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Many-body quantum chaos: Recent developments and applications to nuclei
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 …
spectra and wave functions of nuclei, particles, atoms and other quantum many-body …
Relativistic quantum chaos
Quantum chaos is generally referred to as the study of quantum manifestations or
fingerprints of nonlinear dynamical and chaotic behaviors in the corresponding classical …
fingerprints of nonlinear dynamical and chaotic behaviors in the corresponding classical …
Ubiquitous quantum scarring does not prevent ergodicity
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 …
point of the available phase space after a long time, filling it uniformly. Using Born's rules to …
Relativistic quantum scars
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 …
fundamental phenomenon in physics. An open question is whether scarring can occur in …
Formation, prevalence, and stability of bouncing-ball quantum scars
Quantum scars correspond to enhanced probability densities along unstable classical
periodic orbits. In recent years, research on quantum scars has extended to various systems …
periodic orbits. In recent years, research on quantum scars has extended to various systems …
Antiscarring in chaotic quantum wells
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 …
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
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 …
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
Quantum scars constitute one of the fundamental pillars in the traditional field of
nonrelativistic quantum chaos. In relativistic quantum systems, chiral scars have been …
nonrelativistic quantum chaos. In relativistic quantum systems, chiral scars have been …
Impact of chaos on precursors of quantum criticality
Excited-state quantum phase transitions (ESQPTs) are critical phenomena that generate
singularities in the spectrum of quantum systems. For systems with a classical counterpart …
singularities in the spectrum of quantum systems. For systems with a classical counterpart …
Using reservoir computing to construct scarred wave functions
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 …
functions are a superb tool to carry out studies in it. Several methods, usually semiclassical …