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 …

Relativistic quantum chaos

L Huang, HY Xu, C Grebogi, YC Lai - Physics Reports, 2018 - Elsevier
Quantum chaos is generally referred to as the study of quantum manifestations or
fingerprints of nonlinear dynamical and chaotic behaviors in the corresponding classical …

Ubiquitous quantum scarring does not prevent ergodicity

S Pilatowsky-Cameo, D Villaseñor… - Nature …, 2021 - nature.com
In a classically chaotic system that is ergodic, any trajectory will be arbitrarily close to any
point of the available phase space after a long time, filling it uniformly. Using Born's rules to …

Relativistic quantum scars

L Huang, YC Lai, DK Ferry, SM Goodnick, R Akis - Physical review letters, 2009 - APS
The concentrations of wave functions about classical periodic orbits, or quantum scars, are a
fundamental phenomenon in physics. An open question is whether scarring can occur in …

Formation, prevalence, and stability of bouncing-ball quantum scars

S Selinummi, J Keski-Rahkonen, F Chalangari… - Physical Review B, 2024 - APS
Quantum scars correspond to enhanced probability densities along unstable classical
periodic orbits. In recent years, research on quantum scars has extended to various systems …

Antiscarring in chaotic quantum wells

J Keski-Rahkonen, AM Graf, EJ Heller - arxiv preprint arxiv:2403.18081, 2024 - arxiv.org
Chaos plays a crucial role in numerous natural phenomena, but its quantum nature has
remained large elusive. One intriguing quantum-chaotic phenomenon is the scarring of a …

Quantum scarring in a spin-boson system: fundamental families of periodic orbits

S Pilatowsky-Cameo, D Villasenor… - New Journal of …, 2021 - iopscience.iop.org
As the name indicates, a periodic orbit is a solution for a dynamical system that repeats itself
in time. In the regular regime, periodic orbits are stable, while in the chaotic regime, they …

Quantization of massive Dirac billiards and unification of nonrelativistic and relativistic chiral quantum scars

MY Song, ZY Li, HY Xu, L Huang, YC Lai - Physical Review Research, 2019 - APS
Quantum scars constitute one of the fundamental pillars in the traditional field of
nonrelativistic quantum chaos. In relativistic quantum systems, chiral scars have been …

Impact of chaos on precursors of quantum criticality

I García-Mata, E Vergini, DA Wisniacki - Physical Review E, 2021 - APS
Excited-state quantum phase transitions (ESQPTs) are critical phenomena that generate
singularities in the spectrum of quantum systems. For systems with a classical counterpart …

Using reservoir computing to construct scarred wave functions

L Domingo, J Borondo, F Borondo - Physical Review E, 2024 - APS
Scar theory is one of the fundamental pillars in the field of quantum chaos, and scarred
functions are a superb tool to carry out studies in it. Several methods, usually semiclassical …