教学资源 More>>

• C-Chaos,2021/08/10
• Q-Chaos,2021/08/10
• QM-interpretation,2021/08/10
• QF-decoh-PS.pdf,2021/08/10
• QPT-CA-BEC-12,2021/08/10

授课信息

• Lecturer (1998-2001): Electrodynamics, Quantum mechanics, Thermodynamics and Statistical Physics, at Southeast University, China,0,
• Lecturer (2004-2007): Advanced Dynamics, at National University of Singapore, Singapore,0,
• Lecturer (2007-): Nonlinear Physics, Advanced statistical physics, at University of science and technology of China, China,0,

教学成果

• 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,