English

Symmetries and Synchronization Blockade

Quantum Physics 2023-09-06 v1 Mesoscale and Nanoscale Physics

Abstract

Synchronization blockade refers to an interferometric cancellation of quantum synchronization. In this manuscript, we show how the choice of synchronization measure and Hamiltonian symmetries affect the discussion of synchronization blockade. Using counting principles, we prove a general theorem that synchronization blockade cannot be observed in an NN-level system when the coherent state used to define the diagonal limit-cycle state is in the full SU(N)SU(N) group. We present several illustrative examples of synchronization blockade in multi-level systems and prove that information-theoretic measures of synchronization can also observe synchronization blockade-like behavior by an appropriate choice of the set of limit cycle states.

Keywords

Cite

@article{arxiv.2212.09388,
  title  = {Symmetries and Synchronization Blockade},
  author = {Parvinder Solanki and Faraz Mohd Mehdi and Michal Hajdušek and Sai Vinjanampathy},
  journal= {arXiv preprint arXiv:2212.09388},
  year   = {2023}
}

Comments

10 pages, comments welcome

R2 v1 2026-06-28T07:41:57.536Z