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PreprintarXiv licencearXiv

Measurement-Selective Dynamical Symmetry Breaking

Abstract

Continuous measurement is commonly associated with decoherence and the loss of symmetry. Here, we show that weak continuous measurements can instead act selectively: depending on the measured observable, they may either preserve or remove a dynamical relation between initially mirrored states. Using tunneling between the |+1⟩ and |−1⟩ states of a spin-1 system, we demonstrate that measurements of Sx and Sy break the symmetry of the tunneling dynamics in the presence of a longitudinal bias, whereas measurement of Sz leaves it intact. We formulate this behavior within the Lindblad framework, support it with numerical simulations, and reproduce the dissipative dynamics in a two-qubit quantum circuit using Trotterized evolution and stochastic collective rotations. Our results establish continuous measurement as a selective tool for controlling dynamical symmetry in open quantum systems.

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BibTeX
@misc{kofman2026measurementselective,
  title = {{Measurement-Selective Dynamical Symmetry Breaking}},
  author = {Polina Kofman and Elvira Bilokon and Valeriia Bilokon and Denys I. Bondar},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.19582},
  eprint = {2607.19582},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.19582},
}
RIS
TY  - UNPB
TI  - Measurement-Selective Dynamical Symmetry Breaking
AU  - Polina Kofman
AU  - Elvira Bilokon
AU  - Valeriia Bilokon
AU  - Denys I. Bondar
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2607.19582
UR  - https://arxiv.org/abs/2607.19582
AB  - Continuous measurement is commonly associated with decoherence and the loss of symmetry. Here, we show that weak continuous measurements can instead act selectively: depending on the measured observable, they may either preserve or remove a dynamical relation between initially mirrored states. Using tunneling between the |+1⟩ and |−1⟩ states of a spin-1 system, we demonstrate that measurements of S_x and S_y break the symmetry of the tunneling dynamics in the presence of a longitudinal bias, whereas measurement of S_z leaves it intact. We formulate this behavior within the Lindblad framework, support it with numerical simulations, and reproduce the dissipative dynamics in a two-qubit quantum circuit using Trotterized evolution and stochastic collective rotations. Our results establish continuous measurement as a selective tool for controlling dynamical symmetry in open quantum systems.
ER  -