PIRSA:13020121

Time Crystals

APA

Shapere, A. (2013). Time Crystals. Perimeter Institute. https://pirsa.org/13020121

MLA

Shapere, Alfred. Time Crystals. Perimeter Institute, Feb. 05, 2013, https://pirsa.org/13020121

BibTex

          @misc{ pirsa_PIRSA:13020121,
            doi = {10.48660/13020121},
            url = {https://pirsa.org/13020121},
            author = {Shapere, Alfred},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Time Crystals},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {feb},
            note = {PIRSA:13020121 see, \url{https://pirsa.org}}
          }
          

Alfred Shapere University of Kentucky

Abstract

I consider a class of simple classical systems which exhibit motion in their lowest-energy states and thus spontaneously break time-translation symmetry. Their Lagrangians have nonstandard kinetic terms and their Hamiltonians are multivalued functions of momentum, yet they are perfectly consistent and amenable to quantization. Field theoretical generalizations of these systems may have applications in condensed matter physics and cosmology.