Non-equilibrium quantum probing through linear response
arXiv:2306.08500 · doi:10.1103/PhysRevResearch.6.013152
Abstract
The formalism of linear response theory can be extended to encompass physical situations where an open quantum system evolves towards a non-equilibrium steady-state. Here, we use the framework put forward by Konopik and Lutz [Phys. Rev. Research {\bf 1}, 033156 (2019)] to go beyond unitary perturbations of the dynamics. Considering an open system comprised of two coupled quantum harmonic oscillators, we study the system's response to unitary perturbations, affecting the Hamiltonian dynamics, as well as non-unitary perturbations, affecting the properties of the environment, e.g., its temperature and squeezing. We show that linear response, combined with a quantum probing approach, can effectively provide valuable quantitative information about the perturbation and characteristics of the environment, even in cases of non-unitary dynamics.
arXiv comment8 + 4 pages, 7 figures, RevTeX4-2 Close to published version in Phys. Rev. Research
References in corpus (22)
- Cavity Optomechanics
- Quantum metrology
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Optomechanical entanglement between a movable mirror and a cavity field
- Open Quantum Systems. An Introduction
- Fluctuation-Dissipation: Response Theory in Statistical Physics
- Fundamental aspects of steady-state conversion of heat to work at the nanoscale
- Individual quantum probes for optimal thermometry
- Fluctuation-Dissipation Theorem in Nonequilibrium Steady States
- A Geometric Perspective on Quantum Parameter Estimation
- Thermometry in the quantum regime: Recent theoretical progress
- An update on nonequilibrium linear response
- Quantum Limits of Thermometry
- In situ thermometry of a cold Fermi gas via dephasing impurities
- Quantum probes for the cutoff frequency of Ohmic environments
- Global and local thermometry schemes in coupled quantum systems
- Quantum probing beyond pure dephasing
- Quantum probes to assess correlations in a composite system
- Response theory for nonequilibrium steady-states of open quantum systems
- Fluctuation-dissipation theorem for non-equilibrium quantum systems
- Quantum response theory for nonequilibrium steady states
- Linear response theory for quantum Gaussian processes
Cited by in corpus (4)
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