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王文阁

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Contact Information:63603410

Degree:Dr

Teaching Achievement

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Energy eigenstates as pointer states in systems with weak coupling to environment:Proof is given for a generic coupling and a generic chaotic environment,
A semiclassical approach to the sensitivity of quantum motion near quantum phase transitions,
Quantum Loschmidt echo or fidelity decay in classically chaotic and regular systems.Main achievements: a uniform semiclassical approach to fidelity decay in systems with weak chaos in the classical limit, a general semiclassical expression for fidelity decay in the Lyapunov regime of systems with chaotic classical limit, semiclassical expressions of fidelity decay in regular systems,
A generalized perturbation theory and its application to energy eigenfunctions (EFs)and to local spectral density of states (LDOS) in classically chaotic and mixed-type systems. Including: separation of EFs into non-perturbative and perturbative (tail) parts, statistics of EFs in their non-perturbative parts, dynamical localization, and renormalized Hamiltonians for the non-perturbative parts of EFs; structural properties and a scaling property of LDOS,
Universal statistics for ratios of components of energy eigenfunctions in disordered and classically chaotic systems. Manifestations of the destruction of integrability, in particular in the neighborhood of avoided level crossings,

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