Critical quantum thermometry and its feasibility in spin systems
arXiv:2204.02734 · doi:10.22331/q-2022-09-19-808
Abstract
In this work, we study temperature sensing with finite-sized strongly correlated systems exhibiting quantum phase transitions. We use the quantum Fisher information (QFI) approach to quantify the sensitivity in the temperature estimation, and apply a finite-size scaling framework to link this sensitivity to critical exponents of the system around critical points. We numerically calculate the QFI around the critical points for two experimentally-realizable systems: the spin-1 Bose-Einstein condensate and the spin-chain Heisenberg XX model in the presence of an external magnetic field. Our results confirm finite-size scaling properties of the QFI. Furthermore, we discuss experimentally-accessible observables that (nearly) saturate the QFI at the critical points for these two systems.
References in corpus (13)
- Quantum metrology from a quantum information science perspective
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- Quantum speed limit for physical processes
- Quantum criticality as a resource for quantum estimation
- Individual quantum probes for optimal thermometry
- Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
- Mixed-state fidelity and quantum criticality at finite temperature
- Quantum Non-Demolition Detection of Strongly Correlated Systems
- Quantum metrology in Lipkin-Meshkov-Glick critical systems
- Bures metric over thermal state manifolds and quantum criticality
- Existence of temperature on the nanoscale
- Spatial Kibble-Zurek mechanism through susceptibilities: the inhomogeneous quantum Ising model case
- Exploring the thermodynamics of spin-1 Rb Bose Gases with synthetic magnetization