Universal dephasing mechanism of many-body quantum chaos

Y Liao, V Galitski - Physical Review Research, 2022 - APS
… in the theory of localization, underlies this transition to chaos. … time” t, which characterizes
level correlations in the many-body … of the theory of WL and periodic-orbit theory of chaos and …

Quantum Chaos and level dynamics

J Zakrzewski - Entropy, 2023 - mdpi.com
… by a beautiful periodic orbit theory application by the late Fritz … to express the two-level
correlation function in the Poisson-… universal and to what extend the particular quantally chaotic

Order-chaos transition in correlation diagrams and quantization of period orbits

FJ Arranz, J Montes, F Borondo - Physical Review E, 2023 - APS
… index of each scarring periodic orbit, which is necessary for … A cornerstones in the development
of quantum chaos is level … Haake, Periodic-orbit theory of universal level correlations in …

Universal spectral correlations in interacting chaotic few-body quantum systems

F Fritzsch, MFI Kieler - Physical Review E, 2024 - APS
… systems is a defining feature of quantum chaos. We study such correlations in terms of the …
this emergent behavior comparable to the semiclassical periodic orbit–based picture in single…

Dynamical quantum ergodicity from energy level statistics

A Vikram, V Galitski - Physical Review Research, 2023 - APS
… question of quantum chaos, but a rigorous quantum notion of … -dependent analogues of
periodic orbit theory, for ensembles of … While correlation functions of local observables have been …

Semiclassical roots of universality in many-body quantum chaos

K Richter, JD Urbina, S Tomsovic - … Mathematical and Theoretical, 2022 - iopscience.iop.org
… -matrix correlations of both SP and MB quantum chaotic … foundations for universal aspects
of quantum chaotic MB systems, ie … foundations of periodic-orbit theory in quantum chaos [17]: …

Distribution of the ratio of consecutive level spacings for different symmetries and degrees of chaos

ÁL Corps, A Relano - Physical Review E, 2020 - APS
… in a typical quantum chaotic spectrum. The degree of chaos then depends on the coupling
strength. Crucially, as we show in this work, there cannot exist a universal result that allows …

Quantum Chaos

CF Kam, WM Zhang, DH Feng - … States: New Insights into Quantum …, 2022 - Springer
… Thus, the universal properties of quantum chaos associated … approached an unstable periodic
orbit when moving forward and … chaos by exploring the effect of quantum correlation in the …

A Brief Introduction to Quantum Chaos of Generic Systems

M Robnik - International Conference on Complex Systems and …, 2022 - Springer
… Instead of defining all the correlation functions etc., we shall … present) we find the universal
statistical behaviour of the … level spacing and T is the period of the shortest periodic orbit. …

Periodic orbit theory of Bethe-integrable quantum systems: an N-particle Berry–Tabor trace formula

JD Urbina, M Kelly, K Richter - … A: Mathematical and Theoretical, 2023 - iopscience.iop.org
… For chaotic quantum systems, access to individual energy levels (… to resummed expressions
over periodic orbit contributions towards … of measures for (non-universal) long-range spectral …