Phase Space Crystals

Condensed matter in dynamical systems

Lingzhen Guo

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Institute of Physics Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Naturwissenschaften allgemein

Beschreibung

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.

Kundenbewertungen

Schlagwörter

Phase Space Crystals, Time Crystals, Condensed Matter, Dynamical Systems, Many-Body Physics. Topological Physics, Quantum Hall Effect