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This theoretical study derives a dressed-state master equation describing how intrinsic decay mechanisms in strongly coupled two-level atoms can transiently generate maximal entanglement before relaxing to a separable state. The findings provide critical mathematical formalism for understanding non-Markovian dynamics and long-lived quantum correlations, which are foundational challenges for scaling up fault-tolerant quantum computers.
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Dressed-state master equation for two strongly coupled two-level atoms with long-lived entanglement

arXiv2 min de cititArticolul și perspectiva sunt în engleză.

arXiv:2603.22238v2 Announce Type: replace Abstract: We derive a dressed-state master equation in Lindblad form for two strongly coupled two-level atoms. The resulting decay dynamics are governed by Lindblad operators that couple different dressed states. We show that the eigenvalues and eigenvectors of the Liouvillian can be obtained in a compact form, since each off-diagonal element in the dressed-state basis constitutes an eigenvector. Depending on the interatomic distance and the atomic transition frequency, the decay exhibits two well-separated time scales. On short times, the system relaxes into a pair of states, one of which is a transient, maximally entangled state. On longer times, this intermediate entanglement irreversibly decays into a separable steady state. Our results demonstrate that the intrinsic decay mechanism can transiently generate maximal entanglement, an effect that is not captured without the dressed-state master-equation formalism.

Abstract:We derive a dressed-state master equation in Lindblad form for two strongly coupled two-level atoms. The resulting decay dynamics are governed by Lindblad operators that couple different dressed states. We show that the eigenvalues and eigenvectors of the Liouvillian can be obtained in a compact form, since each off-diagonal element in the dressed-state basis constitutes an eigenvector. Depending on the interatomic distance and the atomic transition frequency, the decay exhibits two well-separated time scales. On short times, the system relaxes into a pair of states, one of which is a transient, maximally entangled state. On longer times, this intermediate entanglement irreversibly decays into a separable steady state. Our results demonstrate that the intrinsic decay mechanism can transiently generate maximal entanglement, an effect that is not captured without the dressed-state master-equation formalism.

arXiv:2603.22238 [quant-ph]

(or arXiv:2603.22238v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2603.22238 Focus to learn more arXiv-issued DOI via DataCite

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