Quantum

Quantum synchronization in XX chains under relaxation

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Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 13/11/2026, 07:43:25 UTC.

Briefings

This research investigates stable synchronization in qubit XX chains under multi-local amplitude damping noise, extending prior work on uniform chains. The study establishes that dark-mode energies correspond to eigenvalues shared by undamped segments separated by damped sites. Generic stable synchronization occurs if and only if these segments share exactly one nonzero eigenvalue, resulting in locking constants independent of initial preparation. Analytical examples demonstrate how inhomogeneity can induce synchronization absent in uniform chains, while single-dark-mode regimes ensure nonzero constant concurrence for all participating pairs.

Key points

• Dark-mode energies in XX chains under multi-local amplitude damping noise are precisely the eigenvalues shared by all undamped segments separated by damped sites.
• Generic stable synchronization of edge qubits occurs if and only if these segments share exactly one nonzero eigenvalue, with every qubit on the support of the dark mode synchronized with locking constants independent of initial preparation.

Context

The findings extend previous results by B. Cakmak et al. (Phys. Rev. A 114, L030202 2026) regarding uniform chains, specifically addressing site-dependent frequencies and exchange couplings under multi-local amplitude damping noise. This work provides analytical examples showing how inhomogeneity can create synchronization absent in uniform chains, offering new insights into quantum synchronization mechanisms under realistic noise conditions.

Limitations

The evidence is preprint arXiv:2611.14657v1, indicating it is not yet peer-reviewed. The study focuses on XX chains with site-dependent frequencies and exchange couplings under multi-local amplitude damping noise, with specific constraints on segment separation and nonzero eigenvalue conditions for synchronization. Pairwise concurrence is calculated asymptotically in the single-dark-mode regime, and the locking constants are independent of initial preparation but depend on Hamiltonian parameters.

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