Coherence-enhanced single-qubit thermometry out of equilibrium

• URL: http://arxiv.org/abs/2405.14439v1
• Date: Thu, 23 May 2024 11:11:01 GMT
• Title: Coherence-enhanced single-qubit thermometry out of equilibrium
• Authors: Gonçalo Frazao, Marco Pezzutto, Yasser Omar, Emmanuel Zambrini Cruzeiro, Stefano Gherardini,
• Abstract summary: We consider a finite-dimensional quantum system, employed as a quantum thermometer, in contact with a thermal inducing Markov bathian thermalization dynamics. We prove that the sensitivity of the thermometer, quantified by the quantum Fisher information, is enhanced by the quantum coherence in its initial state.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The metrological limits of thermometry operated in nonequilibrium dynamical regimes are analyzed. We consider a finite-dimensional quantum system, employed as a quantum thermometer, in contact with a thermal bath inducing Markovian thermalization dynamics. The quantum thermometer is initialized in a generic quantum state, possibly including quantum coherence w.r.t. the Hamiltonian basis. We prove that the sensitivity of the thermometer, quantified by the quantum Fisher information, is enhanced by the quantum coherence in its initial state. We analytically show this in the specific case of qubit thermometers for which the maximization of the quantum Fisher information occurs at a finite time during the transient of the thermalization dynamics. Such a finite-time sensitivity enhancement can be better than the sensitivity that is achieved asymptotically.

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