Introduction to quantum non-reciprocal interactions: from non-Hermitian Hamiltonians to quantum master equations and quantum feedforward schemes
Aashish A. Clerk
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.
Topics & Concepts
ReciprocalQuantumQuantum operationHermitian matrixPhysicsOpen quantum systemQuantum informationQuantum dissipationQuantum technologyQuantum mechanicsTheoretical physicsClassical mechanicsPhilosophyLinguisticsQuantum Information and CryptographyNeural Networks and Reservoir ComputingMechanical and Optical Resonators