Quantum thermometry using the ac Stark shift within the Rabi model

Kieran D. B. Higgins*, Brendon William Lovett, Erik M. Gauger

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


A quantum two-level system coupled to a harmonic oscillator represents a ubiquitous physical system. New experiments in circuit QED and nanoelectromechanical systems (NEMS) achieve unprecedented coupling strength at large detuning between qubit and oscillator, thus requiring a theoretical treatment beyond the Jaynes-Cummings model. Here we present a new method for describing the qubit dynamics in this regime, based on an oscillator correlation function expansion of a non-Markovian master equation in the polaron frame. Our technique yields a new numerical method as well as a succinct approximate expression for the qubit dynamics. These expressions are valid in the experimentally interesting regime of strong coupling at low temperature. We obtain a new expression for the ac Stark shift and show that this enables practical and precise qubit thermometry of an oscillator.

Original languageEnglish
Article number155409
Number of pages6
JournalPhysical Review. B, Condensed matter and materials physics
Issue number15
Publication statusPublished - 7 Oct 2013


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