Multilayer Anisotropic Thin Film with a Twist
ISSN: 1829-1171
Submitted: 2026-07-17
Natural Sciences, Physics, 2026
Thermodynamic Quantum Time-Space Crystal: Spontaneous Breaking of Time-Translation Invariance
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Submitted: 2026-07-21
© 2026 by author(s) and The Gufo Inc.
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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.