An eternal discrete time crystal beating the Heisenberg limit
arXiv:1907.00474 · doi:10.1103/PhysRevResearch.2.033070
Abstract
A discrete time crystal (DTC) repeats itself with a rigid rhythm, mimicking a ticking clock set by the interplay between its internal structures and an external force. DTCs promise profound applications in precision time-keeping and other quantum techniques. However, it has been facing a grand challenge of thermalization. The periodic driving supplying the power may ultimately bring DTCs to thermal equilibrium and destroy their coherence. Here, we show that an all-to-all interaction delivers a DTC that evades thermalization and maintains quantum coherence and quantum synchronization regardless of spatial inhomogeneities in the driving field and the environment. Moreover, the sensitivity of this DTC scales with the total particle number to the power of three over two, realizing a quantum device of measuring the driving frequency or the interaction strength beyond the Heisenberg limit. Our work paves the way for designing novel non-equilibrium phases with long coherence time to advance quantum metrology.
6 pages (4 figures) + 5 pages (4 figures)
References in corpus (17)
- Cold atoms in cavity-generated dynamical optical potentials
- Equilibrium states of generic quantum systems subject to periodic driving
- Time crystals: a review
- Absence of Quantum Time Crystals
- Quantum enhanced measurements without entanglement
- Generalized Limits for Single-Parameter Quantum Estimation
- Periodically driven ergodic and many-body localized quantum systems
- Discrete Time Crystals
- Observation of Discrete-Time-Crystal Signatures in an Ordered Dipolar Many-Body System
- Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
- Floquet time crystal in the Lipkin-Meshkov-Glick model
- Imaging optical frequencies with 100 Hz precision and 1.1 m resolution
- Temporal order in periodically driven spins in star-shaped clusters
- Clean Floquet Time Crystals: Models and Realizations in Cold Atoms
- A nonlinear Ramsey interferometer operating beyond the Heisenberg limit
- Quantum metrology with a quantum-chaotic sensor
- Quantum limited measurements of atomic scattering properties
Cited by in corpus (21)
- Colloquium: Quantum and Classical Discrete Time Crystals
- Review: Quantum Metrology and Sensing with Many-Body Systems
- Stark time crystals: Symmetry breaking in space and time
- Discrete Time Crystal Phase as a Resource for Quantum Enhanced Sensing
- Discrete time crystals enforced by Floquet-Bloch scars
- Prethermal Floquet time crystals in chiral multiferroic chains and applications as quantum sensors of AC fields
- Dynamics of inhomogeneous spin ensembles with all-to-all interactions: breaking permutational invariance
- Unified Light-Matter Floquet Theory and its Application to Quantum Communication
- Analytical theory of cat scars with discrete time crystalline dynamics in Floquet systems
- Thermal melting of discrete time crystals: a dynamical phase transition induced by thermal fluctuations
- Overcoming Quantum Metrology Singularity through Sequential Measurements
- Sensing with discrete time crystals
- Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain Without Disorder
- Quantum sensing with ultracold simulators in lattice and ensemble systems: a review
- Time-tronics: from temporal printed circuit board to quantum computer
- Quasi-Discrete Time Crystals in the quasiperiodically driven Lipkin-Meshkov-Glick model
- Stability of the discrete time-crystalline order in spin-optomechanical and open cavity QED systems
- Information scrambling and entanglement dynamics in Floquet Time Crystals
- Discrete time crystal for periodic-field sensing with quantum-enhanced precision
- Topological energy pumping in a quasi-periodically driven four-level system
- Discrete time crystal order in spin chains enabled by Floquet flat bands