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Semiclassical Theory for Universality in Quantum Chaos with Symmetry Crossover
Keiji Saito, Taro Nagao, Sebastian Muller +1
We address the quantum-classical correspondence for chaotic systems with a crossover between symmetry classes. We consider the energy level statistics of a classically chaotic syst…
Semiclassical Approach to Parametric Spectral Correlation with Spin 1/2
Taro Nagao, Keiji Saito
The spectral correlation of a chaotic system with spin 1/2 is universally described by the GSE (Gaussian Symplectic Ensemble) of random matrices in the semiclassical limit. In semi…
Semiclassical Theory for Parametric Correlation of Energy Levels
Taro Nagao, Petr Braun, Sebastian Müller +3
Parametric energy-level correlation describes the response of the energy-level statistics to an external parameter such as the magnetic field. Using semiclassical periodic-orbit th…
Distribution of the spacing between two adjacent avoided crossings
Manabu Machida, Keiji Saito
We consider the frequency at which avoided crossings appear in an energy level structure when an external field is applied to a quantum chaotic system. The distribution of the spac…
Spectral Form Factor for Chaotic Dynamics in a Weak Magnetic Field
Keiji Saito, Taro Nagao
Using semiclassical periodic orbit theory for a chaotic system in a weak magnetic field, we obtain the form factor predicted by Pandey and Mehta's two matrix model up to the third…
Strong Evidence of Normal Heat Conduction in a one-Dimensional Quantum System
Keiji Saito
We investigate how the normal energy transport is realized in one-dimensional quantum systems using a quantum spin system. The direct investigation of local energy distribution und…