Truncated dynamics, ring molecules, and mechanical time crystals

Journal Article · 24 February 2019 · Physical Review A

DOI: https://doi.org/10.1103/physreva.99.023425 · OSTI ID:1611857

Dai, Jin ^[1]; Niemi, Antti J. ^[2]; Peng, Xubiao ^[3]; Wilczek, Frank ^[4]

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1. Stockholm Univ. (Sweden); DOE/OSTI
2. Stockholm Univ. (Sweden); Uppsala Univ. (Sweden); Beijing Inst. of Technology (China); Far Eastern Federal Univ., Vladivostok (Russia)
3. Beijing Inst. of Technology (China)
4. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Stockholm Univ. (Sweden); Shanghai Jiao Tong Univ. (China); Arizona State Univ., Tempe, AZ (United States)

Here, we identify circumstances where the effective descriptions of microscopic physical systems leads to a self-consistent reduced dynamics for a truncated subset of the original variables. The effective Hamiltonian involves unusual Poisson brackets that bring in noncommutative geometry. In idealized models of ring molecules, we find time crystal behavior is widespread.

• Research Organization: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: SC0012567
• OSTI ID: 1611857
• Journal Information: Physical Review A, Journal Name: Physical Review A Journal Issue: 2 Vol. 99; ISSN 2469-9926
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English