Introduction to quantum non-reciprocal interactions: from non-Hermitian Hamiltonians to quantum master equations and quantum feedforward schemes
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 f...
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| Format: | Article |
| Language: | English |
| Published: |
SciPost
2022-03-01
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| Series: | SciPost Physics Lecture Notes |
| Online Access: | https://scipost.org/SciPostPhysLectNotes.44 |
| Summary: | 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. |
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| ISSN: | 2590-1990 |