Phase Space Crystals: Condensed matter in dynamical systems

Guo, Lingzhen

doi:10.1088/978-0-7503-3563-8

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Phase Space Crystals: Condensed matter in dynamical systems

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Guo, Lingzhen
Marquardt Division, Max Planck Institute for the Science of Light, Max Planck Society;

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https://dx.doi.org/10.1088/978-0-7503-3563-8
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Citation

Guo, L. (2021). Phase Space Crystals: Condensed matter in dynamical systems. IOP eBooks.

Cite as: https://hdl.handle.net/21.11116/0000-0009-D6E3-5

Abstract

This book aims to develop a general framework of condensed matter theory in phase space, instead of configuration space, of a dynamical system. Different from Euclidean real space, phase space is embedded with symplectic geometry in classical mechanics or noncommutative geometry in quantum mechanics. Arbitrary lattice Hamiltonians and crystalline many-body states in phase space can be created with the Floquet approach. The book covers topics ranging from dynamical systems, Floquet theory, topological physics to quantum many-body physics and time crystals. The book fills in the blanks in the study of dynamical systems by considering many-body physics in the phase space.