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Boundary Time Crystals.

F Iemini1, A Russomanno1,2, J Keeling3

  • 1ICTP, Strada Costiera 11, 34151 Trieste, Italy.

Physical Review Letters
|August 8, 2018
PubMed
Summary
This summary is machine-generated.

We introduce boundary time crystals, where time-translation symmetry breaking occurs in a fraction of a quantum system. Their existence is linked to time-periodic steady states in open quantum systems.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Time-translation symmetry breaking is a key concept in condensed matter physics.
  • Quantum systems exhibit unique phenomena not seen in classical systems.
  • Open quantum systems interact with their environment, leading to complex dynamics.

Purpose of the Study:

  • To introduce and define boundary time crystals.
  • To analyze the properties and conditions for the existence of boundary time crystals.
  • To explore the connection between boundary time crystals and open quantum systems.

Main Methods:

  • Definition and theoretical analysis of boundary time crystals.
  • Detailed examination of a solvable model for boundary time crystals.
  • Scaling analysis in the thermodynamic limit.
  • Investigation of open quantum many-body systems.

Main Results:

  • Boundary time crystals exhibit continuous time-translation symmetry breaking in a macroscopic fraction of a quantum system.
  • A solvable model demonstrates the properties and existence of boundary time crystals.
  • The emergence of a time-periodic steady state in the thermodynamic limit of open quantum systems is crucial.
  • Connections to quantum synchronization phenomena are discussed.

Conclusions:

  • Boundary time crystals represent a novel phase of matter.
  • Their existence is tied to the behavior of open quantum systems.
  • This work opens new avenues for exploring quantum dynamics and synchronization.