SAMOP 2023 – wissenschaftliches Programm

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QI: Fachverband Quanteninformation

QI 6: Poster I (joint session QI/Q)

QI 6.13: Poster

Montag, 6. März 2023, 16:30–19:00, Empore Lichthof

Mimicking non-Markovian dynamics using the stochastic surrogate Hamiltonian — •Jonas Fischer and Christiane Koch — Freie Universität Berlin

Some control tasks, like qubit reset, demand interaction between the system and environment. In order to perform these tasks quickly, it is beneficial if this coupling is as strong as possible. Typically, this leads to non-Markovian dynamics, for which there is no unified propagation method so far.

One possible candidate is the surrogate Hamiltonian. The real environment is substituted by a collection of two-level systems that capture the influence of the real environment on the system. This allows for the propagation of the full Hilbert space, allowing for the description of non-Markovian dynamics.

Due to the truncation of the Hilbert-space, this method is limited to short timescales. At a certain point in time, the environmental modes will saturate and recurrences in the system dynamics will occur. The stochastic surrogate Hamiltonian is aiming to resolve this issue by randomly resetting the environmental modes into a thermal state. These resets should be performed in such a way that the recurrences get suppressed, but at the same time, they should destroy as few correlations as possible. We present a reset method that reproduces the correct reduced density matrices for both the reset mode and the other environmental modes.