aiqbench analysis
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.
Dressed-state master equation for two strongly coupled two-level atoms with long-lived entanglement
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
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.
Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.
Full text under the publisher's open licence · 220 words
Related coverage
Floquet-Liouville Theory for Strongly Driven Open Quantum Systems
arXiv · Aug 18, 2026

Atoms gain momentum as they emit light, creating hybrid entanglement
Quantum Zeitgeist · Oct 12, 2026
Dissipation across the ultrastrong-coupling regime of nanomechanical quantum Rabi systems
arXiv · Sep 1, 2026

News
Quantum Computing Report · Jun 7, 2026