Time Crystals in Open Systems

  title={Time Crystals in Open Systems},
  author={Zongping Gong and Masahito Ueda},



Observation of a Dissipative Time Crystal.

The first experimental realization of a time crystal stabilized by dissipation is presented, demonstrating the robustness of this dynamical phase against system parameter changes and temporal perturbations of the driving.

Dicke time crystals in driven-dissipative quantum many-body systems

The Dicke model—a paradigmatic example of superradiance in quantum optics—describes an ensemble of atoms which are collectively coupled to a leaky cavity mode. As a result of the cooperative nature

Quantum computation and quantum-state engineering driven by dissipation

In quantum information science, dissipation is commonly viewed as an adverse effect that destroys information through decoherence. But theoretical work shows that dissipation can be used to drive

Boundary Time Crystals.

This work introduces boundary time crystals and analyzes in detail a solvable model where an accurate scaling analysis can be performed.

Discrete Time-Crystalline Order in Cavity and Circuit QED Systems.

A phenomenology of dissipative discrete time crystals is established by generalizing the Landau theory of phase transitions to Floquet open systems and finding clear signatures of a transient discrete time-crystalline behavior, which is absent in the isolated counterpart.

Discrete Time Crystals: Rigidity, Criticality, and Realizations.

A simple model for a one-dimensional discrete time crystal which explicitly reveals the rigidity of the emergent oscillations as the drive is varied is considered and a blueprint based upon a one dimensional chain of trapped ions is proposed.

Observation of discrete time-crystalline order in a disordered dipolar many-body system

This work observes long-lived temporal correlations, experimentally identifies the phase boundary and finds that the temporal order is protected by strong interactions, which opens the door to exploring dynamical phases of matter and controlling interacting, disordered many-body systems.

Signatures of Many-Body Localization in a Controlled Open Quantum System

In the presence of disorder, an interacting closed quantum system can undergo many-body localization (MBL) and fail to thermalize. However, over long times, even weak couplings to any thermal

Observation of a discrete time crystal

The experimental observation of a discrete time crystal, in an interacting spin chain of trapped atomic ions, is presented, which opens the door to the study of systems with long-range spatio-temporal correlations and novel phases of matter that emerge under intrinsically non-equilibrium conditions.

Absence of Quantum Time Crystals.

A no-go theorem is proved that rules out the possibility of time crystals defined as such, in the ground state or in the canonical ensemble of a general Hamiltonian, which consists of not-too-long-range interactions.