Phase Space Crystals: Condensed matter in dynamical systems

By Lingzhen Guo

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.

Key Features

First book on phase space crystals Covers both the basics and up-to-date research of condensed matter in dynamical systems Contains systematic and comprehensive content for beginners Relevant to multiple physics communities including quantum physics and nonlinear science.

• Format: Hardcover
• Language: English
• ISBN: 0750335610
• ISBN13: 9780750335614
• Release Date: March 2022
• Publisher: Institute of Physics Publishing
• Length: 170 Pages
• Weight: 1.17 lbs.
• Dimensions: 0.4" x 7.0" x 10.0"