Superfluidity and Space-Time Translation Symmetry Breaking

TL;DR

This paper introduces a simple model demonstrating spontaneous breaking of time translation symmetry, akin to superconducting order, with potential applications in low-dissipation AC circuits and space-time generalizations.

Contribution

It presents a novel model for temporal symmetry breaking and proposes designs for minimally dissipative AC circuits utilizing this phenomenon.

Findings

Model exhibits spontaneous time translation symmetry breaking.

Designs for low-dissipation AC circuits based on weak links.

Discussion of effective theories and space-time generalizations.

Abstract

I present a simple model that exhibits a temporal analogue of superconducting crystalline (LOFF) ordering. I sketch designs for minimally dissipative AC circuits, all based on time translation symmetry ($\tau$) invariant dynamics, exploiting weak links (Josephson effects). These systems violate $\tau$ spontaneously. I also discuss effective theories of that phenomenon, and space-time generalizations.