Proof of the absence of long-range temporal orders in Gibbs states

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  • Additional Information
    • Publication Date:
      2019
    • Collection:
      Mathematics
      Condensed Matter
      Mathematical Physics
      Quantum Physics
    • Abstract:
      We address the question whether time translation symmetry can be spontaneously broken in a quantum many-body system. One way of detecting such a symmetry breaking is to examine the time-dependence of a correlation function. If the large-distance behavior of the correlation function exhibits a nontrivial time-dependence in the thermodynamic limit, the system would develop a temporal long-range order, realizing a time crystal. In an earlier publication, we sketched a proof for the absence of such time dependence in the thermal equilibrium described by the Gibbs state [H. Watanabe and M. Oshikawa, Phys. Rev. Lett. 114, 251603 (2015)]. Here we present a complete proof and extend the argument to a more general class of stationary states than the Gibbs states.
      Comment: 8 pages, no figure; v2: discussions improved and updated
    • Accession Number:
      edsarx.1911.12939
  • Citations
    • ABNT:
      WATANABE, H.; OSHIKAWA, M.; KOMA, T. Proof of the absence of long-range temporal orders in Gibbs states. [s. l.], 2019. Disponível em: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1911.12939&custid=s6224580. Acesso em: 17 jan. 2020.
    • AMA:
      Watanabe H, Oshikawa M, Koma T. Proof of the absence of long-range temporal orders in Gibbs states. 2019. http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1911.12939&custid=s6224580. Accessed January 17, 2020.
    • APA:
      Watanabe, H., Oshikawa, M., & Koma, T. (2019). Proof of the absence of long-range temporal orders in Gibbs states. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1911.12939&custid=s6224580
    • Chicago/Turabian: Author-Date:
      Watanabe, Haruki, Masaki Oshikawa, and Tohru Koma. 2019. “Proof of the Absence of Long-Range Temporal Orders in Gibbs States.” http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1911.12939&custid=s6224580.
    • Harvard:
      Watanabe, H., Oshikawa, M. and Koma, T. (2019) ‘Proof of the absence of long-range temporal orders in Gibbs states’. Available at: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1911.12939&custid=s6224580 (Accessed: 17 January 2020).
    • Harvard: Australian:
      Watanabe, H, Oshikawa, M & Koma, T 2019, ‘Proof of the absence of long-range temporal orders in Gibbs states’, viewed 17 January 2020, .
    • MLA:
      Watanabe, Haruki, et al. Proof of the Absence of Long-Range Temporal Orders in Gibbs States. 2019. EBSCOhost, search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1911.12939&custid=s6224580.
    • Chicago/Turabian: Humanities:
      Watanabe, Haruki, Masaki Oshikawa, and Tohru Koma. “Proof of the Absence of Long-Range Temporal Orders in Gibbs States,” 2019. http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1911.12939&custid=s6224580.
    • Vancouver/ICMJE:
      Watanabe H, Oshikawa M, Koma T. Proof of the absence of long-range temporal orders in Gibbs states. 2019 [cited 2020 Jan 17]; Available from: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1911.12939&custid=s6224580