Symmetries and Synchronization Blockade

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 $N-$level system when the coherent state used to define the diagonal limit-cycle state is in the full $SU(N)$ 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.

arXiv comment10 pages, comments welcome

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Cited by in corpus (10)

• Macroscopic quantum synchronization effects
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• Exploring Quantum Synchronization with a Composite Two-Qubit Oscillator
• Quantum synchronization blockade induced by nonreciprocal coupling
• Quantum Synchronization of Twin Limit-Cycle Oscillators
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• Absence of Correlations in Dissipative Interacting Qubits: a No-Go Theorem
• Quantum spin van der Pol oscillator -- a spin-based limit-cycle oscillator exhibiting quantum synchronization
• Auxiliary-state facilitated phase synchronization phenomena in isolated spin systems
• Signatures of Environment-Induced Quantum Synchronization Transitions via Two-body Dissipator Engineering