Herman-Kluk allows analysis of quantum discrete breathers in higher dimensional systems

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.View full textDownload full textKeywordsdiscrete breathers, non-linear dynamics, energy localization, semi-classical, Herman-KlukRelated var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00268976.2012.680513