[KNIHA][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 …

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 develo** into a vibrant
research area at the interface between various disciplines, ranging from statistical physics to …

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 …

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 …

Quantum chaos on edge

A Altland, KW Kim, T Micklitz, M Rezaei, J Sonner… - Physical Review …, 2024 - APS
Recently, the physics of many-body quantum chaotic systems close to their ground states
has come under intensified scrutiny. Such studies are motivated by the emergence of model …

[KNIHA][B] Embedded random matrix ensembles in quantum physics

VKB Kota - 2014 - Springer
Random matrix theory was introduced into physics by EP Wigner in 1955, and consolidated
with deeper and wider ranging investigations in the last three decades, it has become an …