Title:	Amplification and cross-Kerr nonlinearity in waveguide quantum electrodynamics
Authors:	Vinu, Athul Roy, Dibyendu
Issue Date:	May-2020
Publisher:	American Physical Society
Citation:	Physical Review A, 2020, Vol.101, p053812
Abstract:	We explore amplification and cross-Kerr nonlinearity by a three-level emitter (3LE) embedded in a waveguide and driven by two light beams. The coherent amplification and cross-Kerr nonlinearity were demonstrated in recent experiments, respectively, with a V and a ladder-type 3LE coupled to an open superconducting transmission line carrying two microwave fields. Here, we consider Λ ,V , and ladder-type 3LE, and compare the efficiency of coherent and incoherent amplification as well as the magnitude of the cross-Kerr phase shift in all three emitters. We apply the Heisenberg-Langevin equations approach to investigate the scattering of a probe and a drive beam, both initially in coherent states. We particularly calculate the regime of the probe and drive powers when the 3LE acts most efficiently as a coherent amplifier and derive the second-order coherence of amplified probe photons. Finally, we apply the Kramers-Kronig relations to correlate the amplitude and phase response of the probe beam, which are used in finding the coherent amplification and the cross-Kerr phase shift in these systems
Description:	Open Access
URI:	http://hdl.handle.net/2289/7477
ISSN:	2469-9926 2469-9934 (online)
Alternative Location:	https://arxiv.org/abs/1910.08445 https://ui.adsabs.harvard.edu/abs/2020PhRvA.101e3812V/abstract https://doi.org/10.1103/PhysRevA.101.053812
Copyright:	2020 American Physical Society
Appears in Collections:	Research Papers (TP)

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