Publication Details:
Journal or Publication Title:
Armenian Journal of Physics=Ֆիզիկայի հայկական հանդես
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Title:
Thermodynamic Quantum Time-Space Crystal: Spontaneous Breaking of Time-Translation Invariance
Creator:
Corporate Creators:
Ruhr University Bochum, Faculty of Physics and Astronomy, Bochum, 44780, Germany ; National University of Science and Technology MISiS, Moscow, 119049, Russia ; International Institute of Physics, UFRN, 59078-400 Natal, Brazil
Subject:
Physics ; Quantum mechanics, field theories, and special relativity
Coverage:
Abstract:
We suggest and study a model of interacting fermions demonstrating existence of a thermodynamically stable quantum time-space crystal. An order parameter characterizing this state is periodic in both real and imaginary times. The imaginary-time dependence is used for calculation of the free energy of the system, while the real-time dependence leads to non-decaying oscillation of correlation functions of two- and more times. Single-time physical quantities do not depend on time. The oscillation of correlation functions at different time scan in principle be observed in scattering experiments.