Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 26 min ago
PreprintCC BY 4.0HAL

Synchronized Spin Trajectories under Collective Weak Measurements

  • Yiwen Han
  • Konghao Sun
  • Wei Yi
  • Johannes Schachenmayer
Open at sourcePDFDOICite

Abstract

We consider locally driven-dissipative quantum spins that undergo a continuous weak measurement of their collective spin. We show that such a system can exhibit full spin-synchronization in trajectories corresponding to the same measurement record. Mathematically, we demonstrate that this is a general consequence of the irreducibility of the quantum Markov semigroup generated by the Lindbladian, in combination with a transitive symmetry, in particular spin-permutation symmetry. When breaking the irreducibility, e.g. in the absence of local dissipation, the system can exhibit a weaker form of partial synchronization. Given the general origin, this measurement-induced phenomenon arises in a broad class of many-body systems.

Related

  1. Anti-synchronized collective rotation in magnetic colloidal particles under rotating magnetic fields
    Adithya Bharath, A. V. Anil Kumar
    arXivPreprintCC BY 4.0Full textCondensed matterStatistical & nonlinear physicsarXiv
  2. Adaptive negativity estimation via collective measurements
    Martin Zeman, Vojtěch Trávníček, Antonín Černoch +2
    Physical Review ResearchPeer-reviewedCC BY 4.0Atomic, molecular & optical physicsCrossref
  3. Perfect discrimination of an orthogonal 2⊗2 basis may require collective separable measurements on two copies
    Somshubhro Bandyopadhyay
    arXivPreprintarXiv licenceFull textQuantum physics & quantum informationarXiv
  4. Collective Excitonic Structure Governs Anomalously Weak Thermal Optical Dephasing in Conjugated Polymers
    Henry J. Kantrow, Elizabeth Gutiérrez-Meza, Eric R. Bittner +2
    arXivPreprintCC BY 4.0Full textPhysical chemistryCondensed matterarXiv
  5. Interpretable many-body interaction laws for collective motion from few trajectories
    Timon S. Gutleb
    arXivPreprintarXiv licenceFull textBioinformatics & computational biologyBiological & medical physicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{han2026synchronized,
  title = {{Synchronized Spin Trajectories under Collective Weak Measurements}},
  author = {Yiwen Han and Konghao Sun and Wei Yi and Johannes Schachenmayer},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.12736},
  eprint = {2609.12736},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05785816v1},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Synchronized Spin Trajectories under Collective Weak Measurements
AU  - Yiwen Han
AU  - Konghao Sun
AU  - Wei Yi
AU  - Johannes Schachenmayer
PY  - 2026
DA  - 2026/09/30
PB  - HAL
DO  - 10.48550/arxiv.2609.12736
UR  - https://hal.science/hal-05785816v1
AB  - We consider locally driven-dissipative quantum spins that undergo a continuous weak measurement of their collective spin. We show that such a system can exhibit full spin-synchronization in trajectories corresponding to the same measurement record. Mathematically, we demonstrate that this is a general consequence of the irreducibility of the quantum Markov semigroup generated by the Lindbladian, in combination with a transitive symmetry, in particular spin-permutation symmetry. When breaking the irreducibility, e.g. in the absence of local dissipation, the system can exhibit a weaker form of partial synchronization. Given the general origin, this measurement-induced phenomenon arises in a broad class of many-body systems.
ER  -