Stochastic hybrid systems in the analysis of quantum systems: the Haroche experiment
DOI:
https://doi.org/10.17979/ja-cea.2025.46.12206Keywords:
Stochastic hybrid systems, Quantum systems control, Input-output systems, Control Theory, StabilityAbstract
Deterministic and stochastic hybrid systems allow for modeling dynamics that combine continuous evolution with discrete jumps, as is the case of open quantum systems. This work proposes a hybrid formalization of the Haroche experiment, where a photon-field quantum cavity interacts with qubits that are periodically injected and measured. The model captures the cavity’s dynamics through Lindblad master equations, and the jumps associated with injection and measurement decisions via quantum operators. Using a simulation tool developed in MATLAB/Simulink, the system is studied from an input-output perspective, applying classical signals in control theory. Finally, an approach to estimate the number of photons in the cavity via qubit interaction is studied. This study enables the exploration of key properties such as stability, excitation sensitivity, and controllability in quantum systems.
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Copyright (c) 2025 Aitor Molina, Alfonso Baños, Juan Ignacio Mulero
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