Signatures of discrete time-crystallinity in transport through an open Fermionic chain
arXiv:2107.04214 · doi:10.1038/s42005-022-00925-z
Abstract
Discrete time-crystals are periodically driven quantum many-body systems with broken discrete-time translational symmetry, a non-equilibrium steady state representing self-organization of motion of quantum particles. Observations of discrete time-crystalline order are currently limited to magneto-optical experiments. Crucially, it was never observed in a transport experiment performed on systems connected to external electrodes. Here we demonstrate that both discrete time-crystal and quasi-crystal survive a very general class of environment corresponding to single-particle gain and loss through system-electrode coupling over experimentally relevant timescales. Using dynamical symmetries, we analytically identify the conditions for observing time-crystalline behavior in a periodically driven open Fermi-Hubbard chain attached to electrodes. Remarkably, the spin-polarized transport current directly manifests the existence of a time-crystalline behavior. Our findings are verifiable in present-day experiments with quantum-dot arrays and Fermionic ultra-cold atoms in optical lattices.
arXiv commentSubmitted for publication, comments are welcome
References in corpus (56)
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- 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
- Quantum CNOT Gate for Spins in Silicon
- Fermi-Hubbard physics with atoms in an optical lattice
- Time crystals: a review
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- Observation of Time-Crystalline Eigenstate Order on a Quantum Processor
- Quantum simulation of a Fermi-Hubbard model using a semiconductor quantum dot array
- Non-stationary coherent quantum many-body dynamics through dissipation
- Boundary time crystals
- Conduction of Ultracold Fermions Through a Mesoscopic Channel
- Measures of quantum synchronization in continuous variable systems
- Shuttling a single charge across a one-dimensional array of silicon quantum dots
- Equilibration and Order in Quantum Floquet Matter
- Observation of a dissipative time crystal
- Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
- Symmetries and selection rules in Floquet systems: application to harmonic generation in nonlinear optics
- Observation of a prethermal discrete time crystal
- Towards a theory of metastability in open quantum dynamics
- Observation of a space-time crystal in a superfluid quantum gas
- Temporal order in periodically driven spins in star-shaped clusters
- Frequency-selective single photon detection using a double quantum dot
- Quantum transport in ultracold atoms
- 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
- Dicke time crystals in driven-dissipative quantum many-body systems
- A Brief History of Time Crystals
- Experimental observation of a large ac-spin Hall effect
- Out of equilibrium open quantum systems: a comparison of approximate Quantum Master Equation approaches with exact results
- The isolated Heisenberg magnet as a quantum time crystal
- Dissipation Induced Nonstationarity in a Quantum Gas
- Floquet time crystals in clock models
- Time crystals in periodically driven systems
- Period- discrete time crystals and quasicrystals with ultracold bosons
- Quantum Synchronisation Enabled by Dynamical Symmetries and Dissipation
- The fate of a discrete time crystal in an open system
- Discrete Time Quasi-Crystals
- A 2x2 quantum dot array with controllable inter-dot tunnel couplings
- Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models
- From a continuous to a discrete time crystal in a dissipative atom-cavity system
- AC Josephson effect between two superfluid time crystals
- Exact solution of a boundary time-crystal phase transition: time-translation symmetry breaking and non-Markovian dynamics of correlations
- Site-selective quantum control in an isotopically enriched 28Si/SiGe quadruple quantum dot
- Time crystallinity in open quantum systems
- Real space observation of magnon interaction with driven space-time crystals
- Floquet Time Spirals and Stable Discrete Time Quasi-Crystals in Quasi-Periodically Driven Quantum Many-Body Systems
- Simulating complex quantum networks with time crystals
- On the broken time translation symmetry in macroscopic systems: precessing states and off-diagonal long-range order
- Rigorous bounds on dynamical response functions and time-translation symmetry breaking
- Floquet-Enhanced Spin Swaps
- Stabilization and manipulation of multispin states in quantum-dot time crystals with Heisenberg interactions
- Protecting Quantum Information in Quantum Dot Spin Chains by Driving Exchange Interactions Periodically
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- Continuous sensing and parameter estimation with the boundary time-crystal
- Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
- Dissipative time crystals with long-range Lindbladians
- Quantum trajectories of dissipative time-crystals
- Emergence and Dynamical Stability of Charge Time-Crystal in a Current-Carrying Quantum Dot Simulator
- Topologically protected boundary discrete time crystal for a solvable model
- Impact of dephasing on non-equilibrium steady-state transport in fermionic chains with long-range hopping
- Non-Hermitian quantum gases: a platform for imaginary time crystals
- Transport in a periodically driven tilted lattice via the extended reservoir approach: Stability criterion for recovering the continuum limit
- Prolonging a discrete time crystal by quantum-classical feedback
- Opening Krylov space to access all-time dynamics via dynamical symmetries
- Time Crystals from single-molecule magnet arrays
- Protecting coherence from the environment via Stark many-body localization in a Quantum-Dot Simulator
- Effects of leakage on the realization of a discrete time crystal in a chain of singlet-triplet qubits
- Metastable discrete time-crystal resonances in a dissipative central spin system
- Approaching the scaling limit of transport through lattices with dephasing
- Extended degenerate perturbation theory for the Floquet-Hilbert space