Solomon equations for qubit and two-level systems: Insights into non-Poissonian quantum jumps
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| Format: | Preprint |
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2023
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| _version_ | 1866910459378008064 |
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| author | Spiecker, Martin Pavlov, Andrei I. Shnirman, Alexander Pop, Ioan M. |
| author_facet | Spiecker, Martin Pavlov, Andrei I. Shnirman, Alexander Pop, Ioan M. |
| contents | 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 Schrödinger 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2307_06900 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Solomon equations for qubit and two-level systems: Insights into non-Poissonian quantum jumps Spiecker, Martin Pavlov, Andrei I. Shnirman, Alexander Pop, Ioan M. Quantum Physics Mesoscale and Nanoscale Physics Statistical Mechanics Chemical Physics 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 Schrödinger 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. |
| title | Solomon equations for qubit and two-level systems: Insights into non-Poissonian quantum jumps |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Statistical Mechanics Chemical Physics |
| url | https://arxiv.org/abs/2307.06900 |