Discrete Time Quasi-Crystals
arXiv:1807.02105 · doi:10.1103/PhysRevB.99.220303
Abstract
Between space crystals and amorphous materials there exists a third class of aperiodic structures which lack translational symmetry but reveal long-range order. They are dubbed quasi-crystals and their formation, similarly as the formation of space crystals, is related to spontaneous breaking of translational symmetry of underlying Hamiltonians. Here, we investigate spontaneous emergence of quasi-crystals in periodically driven systems. We consider a quantum many-body system which is driven by a harmonically oscillating force and show that interactions between particles result in spontaneous self-reorganization of the motion of a quantum many-body system and in the formation of a quasi-crystal structure in time.
arXiv commentVersion accepted for publication in Phys. Rev. B as a Rapid Communication
References in corpus (59)
- Feshbach Resonances in Ultracold Gases
- Observation of a Discrete Time Crystal
- Observation of discrete time-crystalline order in a disordered dipolar many-body system
- Floquet Time Crystals
- On the phase structure of driven quantum systems
- Quantum Time Crystals
- Discrete time crystals: rigidity, criticality, and realizations
- Time crystals: a review
- Absence of Quantum Time Crystals
- Non-standard Hubbard models in optical lattices: a review
- Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional
- Classical Time Crystals
- Modeling spontaneous breaking of time-translation symmetry
- Boundary time crystals
- Impossibility of Spontaneously Rotating Time-Crystals: A No-Go Theorem
- Observation of Discrete-Time-Crystal Signatures in an Ordered Dipolar Many-Body System
- Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
- Floquet time crystal in the Lipkin-Meshkov-Glick model
- Observation of time quasicrystal and its transition to superfluid time crystal
- Space-time crystals of trapped ions
- Temporal order in periodically driven spins in star-shaped clusters
- Non-dispersive wave packets in periodically driven quantum systems
- Matter-wave diffraction from a quasicrystalline optical lattice
- Critical Time Crystals in Dipolar Systems
- Clean Floquet Time Crystals: Models and Realizations in Cold Atoms
- Coherent Evolution of Bouncing Bose-Einstein Condensates
- Simulation of non-Abelian braiding in Majorana time crystals
- Phase Space Crystals: A New Way to Create a Quasienergy Band Structure
- Logarithmically Slow Relaxation in Quasi-Periodically Driven Random Spin Chains
- P NMR study of discrete time-crystalline signatures in an ordered crystal of ammonium dihydrogen phosphate
- Shattered Time: Can a Dissipative Time Crystal Survive Many-Body Correlations?
- The fate of a discrete time crystal in an open system
- Time crystal platform: from quasi-crystal structures in time to systems with exotic interactions
- Time crystals: analysis of experimental conditions
- Dynamical quantum phase transitions in discrete time crystals
- Discrete time crystal in globally driven interacting quantum systems without disorder
- Bose-Einstein condensates in a one-dimensional double square well: Analytical solutions of the Nonlinear Schrödinger equation and tunneling splittings
- Time crystal behavior of excited eigenstates
- Prethermal time crystals in a one-dimensional periodically driven Floquet system
- Anderson localization and Mott insulator phase in the time domain
- Period-doubling in period- steady states
- Time-quasiperiodic topological superconductors with Majorana Multiplexing
- Integrability and chemical potential in the (3+1)-dimensional Skyrme model
- Anderson localization in the time domain
- Many-body localization caused by temporal disorder
- Three-dimensional localized-delocalized Anderson transition in the time domain
- Floquet Many-body Engineering: Topological and Many-body Physics in Phase Space Lattices
- Symmetry-breaking dynamics of the finite-size Lipkin-Meshkov-Glick model near ground state
- Dynamical quantum phase transitions in systems with broken continuous time and space translation symmetries
- Quantum phase transition and critical fluctuations of an attractive Bose gas in a double well potential
- Fast dynamics for atoms in optical lattices
- Spatial-Translation-Induced Discrete Time Crystals
- Analytic topologically non-trivial solutions of the (3+1)-dimensional gauged Skyrme model and extended duality
- (Quasi)Periodic revivals in periodically driven interacting quantum systems
- Synthesizing Lattice Structure in Phase Space
- Effective Long-distance Interaction from Short-distance Interaction in Periodically Driven One-dimensional Classical System
- Cosmological Time Crystal: Cyclic Universe with a small in a toy model approach
- Quantum Time Crystal By Decoherence: Proposal With Incommensurate Charge Density Wave Ring
- Time Quasilattices in Dissipative Dynamical Systems
Cited by in corpus (58)
- Colloquium: Quantum and Classical Discrete Time Crystals
- Quantum Time Crystals from Hamiltonians with Long-Range Interactions
- All-Optical Dissipative Discrete Time Crystals
- Period- discrete time crystals and quasicrystals with ultracold bosons
- Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically-driven systems
- Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models
- From a continuous to a discrete time crystal in a dissipative atom-cavity system
- Time crystals in a shaken atom-cavity system
- Analytic approaches to periodically driven closed quantum systems: Methods and Applications
- Condensed Matter Physics in Time Crystals
- Floquet Time Spirals and Stable Discrete Time Quasi-Crystals in Quasi-Periodically Driven Quantum Many-Body Systems
- Kohn-Luttinger mechanism driven exotic topological superconductivity on the Penrose lattice
- Classical approaches to prethermal discrete time crystals in one, two, and three dimensions
- Emergent parametric resonances and time-crystal phases in driven BCS systems
- The fine structure of heating in a quasiperiodically driven critical quantum system
- To heat or not to heat: time crystallinity and finite-size effects in clean Floquet systems
- Creating big time crystals with ultracold atoms
- Rigorous Bounds on the Heating Rate in Thue-Morse Quasiperiodically and Randomly Driven Quantum Many-Body Systems
- Mode softening in time-crystalline transitions of open quantum systems
- Signatures of discrete time-crystallinity in transport through an open Fermionic chain
- Phase diagram and optimal control for n-tupling discrete time crystal
- High-Angular-Momentum Topological Superconductivity in the Largest-Angle Twisted Homo-bilayer Systems
- Six-dimensional time-space crystalline structures
- Dynamical localization and slow dynamics in quasiperiodically-driven quantum systems
- Emergence and Dynamical Stability of Charge Time-Crystal in a Current-Carrying Quantum Dot Simulator
- A Decade of Time Crystals: Quo Vadis?
- Anharmonic classical time crystals: A coresonance pattern formation mechanism
- Lack of a genuine time crystal in a chiral soliton model
- Many-Body Effects and Quantum Fluctuations for Discrete Time Crystals in Bose-Einstein Condensates
- Nonequilibrium transition between dissipative time crystals
- Nematic Superconductivity and Its Critical Vestigial Phases in the Quasi-crystal
- Topological and dynamical features of periodically driven spin ladders
- Hilbert-Space Ergodicity in Driven Quantum Systems: Obstructions and Designs
- Nonlocal discrete time crystals in periodically driven surface codes
- Controlled preparation of phases in two-dimensional time crystals
- Criticality and Rigidity of Dissipative Discrete Time Crystals in Solids
- Inseparable time-crystal geometries on the Möbius strip
- Anderson Molecules
- Phase Transitions in Quasi-Periodically Driven Quantum Critical Systems: Analytical Results
- Unconventional superfluidity of superconductivity on Penrose lattice
- Classical Phase Space Crystals in an Open Environment
- Basis for time crystal phenomena in ultra-cold atoms bouncing on an oscillating mirror
- Unveiling clean two-dimensional discrete time crystals on a digital quantum computer
- Discrete time-crystalline order in Bose-Hubbard model with dissipation
- Emergent time crystal from a fractional Langevin equation with white and colored noise
- Torus bifurcation of a dissipative time crystal
- Discrete time crystal made of topological edge magnons
- From time crystals to time quasicrystals: Exploring quasiperiodic phases in transverse field Ising chains
- Superconvergence of Topological Entropy in the Symbolic Dynamics of Substitution Sequences
- Space-time quasicrystals in Bose-Einstein condensates
- Non-stationarity and Dissipative Time Crystals: Spectral Properties and Finite-Size Effects
- Condensed matter physics in big discrete time crystals
- Time Glasses: Symmetry Broken Chaotic Phase with a Finite Gap
- Emergent time crystals from phase-space noncommutative quantum mechanics
- Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain
- Formation of Complex Discrete Time Crystals with Ultracold Atoms
- Quantum repetition codes as building blocks of large period discrete time crystals
- Discrete time crystal for periodic-field sensing with quantum-enhanced precision