A pedagogical introduction to continuously monitored quantum systems and measurement-based feedback
Articolo
Data di Pubblicazione:
2024
Citazione:
A pedagogical introduction to continuously monitored quantum systems and measurement-based feedback / F. Albarelli, M.G. Genoni. - In: PHYSICS LETTERS A. - ISSN 0375-9601. - 494:(2024), pp. 129260.1-129260.17. [10.1016/j.physleta.2023.129260]
Abstract:
In this manuscript we present a pedagogical introduction to continuously monitored quantum systems. We
start by giving a simplified derivation of the Markovian master equation in Lindblad form, in the spirit
of collision models and input-output theory, which describes the unconditional dynamics of a continuously
monitored system. The same formalism is then exploited to derive stochastic master equations that describe the
conditional dynamics. We focus on the two most paradigmatic examples of continuous monitoring: continuous
photodetection, leading to a discontinuous dynamics with “quantum jumps”, and continuous homodyne
measurements, leading to a diffusive dynamics. We then present a derivation of feedback master equations that
describe the dynamics (either conditional or unconditional) when the continuous measurement photocurrents
are fed back to the system as a linear driving Hamiltonian, a paradigm known as linear Markovian feedback.
In the second part of the manuscript we focus on continuous-variable Gaussian systems: we first present the
equations for first and second moments describing the dynamics under continuous general-dyne measurements,
and we then discuss in more detail the conditional and unconditional dynamics under Markovian and state-based
feedback.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Continuous measurements; Continuously monitored quantum systems; Feedback control; Quantum feedback; Quantum trajectories
Elenco autori:
F. Albarelli, M.G. Genoni
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