Multipartite synchronization residuals in driven-dissipative spin networks

• URL: http://arxiv.org/abs/2606.24360v1
• Date: Tue, 23 Jun 2026 09:49:58 GMT
• Title: Multipartite synchronization residuals in driven-dissipative spin networks
• Abstract summary: We introduce a measure of quantum synchronization that quantifies relative phase localization for two-qubit and three-qubit systems.<n>We investigate these residuals in a driven-dissipative quantum Rabi network in the dispersive adiabatic regime.<n>Our results underscore that phase-sensitive synchronization measures and entropic correlation measures probe distinct aspects of open-system dynamics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We introduce a phase-space measure of quantum synchronization that quantifies relative phase localization for two-qubit and three-qubit systems. This measure is built from the first angular moments of phase distributions obtained from Husimi-Q quasiprobability functions. Using this framework, we formulate a new class of synchronization residuals, motivated by subadditivity-type hierarchies of information-theoretic measures. We investigate these residuals in a driven-dissipative quantum Rabi network in the dispersive adiabatic regime. We show that, for two qubits, collective synchronization remains bounded by single-qubit contributions yielding a non-negative bipartite residual. The three-qubit nonequilibrium steady state exhibits a negative tripartite residual, which indicates collective phase synchronization, which cannot be described by pairwise decomposition. The corresponding entropy-based residuals, however, remain non-negative in both cases. Our results therefore, underscore that phase-sensitive synchronization measures and entropic correlation measures probe distinct aspects of open-system dynamics.

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