Time crystals: a review

2017/09/08 by Krzysztof Sacha, Jakub Zakrzewski · 34 citations
Physics and Astronomy · Computer Science · Engineering · #Quantum many-body systems #Nonlinear Dynamics and Pattern Formation #Control and Stability of Dynamical Systems

paper · doi:10.1088/1361-6633/aa8b38

Abstract

Time crystals are time-periodic self-organized structures postulated by Frank Wilczek in 2012. While the original concept was strongly criticized, it stimulated at the same time an intensive research leading to propositions and experimental verifications of discrete (or Floquet) time crystals-the structures that appear in the time domain due to spontaneous breaking of discrete time translation symmetry. The struggle to observe discrete time crystals is reviewed here together with propositions that generalize this concept introducing condensed matter like physics in the time domain. We shall also revisit the original Wilczek's idea and review strategies aimed at spontaneous breaking of continuous time translation symmetry.

Citations

• Solution of the Schrödinger Equation with a Hamiltonian Periodic in Time
• Light-induced gauge fields for ultracold atoms

Cited by

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• Discrete Time Crystals in Actively Mode-Locked Lasers
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• Emergent ac Effect in Nonreciprocal Coupled Condensates
• Frequency comb behavior of time crystals in an rf-driven dissipative Rydberg system
• On prethermal time crystals from semi-holography
• Analytical quantification of strongly disordered discrete time crystals
• Classifying one-dimensional Floquet phases through two-dimensional topological order
• Tunable discrete quasi-time crystal from a single drive
• Exploring nonlinear dynamics in periodically driven time crystal from synchronization to chaotic motion
• The Boundary Time Crystal as a light source for collectively enhanced sensing
• Breakdown of adiabaticity in topological quantum liquids
• Optically-Induced Faraday-Goldstone Waves
• Harnessing Floquet dynamics for selective metrology in few-qubit systems
• Higher-order discrete time crystals in a quantum chaotic top
• Spatiotemporal crystallization of an active fluid
• Boundary Time Crystals: Beyond Mean-Field Theory
• Plasmonic metamaterial time crystal
• Fock space prethermalization and time-crystalline order on a quantum processor
• Nonlinear magnetization dynamics as a route to nonreciprocal phases, spin superfluidity, and analogue gravity
• Tunable quantum Mpemba effect in long-range interacting systems
• Localized structures in two-field systems: exact solutions in the presence of Lorentz symmetry breaking and explicit connection with geometric constraints
• Steering spin fluctuations in lattice systems via two-tone Floquet engineering
• Observation of Discrete Time Quasicrystal in Rydberg Atomic Gases
• Observation of Moiré Time Crystal in Floquet-driven Rydberg Atomic Gases
• A model for intertwined orders in cuprates
• Quantum recurrences and the arithmetic of Floquet dynamics
• Nonreciprocal and Geometric Frustration in Dissipative Quantum Spins
• Heating suppression via two-rate random and quasiperiodic drive protocols
• Space-time crystals from particle-like topological solitons
• Eight-fold classification of superconducting orders
• Analytical solution of boundary time crystals via the superspin basis
• Quantum sensing with ultracold simulators in lattice and ensemble systems: a review
• Running Quantum Computers in Discovery Mode

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• A Brief History of Time Crystals
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• Formation of Tesseract Time Crystals on a Quantum Computer
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