Autonomous quantum clocks using athermal resources
arXiv:2207.07909 · doi:10.1103/PhysRevResearch.5.043013
Abstract
Here we explore the possibility of precise time-keeping in quantum systems using athermal resources. We show that quantum measurement engineered reservoirs can be used as athermal resources to drive the ticks of a quantum clock. Two and three level quantum systems act as transducers in our model, converting the quantum measurement induced noise to produce a series of ticks. The ticking rate of the clock is maximized when the measured observable maximally non-commutes with the clock's Hamiltonian. We use the large deviation principle to characterize the statistics of observed ticks within a given time-period and show that it can be sub-Poissonian -- quantified by Mandel's Q parameter -- alluding to the quantum nature of the clock. We discuss the accuracy and efficiency of the clock, and extend our framework to include hybrid quantum clocks fueled by both measurements, and thermal resources. We make comparisons to relatable recent proposals for quantum clocks, and discuss alternate device implementations harvesting the quantum measurement engineered non-equilibrium conditions, beyond the clock realization.
arXiv comment13 pages, 5 figures
References in corpus (44)
- The large deviation approach to statistical mechanics
- Quantum Time Crystals
- A Straightforward Introduction to Continuous Quantum Measurement
- Enhancing the charging power of quantum batteries
- Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
- Time crystals: a review
- Quantacell: Powerful charging of quantum batteries
- Classical Time Crystals
- Quantum Clock Synchronization Based on Shared Prior Entanglement
- To catch and reverse a quantum jump mid-flight
- Continuous quantum measurement of a double dot
- Thermodynamics of Quantum Jump Trajectories
- Dissipative charging of a quantum battery
- Uncollapsing of a quantum state in a superconducting phase qubit
- The role of quantum measurement in stochastic thermodynamics
- Extracting work from quantum measurement in Maxwell demon engines
- Mapping the optimal route between two quantum states
- Quantum Measurement Cooling
- Quantum thermal absorption machines: refrigerators, engines and clocks
- Efficient Quantum Measurement Engine
- Autonomous quantum clocks: does thermodynamics limit our ability to measure time?
- How to project qubits faster using quantum feedback
- Single-Temperature Quantum Engine Without Feedback Control
- Quantum clocks observe classical and quantum time dilation
- Action principle for continuous quantum measurement
- Measurement driven single temperature engine
- Dynamics of a qubit while simultaneously monitoring its relaxation and dephasing
- Stochastic path integral formalism for continuous quantum measurement
- Quantum Flywheel
- Measuring the thermodynamic cost of timekeeping
- The thermodynamics of clocks
- Arrow of Time for Continuous Quantum Measurement
- Monitoring quantum Otto engines
- Anatomy of Fluorescence: Quantum trajectory statistics from continuously measuring spontaneous emission
- Efficiently Fuelling a Quantum Engine with Incompatible Measurements
- Fluctuation Theorems for Continuous Quantum Measurement and Absolute Irreversibility
- Continuous Measurement Boosted Adiabatic Quantum Thermal Machines
- Autonomous Temporal Probability Concentration: Clockworks and the Second Law of Thermodynamics
- Effect of Measurement Backaction on Quantum Clock Precision Studied with a Superconducting Circuit
- Stochastic Thermodynamic Cycles of a Mesoscopic Thermoelectric Engine
- Measuring Fluorescence to Track a Quantum Emitter's State: A Theory Review
- Autonomous Ticking Clocks from Axiomatic Principles
- Characterizing a statistical arrow of time in quantum measurement dynamics
- How to perform the coherent measurement of a curved phase space by continuous isotropic measurement. I. Spin and the Kraus-operator geometry of
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- Thermodynamic cost for precision of general counting observables
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