Reprint

Quantum Chaos—Dedicated to Professor Giulio Casati on the Occasion of His 80th Birthday

Edited by
September 2023
662 pages
  • ISBN978-3-0365-8858-2 (Hardback)
  • ISBN978-3-0365-8859-9 (PDF)

This book is a reprint of the Special Issue Quantum Chaos—Dedicated to Professor Giulio Casati on the Occasion of His 80th Birthday that was published in

Chemistry & Materials Science
Computer Science & Mathematics
Physical Sciences
Summary

Quantum chaos, or wave chaos, has relatively recently received a revival, with much interest and attention in many branches of physics, theoretical, experimental and computational. It encompasses a broad range of topics, from various few-body and many-body dynamical systems to nano and mesoscopic systems, condensed matter physics, molecular and atomic physics, quantum field theories, high-energy physics, string theories and even cosmology. It is also relevant in many other wave systems, namely electromagnetic waves, acoustic waves, elastic waves, water surface waves, seismic waves and gravitational waves. This Special Issue contains 36 original research papers and 2 review papers by many pioneers and leaders in quantum chaos and classical chaos, and by several authors of the younger generation. The contents clearly reflect the importance and broadness of this scientific field, offering new contributions to progress in almost all of the abovementioned topics. We are thus witnessing fundamental progress in understanding quantum few-body as well as many-body systems, from the dynamical aspects to statistical aspects, which also involves issues in the statistical physics of quantum systems, both in equilibrium as well as in nonequilibrium states. The richness of the scientific content of this unique Special Issue underlines the important contributions by Professor Giulio Casati over more than five decades, thereby honoring him on the occasion of his 80th birthday and thanking him for his fundamental work on classical and quantum chaos and much more.

Format
  • Hardback
License
© 2022 by the authors; CC BY-NC-ND license
Keywords
level compressibility; barrier billiards; quantum chaos; random quantum circuits; field theory; master equation; equilibration; Markov approximation; many-body localization; twist overlap; quantum computing; kicked top model; quantum resonance; pseudoclassical limit; dynamical entanglement; elliptic flowers billiards; chaotic and non-chaotic core; chaotic and non-chaotic tracks; quantum chaos; extended Dicke model; spectral statistics; eigenstate structure; Birkhoff billiard; invariant curve; action minimizers: rigidity, integrable billiards; microcavities; quantum chaos; ray–wave correspondence; quantum chaos; billiard lasers; microcavity lasers; n/a; thermal state; isolated many-body system; quantum chaos; quantum integrability; canonical density matrix; AB phase; Berry phase; power-law nonlinearity; Dirac cone; adiabatic dynamics; quantization; quantum chaos; eigenstate thermalization hypothesis; quantum entanglement; OTOC; information scrambling; relaxation dynamics; quantum chaos; electronic-state chaos; electron dynamics; nonadiabatic dynamics; chemical dynamics; semiclassical mechanics; quantum tunneling; stochasticity and determinicity; non-Hermitian random matrices; complex eigenvalues; extreme eigenvalues; eigenvalue outlier; resonances; resonance trapping; microcavity billiards; sources; ray–wave correspondence; phase-space dynamics; Husimi function; quantum chaos; quantum complexity; quantum to classical transition; quantum graphs; interlacing theorem; random matrix theory; open quantum system; non-linear dynamics; chaotic attractors; random scattering; random potential; extreme event statistics; scars; localization effects; quantum billiards; rough billiards; survival probability; spectral form factor; quench dynamics; many-body quantum chaos; disordered spin model; quantum chaos; generalized Lyapunov exponents; quantum bound to chaos; area-preserving maps; record statistics; infinite ergodicity; metastability; classical statistical mechanics; advanced numerical methods; semiclassical methods and results; integrability-chaos cross-over; quantum chaos; eigenstate statistics; transition probability; Lipkin-Meshkov-Glick (LMG) model; statistical topology; random matrices; chirality; winding numbers; quantum dissipation; stochasticity; nonlinearity; chaos; Wigner equation; Fokker–Planck equation; system with long-range interactions; on-site potential; supratransmission; Hamiltonian lattices; quantum chaos; spectral form factor; dynamical localization; billiards; stadium; 80th birthday of Giulio Casati; quantum chaos; level dynamics; integrable systems; chaotic Hamiltonian systems; quantum chaos; eigenstate thermalization hypothesis; cellular automata; interacting dynamics; ergodic theory; ergodicity breaking; integrability; conservation laws; time evolution of quantum systems; structure of eigenstates and energy spectra; random matrix theory; semiclassical methods and results; atomic, molecular and solid-state systems; quantum chaos; relativistic quantum chaos; quantum billiards; relativistic quantum billiard; classical and quantum entropies; chaos; quantum to classical transition; Lyapunov error; reversibility error; Gibbs entropy; wave chaos; n/a