Add to ORKGGuztwiller's Trace Formula is central to the semiclassical theory of quantum energy levels and spectral statistics in classically chaotic systems. Motivated by recent developments in Random Matrix Theory and Number Theory, we elucidate a hierarchical structure in the way periodic orbits contribute to the Trace Formula that has implications for the value distribution of spectral determinants in quantum chaotic systems.Comment: Submitted to a collection of papers celebrating Michael Berry's 80th birthday. 10 pages, 1 figur
Despite considerable progress during the past decades in devising a semiclassical theory for classic...
We establish the correspondence between the classical and quantum butterfly effects in nonlinear vec...
In a recent paper [K. Życzkowski, Phys. Rev. A 35, 3546 (1987)] the generalized Husimi distribution...
Guztwiller’s Trace Formula is central to the semiclassical theory of quantum energy levels and spect...
We study numerically and analytically the time dependence and saturation of out-of-time ordered corr...
We evaluate the variance of coefficients of the characteristic polynomial for binary quantum graphs ...
We explore quantum chaos diagnostics of variational circuit states at random parameters and study th...
Thesis (Ph.D.), Physics, Washington State UniversityRare sets of classical orbits, such as the heter...
Quantum chaos of many-body systems has been swiftly developing into a vibrant research area at the i...
The spectral fluctuations of quantum (or wave) systems with a chaotic classical (or ray) limit are m...
Wederive a trace formula that expresses the level density of chaotic many-body systems as a smooth t...
Wederive a trace formula that expresses the level density of chaotic many-body systems as a smooth t...
T G is only a good approximation to the quantummechanics when ~ is small. Can we improve the t...
The dynamical signatures of an isolated quantum chaotic system are captured by the spectral form fac...
Wederive a trace formula that expresses the level density of chaotic many-body systems as a smooth t...
Despite considerable progress during the past decades in devising a semiclassical theory for classic...
We establish the correspondence between the classical and quantum butterfly effects in nonlinear vec...
In a recent paper [K. Życzkowski, Phys. Rev. A 35, 3546 (1987)] the generalized Husimi distribution...
Guztwiller’s Trace Formula is central to the semiclassical theory of quantum energy levels and spect...
We study numerically and analytically the time dependence and saturation of out-of-time ordered corr...
We evaluate the variance of coefficients of the characteristic polynomial for binary quantum graphs ...
We explore quantum chaos diagnostics of variational circuit states at random parameters and study th...
Thesis (Ph.D.), Physics, Washington State UniversityRare sets of classical orbits, such as the heter...
Quantum chaos of many-body systems has been swiftly developing into a vibrant research area at the i...
The spectral fluctuations of quantum (or wave) systems with a chaotic classical (or ray) limit are m...
Wederive a trace formula that expresses the level density of chaotic many-body systems as a smooth t...
Wederive a trace formula that expresses the level density of chaotic many-body systems as a smooth t...
T G is only a good approximation to the quantummechanics when ~ is small. Can we improve the t...
The dynamical signatures of an isolated quantum chaotic system are captured by the spectral form fac...
Wederive a trace formula that expresses the level density of chaotic many-body systems as a smooth t...
Despite considerable progress during the past decades in devising a semiclassical theory for classic...
We establish the correspondence between the classical and quantum butterfly effects in nonlinear vec...
In a recent paper [K. Życzkowski, Phys. Rev. A 35, 3546 (1987)] the generalized Husimi distribution...