Quantum Breathers in Dynamics of a Coherent State
by Igumenshchev, Kirill, Ph.D., UNIVERSITY OF ROCHESTER, 2012, 100 pages; 3478301

Abstract:

Understanding quantum dynamics in multi-dimensional systems, where non-linear effects are strong enough to spatially localize energy, has the potential to push forward experimental and theoretical research in the fields of medicine, nano-scale material science, quantum computing and optics. Current methods that account for quantum effects are limited to 2 or 3 degrees of freedom. These systems are extremely hard to study experimentally. We would like to fill the gap between the quantum description of discrete breathers (DB) and experiments by introducing semi-classical path-integral methods. We analyze quantum dynamics in a system using Herman-Kluk and Quantized Hamilton Dynamics methods, which in a classical limit contains DB. These methods rely on the propagation of a coherent state. We start this work with an analysis of quantum dynamics of a coherent state. We find that in quantum dynamics, a transition from a region of normal modes to local modes is smooth, and both of the aforementioned semi-classical methods model this transition correctly. We further show that both of the semi-classical methods are a great tool to study quantum DB in multi-dimensional systems, and we describe the limitations of these methods.

 
AdvisersMisha Ovchinnikov; Oleg Prezhdo
SchoolUNIVERSITY OF ROCHESTER
SourceDAI/B 73-01, p. , Nov 2011
Source TypeDissertation
SubjectsPhysical chemistry
Publication Number3478301
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