scholarly journals Classical approaches to prethermal discrete time crystals in one, two, and three dimensions

2021 ◽  
Vol 104 (9) ◽  
Author(s):  
Andrea Pizzi ◽  
Andreas Nunnenkamp ◽  
Johannes Knolle
Keyword(s):  
Discrete Time ◽  
Three Dimensions ◽  
Time Crystals

scholarly journals Stochastic Discrete Time Crystals: Entropy Production and Subharmonic Synchronization

2021 ◽  
Vol 126 (2) ◽  
Author(s):  
Lukas Oberreiter ◽  
Udo Seifert ◽  
Andre C. Barato
Keyword(s):  
Entropy Production ◽  
Discrete Time ◽  
Time Crystals

scholarly journals Discrete Time Crystals: Rigidity, Criticality, and Realizations

2017 ◽  
Vol 118 (3) ◽  
Author(s):  
N. Y. Yao ◽  
A. C. Potter ◽  
I.-D. Potirniche ◽  
A. Vishwanath
Keyword(s):  
Discrete Time ◽  
Time Crystals

Discrete Time Crystals

2020 ◽  
Vol 11 (1) ◽  
pp. 467-499 ◽  
Author(s):  
Dominic V. Else ◽  
Christopher Monroe ◽  
Chetan Nayak ◽  
Norman Y. Yao
Keyword(s):  
Discrete Time ◽  
Quantum Dynamics ◽  
Many Body ◽  
Time Translation ◽  
Translation Symmetry ◽  
Interesting Class ◽  
Many Body Systems ◽  
Definition Of ◽  
Many Body Interactions ◽  
Time Crystals

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 spontaneously broken discrete time-translation symmetry. We give a definition of discrete time crystals from several points of view, emphasizing that they are a nonequilibrium phenomenon that is stabilized by many-body interactions, with no analog in noninteracting systems. We explain the theory behind several proposed models of discrete time crystals, and compare several recent realizations, in different experimental contexts.

scholarly journals Erratum: Discrete Time Crystals: Rigidity, Criticality, and Realizations [Phys. Rev. Lett. 118 , 030401 (2017)]

2017 ◽  
Vol 118 (26) ◽  
Author(s):  
N. Y. Yao ◽  
A. C. Potter ◽  
I.-D. Potirniche ◽  
A. Vishwanath
Keyword(s):  
Discrete Time ◽  
Time Crystals

scholarly journals Spatial-Translation-Induced Discrete Time Crystals

2018 ◽  
Vol 121 (9) ◽  
Author(s):  
Kaoru Mizuta ◽  
Kazuaki Takasan ◽  
Masaya Nakagawa ◽  
Norio Kawakami
Keyword(s):  
Discrete Time ◽  
Spatial Translation ◽  
Time Crystals

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

2021 ◽  
Vol 104 (5) ◽  
Author(s):  
Jia Wang ◽  
Krzysztof Sacha ◽  
Peter Hannaford ◽  
Bryan J. Dalton
Keyword(s):  
Symmetry Breaking ◽  
Discrete Time ◽  
Mode Theory ◽  
Bose Einstein ◽  
Time Crystals

scholarly journals Observation of a Floquet symmetry-protected topological phase with superconducting qubits

2021 ◽  
Author(s):  
Dong-Ling Deng ◽  
Xu Zhang ◽  
Wenjie Jiang ◽  
Jinfeng Deng ◽  
Ke Wang ◽  
...  
Keyword(s):  
Discrete Time ◽  
Distinct Type ◽  
Superconducting Qubits ◽  
Nitrogen Vacancy ◽  
Spontaneous Breaking ◽  
Translational Symmetry ◽  
Topological Phase ◽  
Symmetry Protected ◽  
Non Equilibrium ◽  
Time Crystals

Abstract Quantum many-body systems away from equilibrium host a rich variety of exotic phenomena that are forbidden by equilibrium thermodynamics. A prominent example is that of discrete time crystals [1-8], where time translational symmetry is spontaneously broken in periodically driven systems. Pioneering experiments have observed signatures of time crystalline phases with trapped ions [9,10], spins in nitrogen-vacancy centers [11-13], ultracold atoms [14,15], solid spin ensembles [16,17], and superconducting qubits [18-20]. Here, we report the observation of a distinct type of intrinsically non-equilibrium state of matter, a Floquet symmetry-protected topological phase, which is implemented through digital quantum simulation with an array of programmable superconducting qubits. Unlike the discrete time crystals reported in previous experiments, where spontaneous breaking of the discrete time translational symmetry occurs for local observables throughout the whole system, the Floquet symmetry-protected topological phase observed in our experiment breaks the time translational symmetry only at the boundaries and has trivial dynamics in the bulk. More concretely, we observe robust long-lived temporal correlations and sub-harmonic temporal response for the edge spins over up to 40 driving cycles using a circuit whose depth exceeds 240. We demonstrate that the sub-harmonic response is independent of whether the initial states are random product states or symmetry-protected topological states, and experimentally map out the phase boundary between the time crystalline and thermal phases. Our work paves the way to exploring novel non-equilibrium phases of matter emerging from the interplay between topology and localization as well as periodic driving, with current noisy intermediate-scale quantum processors [21].

scholarly journals Period- n Discrete Time Crystals and Quasicrystals with Ultracold Bosons

2019 ◽  
Vol 123 (15) ◽  
Author(s):  
Andrea Pizzi ◽  
Johannes Knolle ◽  
Andreas Nunnenkamp
Keyword(s):  
Discrete Time ◽  
Time Crystals

GENERATING ISOTROPIC DISCRETE WAVES ON CELLULAR AUTOMATA

2001 ◽  
Vol 15 (07) ◽  
pp. 1007-1021
Author(s):  
FABIEN FESCHET ◽  
LAURE TOUGNE
Keyword(s):  
Cellular Automata ◽  
Discrete Time ◽  
Three Dimensions ◽  
Massively Parallel ◽  
Computation Model ◽  
Discretization Schemes ◽  
Physical Simulations ◽  
Local Characterization ◽  
The Relationship

Cellular automata are a massively parallel computation model with discrete time and local rules. They are well adapted to biological or physical simulations. However, they are intrinsically anisotropic. The possibility of computing isotropic figures on cellular automata such as circles has already been proved.4 Moreover, the previous construction enables to compute all the major discretizations known in the literature. We present in this article an extension of this work to the construction of spheres in three dimensions. A local characterization of a sphere is presented based upon the relationship between spheres and circles. This leads to the possibility of constructing a family of concentric discrete spheres in real time. Moreover, the approach can use many discretization schemes leading to the construction of various discrete spheres as done for circles.

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