Theory of quantum frequency conversion and type-II parametric down-conversion in the high-gain regime

By Andreas Christ, B. Brecht, Wolfgang Mauerer, Christine Silberhorn. 2012

139 citations recorded by the source corpus.

Frequency conversion (FC) and type-II parametric down-conversion (PDC) processes serve as basic building blocks for the implementation of quantum optical experiments: type-II PDC enables the efficient creation of quantum states such as photon-number states and Einstein–Podolsky–Rosen (EPR)-states. FC gives rise to technologies enabling efficient atom–photon coupling, ultrafast pulse gates and enhanced detection schemes. However, despite their widespread deployment, their theoretical treatment remains challenging. Especially the multi-photon components in the high-gain regime as well as the explicit time-dependence of the involved Hamiltonians hamper an efficient theoretical description of these nonlinear optical processes. In this paper, we investigate these effects and put forward two models that enable a full description of FC and type-II PDC in the high-gain regime. We present a rigorous numerical model relying on the solution of coupled integro-differential equations that covers the complete dynamics of the process. As an alternative, we develop a simplified model that, at the expense of neglecting time-ordering effects, enables an analytical solution. While the simplified model approximates the correct solution with high fidelity in a broad parameter range, sufficient for many experimental situations, such as FC with low efficiency, entangled photon-pair generation and the heralding of single photons from type-II PDC, our investigations reveal that the rigorous model predicts a decreased performance for FC processes in quantum pulse gate applications and an enhanced EPR-state generation rate during type-II PDC, when EPR squeezing values above 12 dB are considered.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/2fbc33e6b38eebfe276ea44eb21c10cbf3646b98

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Citations in the corpus

Nonlinear optical signals and spectroscopy with quantum light (2016, methodology): “…which are the relevant quantities in nonlinear spectroscopy, may be most conveniently evaluated by switching to the Heisenberg picture, in which the Schmidt mode operators become (Christ et al., 2013, 2011) Aoutk = cosh(rk)A in k + sinh(rk)B †in k , (60) Boutk = cosh(rk)B in k + sinh(rk)A †in k .”
Photon temporal modes: a complete framework for quantum information science (2015, background): “85 due to the effects of time ordering, which lead to a temporal multimode behavior at conversion efficiencies exceeding 90% [43, 44].”