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  • Letter

Role of coherence and degeneracies in quantum synchronization

Parvinder Solanki1,*, Noufal Jaseem1, Michal Hajdušek2, and Sai Vinjanampathy1,3,†

  • 1Department of Physics, Indian Institute of Technology-Bombay, Powai, Mumbai 400076, India
  • 2Keio University, Shonan Fujisawa Campus, 5322 Endo, Fujisawa, Kanagawa 252-0882, Japan
  • 3Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore, Singapore

  • *psolanki@phy.iitb.ac.in
  • †sai@phy.iitb.ac.in
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Phys. Rev. A 105, L020401 – Published 28 February, 2022

DOI: https://doi.org/10.1103/PhysRevA.105.L020401

Abstract

Synchronization in quantum systems has been largely driven by specific examples of frequency entrainment as well as mutual synchronization. Here we study quantum synchronization as a Liouville space perturbation theory. We begin by clarifying the role of centers, symmetries, and oscillating coherences in the context of quantum synchronization. We then analyze the eigenspectrum of the Liouville superoperator generating the dynamics of the quantum system and determine the conditions under which synchronization arises. We apply our framework to derive a powerful relationship between energy conservation, degeneracies, and synchronization in quantum systems. Finally, we demonstrate our approach by analyzing two mutually coupled thermal machines and prove that nondegenerate thermal networks cannot be simultaneously energy conserving and synchronous.

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Phys. Rev. A 105, L020401– Published 28 February, 2022
  • Received 30 April 2021
  • Accepted 28 January 2022
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