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Treating Many-Body Quantum Systems by Means of Classical Mechanics

  • Andrey R. KolovskyEmail author
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 191)

Abstract

Many-body physics of identical particles is commonly believed to be a sovereign territory of Quantum Mechanics. The aim of this contribution is to show that it is actually not the case and one gets useful insights into a quantum many-body system by using the theory of classical dynamical systems. In the contribution we focus on one paradigmatic model of many-body quantum physics - the Bose–Hubbard model which, in particular, describes interacting ultracold Bose atoms in an optical lattice . We show how one can find/deduce the energy spectrum of the Bose–Hubbard model by using a kind of the semiclassical approach.

Keywords

Hubbard Model Stability Island Bloch Oscillation Semiclassical Method Chaotic Component 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.L.V. Kirensky Institute of Physics of Siberian Branch of Russian Academy of ScienciesKrasnoyarskRussia

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