Thermometric machine for ultraprecise thermometry of low temperatures
arXiv:2108.10469
Abstract
Thermal equilibrium states are exponentially hard to distinguish at very low temperatures, making equilibrium quantum thermometry in this regime a formidable task. We present a thermometric scheme that circumvents this limitation, by using a two-level probe that does not thermalize with the sample whose temperature is measured. This is made possible thanks to a suitable interaction that couples the probe to the sample and to an auxiliary thermal bath known to be at a higher temperature. Provided a reasonable upper bound on the temperature of the sample, the resulting 'thermometric machine' drives the probe towards a steady state whose signal-to-noise ratio can achieve values as high as . We also characterize the transient state of the probe and numerically illustrate an extreme reduction in the number of measurements to attain a given precision, as compared to optimal measurements on a thermalized probe.
arXiv comment5 + 7 pages, 5 figures. Introduction edited to make more precise the definition of gapless systems. New analytical result on the heating of the sample. Comments are welcome!
References in corpus (33)
- Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
- Individual quantum probes for optimal thermometry
- Quantum-enhanced absorption refrigerators
- Quantum collision models: open system dynamics from repeated interactions
- The Quantum Absorption Refrigerator
- Nanoscale thermal imaging of dissipation in quantum systems
- Thermometry in the quantum regime: Recent theoretical progress
- Performance bound for quantum absorption refrigerators
- Quantum Limits of Thermometry
- Single-qubit thermometry
- Quantum Thermal Machine as a Thermometer
- In situ thermometry of a cold Fermi gas via dephasing impurities
- Using polarons for sub-nK quantum non-demolition thermometry in a Bose-Einstein condensate
- Local quantum thermal susceptibility
- Collisional quantum thermometry
- Qubit thermometry for micromechanical resonators
- Qubit-assisted thermometry of a quantum harmonic oscillator
- Quantum thermometry by single-qubit dephasing
- Probing the temperature of cold many-body quantum systems
- Fundamental limits on low-temperature quantum thermometry with finite resolution
- Achieving the Landau bound to precision of quantum thermometry in systems with vanishing gap
- Bridging thermodynamics and metrology in non-equilibrium Quantum Thermometry
- Two-qubit quantum probes for the temperature of an Ohmic environment
- Primary thermometry triad at 6 mK in mesoscopic circuits
- Tunnel-Junction Thermometry Down to Millikelvin Temperatures
- Optimal Quantum Thermometry with Coarse-grained Measurements
- Non-destructive selective probing of phononic excitations in a cold Bose gas using impurities
- Few-fermion thermometry
- Improved thermometry of low-temperature quantum systems by a ring-structure probe
- Surpassing the Thermal Cramer-Rao Bound with Collisional Thermometry
- Entanglement area law from specific heat capacity
- The Emergency of Pico-Kelvin Physics
- Catalytic transformations with finite-size environments: applications to cooling and thermometry