Long-lived coherence in driven spin systems: from two to infinite spatial dimensions

Abstract

Long-lived coherences, emerging under periodic pulse driving in the disordered ensembles of strongly interacting spins, offer immense advantages for future quantum technologies, but the physical origin and the key properties of this phenomenon remain poorly understood. We theoretically investigate this effect in ensembles of different dimensionality, and predict existence of the long-lived coherences in two-dimensional and infinite-dimensional (where every spin is coupled to all others) systems, which are of particular importance for quantum sensing and quantum information processing. We explore the transition from two to infinite dimensions, and show that the long-time coherence dynamics in all dimensionalities is qualitatively similar, although the short-time behavior is drastically different, exhibiting dimensionality-dependent singularity. Our study establishes the common physical origin of the long-lived coherences in different dimensionalities, and suggests that this effect is a generic feature of the strongly coupled spin systems with positional disorder. Our results lay out foundation for utilizing the long-lived coherences in a range of application, from quantum sensing with two-dimensional spin ensembles, to quantum information processing with the infinitely-dimensional spin systems in the cavity-QED settings.

arXiv comment11 pages, 9 figures + Appendix

References in corpus (44)

• 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
• Many-body localization in periodically driven systems
• Time crystals: a review
• Exponentially slow heating in periodically driven many-body systems
• High sensitivity magnetic imaging using an array of spins in diamond
• Observation of Discrete-Time-Crystal Signatures in an Ordered Dipolar Many-Body System
• Equilibration and Order in Quantum Floquet Matter
• Many-body Localization with Dipoles
• Electron-phonon processes of the silicon-vacancy centre in diamond
• Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
• Floquet time crystal in the Lipkin-Meshkov-Glick model
• Origins of diamond surface noise probed by correlating single spin measurements with surface spectroscopy
• Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs
• A theory of many-body localization in periodically driven systems
• 1D Many-body localized Floquet systems II: Symmetry-Broken phases
• Temporal order in periodically driven spins in star-shaped clusters
• An efficient scheme for numerical simulations of the spin-bath decoherence
• Hybrid nanodiamond-YIG systems for efficient quantum information processing and nanoscale sensing
• Discrete time crystals in the absence of manifest symmetries or disorder in open quantum systems
• Critical Time Crystals in Dipolar Systems
• Topical Review: Spins and mechanics in diamond
• Prethermalization and Thermalization in Isolated Quantum Systems
• Dicke time crystals in driven-dissipative quantum many-body systems
• Clean Floquet Time Crystals: Models and Realizations in Cold Atoms
• Floquet time crystals in clock models
• Higher-order and fractional discrete time crystals in clean long-range interacting systems
• Anomalous Floquet Insulators
• The fate of a discrete time crystal in an open system
• Asymptotic Prethermalization in Periodically Driven Classical Spin Chains
• Multi-spin dynamics of the solid-state NMR Free Induction Decay
• Coherent Coupling of Remote Spin Ensembles via a Cavity Bus
• Prethermalization without temperature
• Discrete time crystal in globally driven interacting quantum systems without disorder
• Anomalies in the NMR of Silicon: Unexpected Spin Echoes in a Dilute Dipolar Solid
• Extending the Quantum Coherence of a Near-Surface Qubit by Coherently Driving the Paramagnetic Surface Environment
• Engineering electron-phonon coupling of quantum defects to a semi-confocal acoustic resonator
• The Intrinsic Origin of Spin Echoes in Dipolar Solids Generated by Strong Pi Pulses
• Infrared laser magnetometry with a NV doped diamond intracavity etalon
• Realizing time crystals in discrete quantum few-body systems
• Controlling coherence using the internal structure of hard pi pulses
• Density and $T_1$ of surface and bulk spins in diamond in high magnetic field gradients

Cited by in corpus (6)

• Quasi-Floquet prethermalization in a disordered dipolar spin ensemble in diamond
• Roadmap on Nanoscale Magnetic Resonance Imaging
• Decoherence induced by a sparse bath of two-level fluctuators: peculiar features of $1/f$ noise in high-quality qubits
• Spin coherence in strongly coupled spin baths in quasi-two-dimensional layers
• Clean two-dimensional Floquet time-crystal
• Characterizing the magnetic noise power spectrum of dark spins in diamond