科研之友
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摘要
Discrete breathers (DBs) provide an important example of spatial localization of energy encountered in non-linear many-body systems. Studying the quantum equivalent of DBs has always been restricted to small or simple systems. We show that Herman-Kluk (HK), a well studied semi-classical method, can be used successfully to observe the dynamics of a quantum state for systems that are too large for conventional quantum mechanical methods. HK reduces the growth of computational cost that comes with increase of system size. We show that HK performs very well for a quartic potential, when compared to exact quantum dynamics. As an application of the approach, we compute and analyse the spectrum of quantum DBs in a seven-dimensional potential. This result advances our ability to model experimental systems in many fields, including solar energy harvesting, quantum computing, nano-science, medicine, etc.
- 出版日期2012
