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Phase Space Crystals: Condensed matter in dynamical systems

Phase Space Crystals: Condensed matter in dynamical systems

Hardcover

Series: Iop eBooks

Physics

ISBN10: 0750335610
ISBN13: 9780750335614
Publisher: Institute of Physics Publishing
Published: Dec 28 2021
Pages: 170
Weight: 1.17
Height: 0.44 Width: 7.00 Depth: 10.00
Language: English

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.

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Physics