Thermometry and memcapacitance with qubit-resonator system
S. N. Shevchenko, D. S. Karpov

TL;DR
This paper explores how a driven-dissipative qubit-resonator system can be used for precise thermometry and as a quantum memcapacitor, with analytical and experimental comparisons.
Contribution
It introduces a theoretical framework for using qubit-resonator dynamics for thermometry and memcapacitor applications, supported by analytical and experimental analysis.
Findings
Temperature-dependent resonator frequency shift enables thermometry.
System dynamics exhibit pinched-hysteretic curves suitable for memory devices.
Analytical results align with semi-quantum calculations and previous experiments.
Abstract
We study theoretically dynamics of a driven-dissipative qubit-resonator system. Specifically, a transmon qubit is coupled to a transmission-line resonator; this system is considered to be probed via a resonator, by means of either continuous or pulsed measurements. Analytical results obtained in the semiclassical approximation are compared with calculations in the semi-quantum theory as well as with the previous experiments. We demonstrate that the temperature dependence of the resonator frequency shift can be used for the system thermometry and that the dynamics, displaying pinched-hysteretic curve, can be useful for realization of memory devices, the quantum memcapacitors.
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