Emergent Continuous Time Crystal in Dissipative Quantum Spin System without Driving
arXiv:2403.08476 · doi:10.1038/s42005-025-02040-1
Abstract
Time crystals are a nonequilibrium phase of matter that extend fundamental spontaneous symmetry breaking into the temporal dimension, typically requiring external driving for their realization. Here, we explore the nonequilibrium phase diagram of a two-dimensional dissipative Heisenberg spin system without external coherent or incoherent driving. Through numerical analysis of spin dynamics, we identify nonstationary steady states, some of which are limit cycles with persistent periodic oscillations, while others exhibit chaotic, aperiodic behavior. The emergence of limit cycle steady states breaks the continuous time-translation symmetry of this time-independent many-body system, classifying them as continuous time crystals. We further validate these oscillatory behaviors by testing their stability against local perturbations and assess the robustness of the emergent continuous time crystals by introducing isotropic Gaussian white noise. This work provides insights into the intricate interplay between the dissipation and spin interaction, and opens possibilities for realizing dissipation-induced, heating-immune time crystals.
14 pages, 9 figures
References in corpus (100)
- The density-matrix renormalization group
- Observation of a Discrete Time Crystal
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- 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
- Programmable Quantum Simulations of Spin Systems with Trapped Ions
- Demonstration of a small programmable quantum computer with atomic qubits
- Discrete time crystals: rigidity, criticality, and realizations
- Time crystals: a review
- Absence of Quantum Time Crystals
- Dissipative production of a maximally entangled steady state
- Classical Time Crystals
- Stabilizing entanglement autonomously between two superconducting qubits
- Observation of Time-Crystalline Eigenstate Order on a Quantum Processor
- Modeling spontaneous breaking of time-translation symmetry
- Non-stationary coherent quantum many-body dynamics through dissipation
- Boundary time crystals
- Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
- Impossibility of Spontaneously Rotating Time-Crystals: A No-Go Theorem
- Observation of Discrete-Time-Crystal Signatures in an Ordered Dipolar Many-Body System
- Observation of a dissipative time crystal
- Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
- Simulation methods for open quantum many-body systems
- Floquet time crystal in the Lipkin-Meshkov-Glick model
- Observation of a prethermal discrete time crystal
- Fast and Unconditional All-Microwave Reset of a Superconducting Qubit
- Observation of a continuous time crystal
- Observation of time quasicrystal and its transition to superfluid time crystal
- Antiferromagnetic phase transition in a nonequilibrium lattice of Rydberg atoms
- Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems
- Observation of a many-body-localized discrete time crystal with a programmable spin-based quantum simulator
- Steady-state phases and tunneling-induced instabilities in the driven-dissipative Bose-Hubbard model
- Unconventional magnetism via optical pumping of interacting spin systems
- Colloquium: Quantum and Classical Discrete Time Crystals
- Stabilizing Open Quantum Systems by Markovian Reservoir Engineering
- Cluster mean-field approach to the steady-state phase diagram of dissipative spin systems
- Photon solid phases in driven arrays of nonlinearly coupled cavities
- Space-time crystals of trapped ions
- Temporal order in periodically driven spins in star-shaped clusters
- Dissipation Induced Structural Instability and Chiral Dynamics in a Quantum Gas
- Discrete time crystals in the absence of manifest symmetries or disorder in open quantum systems
- Scalable global entangling gates on arbitrary ion qubits
- Dicke time crystals in driven-dissipative quantum many-body systems
- Quantum Time Crystals from Hamiltonians with Long-Range Interactions
- Quantum critical regime in a quadratically-driven nonlinear photonic lattice
- Matrix product solutions of boundary driven quantum chains
- Synchronizing the Smallest Possible System
- Quantum Synchronization Blockade: Energy Quantization hinders Synchronization of Identical Oscillators
- Corner space renormalization method for driven-dissipative 2D correlated systems
- Limit cycle phase in driven-dissipative spin systems
- Floquet time crystals in clock models
- Emergent limit cycles and time crystal dynamics in an atom-cavity system
- Observation of quantum phase synchronization in spin-1 atoms
- Time crystals: can diamagnetic currents drive a charge density wave into rotation?
- A dissipative time crystal in an asymmetric non-linear photonic dimer
- P NMR study of discrete time-crystalline signatures in an ordered crystal of ammonium dihydrogen phosphate
- On time crystallinity in dissipative Floquet systems
- Shattered Time: Can a Dissipative Time Crystal Survive Many-Body Correlations?
- Self-oscillating pump in a topological dissipative atom-cavity system
- Classical Prethermal Phases of Matter
- Exotic attractors of the non-equilibrium Rabi-Hubbard model
- Defining Time Crystals via Representation Theory
- Driven Bose-Hubbard dimer under nonlocal dissipation: A bistable time crystal
- Collective phases of strongly interacting cavity photons
- Floquet prethermalization in periodically driven classical spin systems
- Time crystallinity in open quantum systems
- Floquet Phases of Matter via Classical Prethermalization
- Condensed Matter Physics in Time Crystals
- Observing quantum synchronization blockade in circuit quantum electrodynamics
- Boundary time crystals in collective -level systems
- P-band induced self-organization and dynamics with repulsively driven ultracold atoms in an optical cavity
- Measurement Induced Continuous Time Crystals
- Optimal synchronization deep in the quantum regime: resource and fundamental limit
- Synchronization in two-level quantum systems
- Phases of driven two-level systems with nonlocal dissipation
- Dissipative time crystals with long-range Lindbladians
- Comments on boundary driven open XXZ chain: asymmetric driving and uniqueness of steady states
- Observing Quantum Synchronization of a Single Trapped-Ion Qubit
- Realization of a periodically driven open three-level Dicke model
- Mode softening in time-crystalline transitions of open quantum systems
- Perspective on Reversible to Irreversible Transitions in Periodic Driven Many Body Systems and Future Directions For Classical and Quantum Systems
- Tunable space-time crystal in room-temperature magnetodielectrics
- Quantum correlations and limit cycles in the driven-dissipative Heisenberg lattice
- Phase Diagram of Rydberg atoms in a nonequilibrium optical lattice
- Criticality and Phase Classification for Quadratic Open Quantum Many-Body Systems
- Dissipation induced extended-localized transition
- Chimera Time-Crystalline order in quantum spin networks
- Quantum non-stationary phenomena of spin systems in collision models
- Synchronization of persistent oscillations in spin systems with non-local dissipations
- Lyapunov exponents of quantum trajectories beyond continuous measurements
- Many-body radiative decay in strongly interacting Rydberg ensembles
- Driven-dissipative Rydberg blockade in optical lattices
- Topologically protected boundary discrete time crystal for a solvable model
- Crossover from the discontinuous to continuous phase transitions in dissipative spin system with collective decay
- Steady states of a driven dissipative dipolar XXZ chain
- Spontaneous symmetry breaking in non-steady modes of open quantum many-body systems
- Dephasing-induced growth of discrete crystalline order in spin networks
- Absence of Correlations in Dissipative Interacting Qubits: a No-Go Theorem