Floquet Time Crystals.

By D. Else, Bela Bauer, C. Nayak. Physical Review Letters, 2016

766 citations recorded by the source corpus.

We define what it means for time translation symmetry to be spontaneously broken in a quantum system and show with analytical arguments and numerical simulations that this occurs in a large class of many-body-localized driven systems with discrete time-translation symmetry.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a71a0bab8a8f3c548b76966cc5d0ad3922739dfc

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. V. Khemani
2. A. Nahum
3. Matthew Fisher
4. I. Bloch
5. D. Abanin
6. S. Vijay
7. E. Altman
8. Maksym Serbyn

In Statistical and Nonlinear Physics

1. V. Khemani
2. A. Nahum
3. Matthew Fisher
4. Maksym Serbyn
5. I. Bloch
6. Tomaz Prosen
7. S. Vijay
8. D. Abanin

Citations in the corpus

• Coherent many-body spin dynamics in a long-range interacting Ising chain (2017, background): “tions are now also within reach, holding promise to shed new light on many-body phases existing solely in nonequilibrium scenarios [40,41], among them the “Floquet time crystal” phase [39,42,43].”
• Random Quantum Circuits (2022, methodology): “For localized Floquet dynamics, the system can avoid thermalizing to infinite temperature, allowing for novel dynamical phases such as the Floquet time crystal phase, which spontaneously breaks discrete time-translation symmetry (203, 204), and in 2D the anomalous Floquet insulator, with protected c”
• Pre-thermal phases of matter protected by time-translation symmetry (2016, methodology): “In this paper, we construct pre-thermal “Floquet time crystals”, which spontaneously break the discrete time-translation symmetry of periodically-driven systems [43] (1).”
• Colloquium: Atomic quantum gases in periodically driven optical lattices (2016, background): “…behavior described above are periodically driven model systems that in the thermodynamic limit relax to an asymptotic state, dubbed Floquet time crystal, with O(t) 6= O(t + T ), but O(t) = O(t + kT ) with integer k (Else et al., 2016; von Keyserlingk et al., 2016; von Keyserlingk and Sondhi, 2016).”
• Many-Body Quantum Chaos: Analytic Connection to Random Matrix Theory (2017, background): “The case h 1⁄4 π=2 actually corresponds to a generic realization of a Floquet time crystal [29,40], which is nonergodic and where the discrete translational invariance in time is spontaneously broken.”