# Discrete Time Crystals

@article{Else2019DiscreteTC, title={Discrete Time Crystals}, author={Dominic V. Else and Christopher R. Monroe and C. Nayak and Norman Y. Yao}, journal={Annual Review of Condensed Matter Physics}, year={2019} }

Experimental advances have allowed for the exploration of nearly isolated quantum many-body systems whose coupling to an external bath is very weak. A particularly interesting class of such systems is those that do not thermalize under their own isolated quantum dynamics. In this review, we highlight the possibility for such systems to exhibit new nonequilibrium phases of matter. In particular, we focus on discrete time crystals, which are many-body phases of matter characterized by a…

## 128 Citations

### Quantum Time Crystals from Hamiltonians with Long-Range Interactions.

- PhysicsPhysical review letters
- 2019

This study proposes a form of a Hamiltonian for which the unitary dynamics exhibits the time crystalline behavior and breaks continuous TTS, based on a spin-1/2 many-body Hamiltonian which has long-range multispin interactions in the form of spin strings, thus bypassing previously known no-go theorems.

### The role of fluctuations in quantum and classical time crystals

- Physics
- 2022

Discrete time crystals (DTCs) are a many-body state of matter whose dynamics are slower than the forces acting on it. The same is true for classical systems with period-doubling bifurcations. Hence,…

### Classical prethermal discrete time crystals

- Physics
- 2021

We demonstrate that the prethermal regime of periodically-driven, classical many-body systems can host non-equilibrium phases of matter. In particular, we show that there exists an effective…

### Ancilla assisted Discrete Time Crystals in Non-interacting Spin Systems

- Physics
- 2021

We show here through experiments and exact analytical models the emergence of discrete time translation symmetry breaking in non-interacting systems. These time-periodic structures become stable…

### Realization of a discrete time crystal on 57 qubits of a quantum computer

- PhysicsScience advances
- 2022

Unconventional dynamical phases that violate ergodicity have been a subject of extensive research in recent years. A periodically driven system is naively expected to lose all memory of its initial…

### Ju l 2 01 9 Continuous time crystals from static Hamiltonians with long-range interactions

- Physics
- 2019

Time crystals correspond to a phase of matter where time-translational symmetry (TTS) is broken. Up to date, they are well studied in open quantum systems, where external drive allows to break…

### AC Josephson effect between two superfluid time crystals

- PhysicsNature Materials
- 2020

Two adjacent quantum time crystals implemented by two magnon condensates in the superfluid B-phase of helium-3 are observed to coherently exchange magnons as a manifestation of the AC Josephson effect, offering insights on the dynamics and interactions between these phases of matter.

### Quantum time crystals with programmable disorder in higher dimensions

- Physics
- 2020

We present fresh evidence for the presence of discrete quantum time crystals in two spatial dimensions. Discrete time crystals are intricate quantum systems that are concomitant with spontaneous…

### Nonlinear two-level dynamics of quantum time crystals

- PhysicsNature communications
- 2022

A time crystal is a macroscopic quantum system in periodic motion in its ground state. In our experiments, two coupled time crystals consisting of spin-wave quasiparticles (magnons) form a…

### Discrete time crystals in Bose-Einstein condensates and the symmetry-breaking edge in a simple two-mode theory

- PhysicsPhysical Review A
- 2021

Discrete time crystals (DTCs) refer to a novel many-body steady state that spontaneously breaks the discrete time-translational symmetry in a periodically-driven quantum system. Here, we study DTCs…

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