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Quantum adiabatic elimination at arbitrary order for photon number measurement

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Abstract

Adiabatic elimination is a perturbative model reduction technique based on timescale separation and often used to simplify the description of composite quantum systems. We here analyze a quantum experiment where the perturbative expansion can be carried out to arbitrary order, such that: (i) we can formulate in the end an exact reduced model in quantum form; (ii) as the series provides accuracy for ever larger parameter values, we can discard any condition on the timescale separation, thereby analyzing the intermediate regime where the actual experiment is performing best; (iii) we can clarify the role of some gauge degrees of freedom in this model reduction technique.

Dates and versions

hal-03084837 , version 1 (21-12-2020)

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Alain Sarlette, Pierre Rouchon, Antoine Essig, Quentin Ficheux, Benjamin Huard. Quantum adiabatic elimination at arbitrary order for photon number measurement. 2020 IFAC World Congress, IFAC, Jul 2020, Berlin, Germany. ⟨hal-03084837⟩
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