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Time and frequency -Domain Interpretation of PI Control

Time and frequency -Domain Interpretation of PI Control

Proportional-Integral (PI) controllers are essential in many control systems to improve stability and performance. They are commonly used in everyday devices like thermostats to enhance system damping and reduce steady-state error. When the zero in the controller's transfer function is optimally placed, the system benefits significantly in terms of stability and accuracy.
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Updated: Mar 18, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

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Published on: January 28, 2019

Optical π phase shift created with a single-photon pulse.

Daniel Tiarks¹, Steffen Schmidt¹, Gerhard Rempe¹

¹Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany.

Science Advances

|July 8, 2016

Summary

This summary is machine-generated.

Researchers created a single-photon pulse that imprints a phase shift, a key step toward building a deterministic photon-photon quantum logic gate for quantum information processing.

Keywords:

Quantum photonics Rydberg atoms

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Area of Science:

Quantum Optics
Quantum Information Processing
Atomic Physics

Background:

Deterministic photon-photon quantum logic gates are essential for quantum computation.
Previous methods struggled to achieve reliable single-photon interactions.

Purpose of the Study:

To experimentally demonstrate a single-photon pulse generating a π phase shift on another light field.
To advance the development of photon-photon quantum logic gates.

Main Methods:

Storing a single-photon pulse in an atomic gas.
Utilizing Rydberg blockade and electromagnetically induced transparency.
Measuring the phase shift on a second light pulse conditioned on photon retrieval.

Main Results:

Successfully generated a π phase shift using a single-photon pulse.
Demonstrated the feasibility of controlled photon-photon interaction via atomic media.
Validated the role of Rydberg blockade and EIT in phase imprinting.

Conclusions:

This work represents a significant advancement towards deterministic photon-photon gates.
The demonstrated technique has potential applications in quantum information processing and quantum simulation.