Stochastic Interaction Monte-Carlo Wave-Function Method.

ORAL

Abstract

The Monte-Carlo Wave Function (MCWF) method allows for the numerical solution of the Lindblad equation using a quantum trajectory approach. This method was generalized by Piilo et. al to solve the more general non-Markovian local-in-time master equation. The generalized method is called the Non-Markovian Quantum Jumps (NMQJ) method. This new method suffers from some numerical and mathematical edge cases which make its application rather complicated.

In this work we propose the Stochastic Interaction Monte-Carlo Wave Function (SI-MCWF) method, which generalizes the MCWF method in a similar way to the NMQJ, but does not suffer from some of the same numerical and mathematical complications.

*This work was sponsored by the QSolid Project. The QSolid project acknowledges the support of the Federal Ministry of Education and Research (BMBF) within the framework programme "Quantum technologies - from basic research to market".

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Presenters

  • Miralem Sinanovic

    • University des Saarlandes, Forschungszentrum Jülich GmbH

Authors

  • Miralem Sinanovic

    • University des Saarlandes, Forschungszentrum Jülich GmbH

  • Shai Machnes

    • Forschungszentrum Jülich GmbH
    • Forschungszentrum Jülich GmbH, Qruise
    • Qruise, Forschungszentrum Jülich

  • Frank K Wilhelm-Mauch

    • Juelich Research Center
    • University des Saarlandes, Forschungszentrum Jülich GmbH
    • Forschungszentrum Jülich GmbH
    • Forschungszentrum Jülich