Asymptotic phase-locking and synchronization in two-qubit systems

Autor: D Štěrba, J Novotný, I Jex
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of Physics Communications, Vol 7, Iss 4, p 045003 (2023)
Druh dokumentu: article
ISSN: 2399-6528
DOI: 10.1088/2399-6528/acc0d4
Popis: The paper concerns spontaneous asymptotic phase-locking and synchronization in two-qubit systems undergoing continuous Markovian evolution described by Lindbladian dynamics with normal Lindblad operators. Using analytic methods, all phase-locking-enforcing mechanisms within the given framework are obtained and classified. Detailed structures of their respective attractor spaces are provided and used to explore their properties from various perspectives. Amid phase-locking processes those additionally enforcing identical stationary parts of both qubits are identified, including as a special case the strictest form of synchronization conceivable. A prominent basis is presented which reveals that from a physical point of view two main types of phase-locking mechanisms exist. The ability to preserve information about the initial state is explored and an upper bound on the amplitude of oscillations of the resulting phase-locked dynamics is established. Permutation symmetry of both asymptotic states and phase-locking mechanisms is discussed. Lastly, the possibility of entanglement production playing the role of a phase-locking witness is rebutted by three analytically treatable examples.
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