TL;DR
This paper explores the concept of quantum time crystals, addressing challenges in realizing spontaneous time symmetry breaking in closed quantum systems and proposing a simple model to demonstrate this phenomenon.
Contribution
It introduces a simple model that overcomes previous difficulties in demonstrating spontaneous time translation symmetry breaking in quantum systems.
Findings
Demonstrates spontaneous breaking of time translation symmetry in a quantum model
Discusses the potential for ordering in imaginary time
Provides a framework for understanding quantum time crystals
Abstract
Difficulties around the idea of spontaneous breaking of time translation symmetry in a closed quantum mechanical system are identified, and then overcome in a simple model. The possibility of ordering in imaginary time is also discussed.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Quantum Mechanics and Applications · Opinion Dynamics and Social Influence