Emergence and Dynamical Stability of Charge Time-Crystal in a Current-Carrying Quantum Dot Simulator
arXiv:2205.06441 · doi:10.1021/acs.nanolett.2c00976
Abstract
Periodically-driven open quantum systems that never thermalize exhibit a discrete time-crystal behavior, a non-equilibrium quantum phenomenon that has shown promise in quantum information processing applications. Measurements of time-crystallinity are currently limited to (magneto-) optical experiments in atom-cavity systems and spin-systems making it an indirect measurement. We theoretically show that time-crystallinity can be measured directly in the charge-current from a spin-less Hubbard ladder, which can be simulated on a quantum-dot array. We demonstrate that one can dynamically tune the system out and then back into the time-crystal phase, proving its robustness against external forcings. These findings motivate further theoretical and experimental efforts to simulate the time-crystal phenomena in current-carrying nano-scale systems.
Accepted for publications in Nano Letters
References in corpus (12)
- Semiconductor Spin Qubits
- Observation of Time-Crystalline Eigenstate Order on a Quantum Processor
- Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
- Observation of a many-body-localized discrete time crystal with a programmable spin-based quantum simulator
- Frequency-selective single photon detection using a double quantum dot
- A Brief History of Time Crystals
- Quantum simulation of Fermi-Hubbard models in semiconductor quantum dot arrays
- Exact solution of a boundary time-crystal phase transition: time-translation symmetry breaking and non-Markovian dynamics of correlations
- Quantum interference and phonon-mediated back-action in lateral quantum dot circuits
- Site-selective quantum control in an isotopically enriched 28Si/SiGe quadruple quantum dot
- Dephasing-assisted transport in linear triple quantum dots
- Criticality and Rigidity of Dissipative Discrete Time Crystals in Solids
Cited by in corpus (11)
- Experimental Realization of Discrete Time Quasi-Crystals
- 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
- Transport in a periodically driven tilted lattice via the extended reservoir approach: Stability criterion for recovering the continuum limit
- Protecting coherence from the environment via Stark many-body localization in a Quantum-Dot Simulator
- Time Crystals from single-molecule magnet arrays
- Quantum transport under oscillatory drive with disordered amplitude
- Effects of leakage on the realization of a discrete time crystal in a chain of singlet-triplet qubits
- Approaching the scaling limit of transport through lattices with dephasing
- Metastable discrete time-crystal resonances in a dissipative central spin system
- Extended degenerate perturbation theory for the Floquet-Hilbert space