Solomon equations for qubit and two-level systems: Insights into non-Poissonian quantum jumps

• URL: http://arxiv.org/abs/2307.06900v3
• Date: Mon, 27 May 2024 11:44:08 GMT
• Title: Solomon equations for qubit and two-level systems: Insights into non-Poissonian quantum jumps
• Authors: Martin Spiecker, Andrei I. Pavlov, Alexander Shnirman, Ioan M. Pop,
• Abstract summary: We measure and model the combined relaxation of a qubit coupled to a discrete two-level system(TLS) environment. If the TLSs are much longer-lived than the qubit, non-exponential relaxation and non-Poissonian quantum jumps can be observed.
• Score: 41.94295877935867
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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