Programmable time crystals from higher-order packing fields
arXiv:2406.08581 · doi:10.1103/PhysRevE.111.034119
Abstract
Time crystals are many-body systems that spontaneously break time-translation symmetry, and thus exhibit long-range spatiotemporal order and robust periodic motion. Recent results have demonstrated how to build time-crystal phases in driven diffusive fluids using an external packing field coupled to density fluctuations. Here we exploit this mechanism to engineer and control on-demand custom continuous time crystals characterized by an arbitrary number of rotating condensates, which can be further enhanced with higher-order modes. We elucidate the underlying critical point, as well as general properties of the condensates density profiles and velocities, demonstrating a scaling property of higher-order traveling condensates in terms of first-order ones. We illustrate our findings by solving the hydrodynamic equations for various paradigmatic driven diffusive systems, obtaining along the way a number of remarkable results, e.g. the possibility of explosive time crystal phases characterized by an abrupt, first-order-type transition. Overall, these results demonstrate the versatility and broad possibilities of this promising route to time crystals.
References in corpus (54)
- Observation of a Discrete Time Crystal
- Observation of discrete time-crystalline order in a disordered dipolar many-body system
- Floquet Time Crystals
- Quantum Time Crystals
- Non equilibrium steady states: fluctuations and large deviations of the density and of the current
- Discrete time crystals: rigidity, criticality, and realizations
- Time crystals: a review
- Absence of Quantum Time Crystals
- Classical Time Crystals
- Observation of Time-Crystalline Eigenstate Order on a Quantum Processor
- Non-stationary coherent quantum many-body dynamics through dissipation
- 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
- Macroscopic current fluctuations in stochastic lattice gases
- Equilibration and Order in Quantum Floquet Matter
- Observation of a dissipative time crystal
- Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
- Distribution of current in non-equilibrium diffusive systems and phase transitions
- Explosive first-order transition to synchrony in networked chaotic oscillators
- Observation of a prethermal discrete time crystal
- Observation of a continuous time crystal
- Observation of time quasicrystal and its transition to superfluid time crystal
- Observation of a many-body-localized discrete time crystal with a programmable spin-based quantum simulator
- Observation of a space-time crystal in a superfluid quantum gas
- Non equilibrium current fluctuations in stochastic lattice gases
- Discrete time crystals in the absence of manifest symmetries or disorder in open quantum systems
- Classical Discrete Time Crystals
- Quantum Time Crystals from Hamiltonians with Long-Range Interactions
- Spontaneous Symmetry Breaking at the Fluctuating Level
- The Physicist's Companion to Current Fluctuations: One-Dimensional Bulk-Driven Lattice Gases
- Emergent limit cycles and time crystal dynamics in an atom-cavity system
- Dynamical symmetry breaking and phase transitions in driven diffusive systems
- Time crystals in periodically driven systems
- Photonic Metamaterial Analogue of a Continuous Time Crystal
- Time crystals: can diamagnetic currents drive a charge density wave into rotation?
- Classical many-body time crystals
- Dynamical phase transition for current statistics in a simple driven diffusive system
- On time crystallinity in dissipative Floquet systems
- Thermodynamics of currents in nonequilibrium diffusive systems: theory and simulation
- Test of the Additivity Principle for Current Fluctuations in a Model of Heat Conduction
- Exact solution of a boundary time-crystal phase transition: time-translation symmetry breaking and non-Markovian dynamics of correlations
- Singularities in large deviation functions
- Nonequilibrium many-body quantum engine driven by time-translation symmetry breaking
- Classical Stochastic Discrete Time Crystals
- Building continuous time crystals from rare events
- Order and symmetry-breaking in the fluctuations of driven systems
- Realization of a periodically driven open three-level Dicke model
- Sampling rare events across dynamical phase transitions
- Universality in dynamical phase transitions of diffusive systems
- Dynamics of Repulsion Processes
- Single-file dynamics of colloids in circular channels: time scales, scaling laws and their universality
- Dynamical equivalence between Kuramoto models with first- and higher-order coupling
- Spectral signatures of symmetry-breaking dynamical phase transitions