Adiabatic elimination in a lambda system
By E. Brion, L. H. Pedersen, Klaus Mølmer. 2006
230 citations recorded by the source corpus.
This paper deals with different ways to extract the effective two-dimensional lower level dynamics of a lambda system excited by off-resonant laser beams. We present a commonly used procedure for elimination of the upper level, and we show that it may lead to ambiguous results. To overcome this problem and better understand the applicability conditions of this scheme, we review two rigorous methods which allow us both to derive an unambiguous effective two-level Hamiltonian of the system and to quantify the accuracy of the approximation achieved: the first relies on the exact solution of the Schrödinger equation, while the second resorts to the Green's function formalism and the Feshbach projection operator technique.
Subfields: Artificial Intelligence, Computer Networks and Communications
View Paper: https://www.semanticscholar.org/paper/190a350afc5c240067385beadd12ed71b00fe5b5
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In Artificial Intelligence
In Computer Networks and Communications
Citations in the corpus
- Quantum simulation and computing with Rydberg-interacting qubits (2020, methodology): “In this case the dipole interaction Hamiltonian can be treated using second-order perturbation theory 161 , yielding for the low energy subspace with the van der Waals coefficient .”