Solomon equations for qubit and two-level systems: Insights into non-Poissonian quantum jumps
Abstract
We measure and model the combined relaxation of a qubit coupled to a discrete two-level system~(TLS) environment, also known as the central spin model. If the TLSs are much longer-lived than the qubit, non-exponential relaxation and non-Poissonian quantum jumps can be observed. In the limit of large numbers of TLSs, the relaxation is likely to follow a power law, which we confirm with measurements on a superconducting fluxonium qubit. Moreover, the observed relaxation and quantum jump statistics are described by the Solomon equations, for which we present a derivation starting from the general Lindblad equation for an arbitrary number of TLSs. We also show how to reproduce the non-Poissonian quantum jump statistics using a diffusive stochastic Schr\"odinger equation. The fact that the measured quantum jump statistics can be reproduced by the Solomon equations, which ignore the quantum measurement backaction, hints at a quantum-to-classical transition.
Keywords
Cite
@article{arxiv.2307.06900,
title = {Solomon equations for qubit and two-level systems: Insights into non-Poissonian quantum jumps},
author = {Martin Spiecker and Andrei I. Pavlov and Alexander Shnirman and Ioan M. Pop},
journal= {arXiv preprint arXiv:2307.06900},
year = {2024}
}