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Quantum 1/f^η Noise Induced Relaxation in the Spin-Boson Model

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arxiv 2507.14329 v1 pith:XXGSIMPP submitted 2025-07-18 quant-ph

Quantum 1/f^η Noise Induced Relaxation in the Spin-Boson Model

classification quant-ph
keywords quantumnoisebathdephasingfindmodelregimespin-boson
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We extend the spin-boson model of open quantum systems to the regime of quantum $1/f^\eta$ noise characterized by negative exponents of its spectral distribution. Using the numerically exact time-evolving matrix product operator, we find the dynamic regime diagram, including pseudocoherent dynamics controlled by quantum $1/f^\eta$ noise. We determine the dephasing rate and find for it an empirical formula valid at zero temperature. The bath reorganization energy depends on the infrared bath cutoff frequency, revealing an increased sensitivity of the dephasing on the measurement time of an experiment. \ep{Our results apply to a qubit as an elementary building block of a quantum computer and pave the way towards a quantum treatment of low-frequency noise in more complex architectures.

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Cited by 2 Pith papers

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    Machine learning classifies six Markovian and non-Markovian noise classes in two-qubit systems with over 94% accuracy using only final transfer efficiencies from a coherent population transfer protocol under three dri...

  2. Machine Learning-Aided Optimal Control of a Qubit Subjected to External Noise

    quant-ph 2025-12 unverdicted novelty 5.0

    A greybox framework combining whitebox physics with a neural-network blackbox trained on synthetic data achieves over 90% gate fidelity for a qubit under non-Markovian noise.