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- W4385435106 abstract "The modelling of the Schrödinger Equation as a port-Hamil-tonian system is addressed. We suggest two Hamiltonians for the model, one based on the probability of presence and the other on the energy of the quantum system in a time-independent potential. In order to simulate the evolution of the quantum system, we adapt the model to a bounded domain. The model is discretized thanks to the structure-preserving Partitioned Finite Element Method (PFEM). Simulations of Rabi oscillations to control the state of a system inside a quantum box are performed. Our numerical experiments include the transition between two levels of energy and the generation of Schrödinger cat states." @default.
- W4385435106 created "2023-08-01" @default.
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- W4385435106 date "2023-01-01" @default.
- W4385435106 modified "2023-10-16" @default.
- W4385435106 title "Modelling and Structure-Preserving Discretization of the Schrödinger as a Port-Hamiltonian System, and Simulation of a Controlled Quantum Box" @default.
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- W4385435106 doi "https://doi.org/10.1007/978-3-031-38299-4_41" @default.
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