Unraveling mirror properties in time-delayed quantum feedback scenarios. Issue 11 (25th June 2018)

• Record Type: Journal Article
• Authors: Faulstich, Fabian M.; Kraft, Manuel; Carmele, Alexander
• Is Part Of: Journal of modern optics. Volume 65:Issue 11(2018)
• Page Start: 1323
• Page End: 1331
• Publication Date: 2018-06-25
• Subjects: Quantum optics -- Fresnel reflection coefficient -- refraction index -- microscopic approach -- atom–plane dielectric interaction -- Weisskopf–Wigner -- narrow-band approximation; Optics -- Periodicals; 535
• DOI: 10.1080/09500340.2017.1363919
• Languages: English
• ISSNs: 0950-0340

Abstract

Abstract: We derive in the Heisenberg picture a widely used phenomenological coupling element to treat feedback effects in quantum optical platforms. Our derivation is based on a microscopic Hamiltonian, which describes the mirror-emitter dynamics based on a dielectric, a mediating fully quantized electromagnetic field and a single two-level system in front of the dielectric. The dielectric is modelled as a system of identical two-state atoms. The Heisenberg equation yields a system of describing differential operator equations, which we solve in the Weisskopf–Wigner limit. Due to a finite round-trip time between emitter and dielectric, we yield delay differential operator equations. Our derivation motivates and justifies the typical phenomenologicalassumed coupling element and allows, furthermore, a generalization to a variety of mirrors, such as dissipative mirrors or mirrors with gain dynamics.