Optical $\pi$ Phase Shift Created with a Single-Photon Pulse
Daniel Tiarks, Steffen Schmidt, Gerhard Rempe, Stephan D\"urr

TL;DR
This paper demonstrates a method to generate a $$ phase shift between two light pulses using a single-photon pulse and atomic gas, advancing quantum information processing capabilities.
Contribution
The experiment achieves a deterministic $$ phase shift with a single-photon pulse, a key step toward photon-photon quantum gates.
Findings
Successfully generated a $$ phase shift with a single-photon pulse.
Utilized Rydberg blockade and electromagnetically induced transparency.
Measured phase shift through postselection on retrieved photon detection.
Abstract
A deterministic photon-photon quantum-logic gate is a long-standing goal. Building such a gate becomes possible if a light pulse containing only one photon imprints a phase shift of onto another light field. Here we experimentally demonstrate the generation of such a phase shift with a single-photon pulse. A first light pulse containing less than one photon on average is stored in an atomic gas. Rydberg blockade combined with electromagnetically induced transparency creates a phase shift for a second light pulse which propagates through the medium. Postselected on the detection of a retrieved photon from the first pulse, we measure a phase shift of the second pulse. This demonstrates a crucial step toward a photon-photon gate and offers a variety of applications in the field of quantum information processing.
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