Introduction to quantum non-reciprocal interactions: from non-Hermitian Hamiltonians to quantum master equations and quantum feedforward schemes

Clerk, Aashish

doi:10.21468/SciPostPhysLectNotes.44

SciPost Physics Lecture Notes

Introduction to quantum non-reciprocal interactions: from non-Hermitian Hamiltonians to quantum master equations and quantum feedforward schemes

Aashish A. Clerk

SciPost Phys. Lect. Notes 44 (2022) · published 21 March 2022

Part of the 2019-07: Quantum Information Machines Collection in the Les Houches Summer School Lecture Notes Series.

doi: 10.21468/SciPostPhysLectNotes.44
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Abstract

These lecture notes from the 2019 Les Houches Summer School on Quantum Information Machines provides a pedagogical introduction to the theory of non-reciprocal quantum interactions and devices. The goal is connect various approaches and concepts, including Hamiltonians encoding synthetic gauge fields, scattering descriptions, quantum master equations, and non-Hermitian Hamiltonians. The importance of having both non-trivial synthetic gauge fields and dissipation for obtaining non-reciprocal interactions is stressed. Connections to broader topics such as quantum reservoir engineering and the quantum theory of continuous-measurement based feedforward are also discussed.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysLectNotes.44
TI  - Introduction to quantum non-reciprocal interactions: from non-Hermitian Hamiltonians to quantum master equations and quantum feedforward schemes
PY  - 2022/03/21
UR  - https://www.scipost.org/SciPostPhysLectNotes.44
JF  - SciPost Physics Lecture Notes
JA  - SciPost Phys. Lect. Notes
SP  - 44
A1  - Clerk, Aashish
AB  - These lecture notes from the 2019 Les Houches Summer School on Quantum Information Machines provides a pedagogical introduction to the theory of non-reciprocal quantum interactions and devices. The goal is connect various approaches and concepts, including Hamiltonians encoding synthetic gauge fields, scattering descriptions, quantum master equations, and non-Hermitian Hamiltonians. The importance of having both non-trivial synthetic gauge fields and dissipation for obtaining non-reciprocal interactions is stressed. Connections to broader topics such as quantum reservoir engineering and the quantum theory of continuous-measurement based feedforward are also discussed.
ER  -

@Article{10.21468/SciPostPhysLectNotes.44,
	title={{Introduction to quantum non-reciprocal interactions: from non-Hermitian Hamiltonians to quantum master equations and quantum feedforward schemes}},
	author={Aashish A. Clerk},
	journal={SciPost Phys. Lect. Notes},
	pages={44},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhysLectNotes.44},
	url={https://scipost.org/10.21468/SciPostPhysLectNotes.44},
}

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¹ Aashish Clerk

¹ University of Chicago [UC]

Funders for the research work leading to this publication

Air Force Office of Scientific Research [AFOSR]
Army Research Office (ARO) (through Organization: United States Army Research Laboratory [ARL])