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  • Letter
  • Open Access

Quantum 1/fη noise induced relaxation in the spin-boson model

Florian Otterpohl1,*, Peter Nalbach2, Elisabetta Paladino3, Giuseppe A. Falci3,†, and Michael Thorwart1,‡

  • 1I. Institut für Theoretische Physik, Universität Hamburg, Notkestraße 9, 22607 Hamburg, Germany
  • 2Fachbereich Wirtschaft & Informationstechnik, Westfälische Hochschule, Münsterstraße 265, 46397 Bocholt, Germany
  • 3Dipartimento di Fisica e Astronomia “Ettore Majorana”, Università di Catania, Via Santa Sofia 64, 95123 Catania, Italy

  • *Contact author: florian.otterpohl@physik.uni-hamburg.de
  • †Contact author: giuseppe.falci@unict.it
  • ‡Contact author: michael.thorwart@uni-hamburg.de
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Phys. Rev. Research 7, L042030 – Published 31 October, 2025

DOI: https://doi.org/10.1103/t87m-7pwn

Abstract

We extend the spin-boson model of open quantum systems to the regime of quantum 1/fη 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/fη 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. Our results apply to a qubit as an elementary building block of a quantum computer and pave the way toward a quantum treatment of low-frequency noise in more complex architectures.

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Phys. Rev. Research 7, L042030– Published 31 October, 2025
  • Received 21 May 2024
  • Accepted 18 July 2025
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