Semiclassical quantization of nonadiabatic systems with hopping periodic orbits
arXiv:1406.3769 · doi:10.1063/1.4907910
Abstract
We present a semiclassical quantization condition, i.e., quantum-classical correspondence, for steady states of nonadiabatic systems consisting of fast and slow degrees of freedom (DOFs) by extending Gutzwiller's trace formula to a nonadiabatic form. The quantum-classical correspondence indicates that a set of primitive hopping periodic orbits, which are invariant under time evolution in the phase space of the slow DOF, should be quantized. The semiclassical quantization is then applied to a simple nonadiabatic model and accurately reproduces exact quantum energy levels. In addition to the semiclassical quantization condition, we also discuss chaotic dynamics involved in the classical limit of nonadiabatic dynamics.
Submitted to JCP
References in corpus (5)
- Experimental Realization of Nonadiabatic Holonomic Quantum Computation
- Exact quantum statistics for electronically nonadiabatic systems using continuous path variables
- Exciton dissociation at donor-acceptor polymer heterojunctions: quantum nonadiabatic dynamics and effective-mode analysis
- Path integral formulation for quantum nonadiabatic dynamics and the mixed quantum-classical limit
- Quantum adiabatic theorem in light of the Marzlin-Sanders inconsistency