English

Slowly decaying real-time oscillations in instanton crystal

Strongly Correlated Electrons 2021-11-04 v1

Abstract

Instanton crystal is a fascinating phase which is encountered when the minimum of the free energy corresponds to a configuration with an imaginary-time-dependent order parameter in the form of a chain of alternating instantons and anti-instantons. We present the results of the investigation of the real-time correlation functions of the order parameter in the instanton crystal phase. In order to obtain the correlation functions in real-time, we formulate an original method of analytic continuation from imaginary times, which is easily adapted into an efficient numerical scheme for the computations. The resulting correlation functions exhibit non-trivial slowly decaying oscillations in real-time, which is reminiscent of prethermal time crystals.

Keywords

Cite

@article{arxiv.2111.02346,
  title  = {Slowly decaying real-time oscillations in instanton crystal},
  author = {Grigory A. Starkov and Konstantin B. Efetov},
  journal= {arXiv preprint arXiv:2111.02346},
  year   = {2021}
}