MISTER-T: An Open-Source Software Package for Quantum Optimal Control of Multi-Electron Systems on Arbitrary Geometries

17 May 2024, Version 1
This content is a preprint and has not undergone peer review at the time of posting.

Abstract

We present an open-source software package, MISTER-T (Manipulating an Interacting System of Total Electrons in Real-Time), for the quantum optimal control of interacting electrons within a time-dependent Kohn-Sham formalism. In contrast to other implementations restricted to simple models on rectangular domains, our method enables quantum optimal control calculations for multi-electron systems (in the effective mass formulation) on nonuniform meshes with arbitrary two-dimensional cross-sectional geometries. Our approach is enabled by forward and backward propagator integration methods to evolve the Kohn-Sham equations with a pseudoskeleton decomposition algorithm for enhanced computational efficiency. We provide several examples of the versatility and efficiency of the MISTER-T code in handling complex geometries and quantum control mechanisms. The capabilities of the MISTER-T code provide insight into the implications of varying propagation times and local control mechanisms to understand a variety of strategies for manipulating electron dynamics in these complex systems.

Keywords

quantum optimal control
optimal control
optimal control theory
electron dynamics
time-dependent DFT
time-dependent density functional theory
time-dependent Schrodinger equation
theoretical chemistry
electronic excited states
finite element method
Mr. T

Supplementary materials

Title
Description
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Title
double well with long time propagation
Description
Animated movie of total electron density under the influence of optimal control fields for an asymmetric double-well potential for long propagation times.
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Title
double well with short time propagation
Description
Animated movie of total electron density under the influence of optimal control fields for an asymmetric double-well potential for short propagation times.
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Title
triple well with position-dependent effective mass
Description
Animated movie of total electron density under the influence of optimal control fields for a triple-well potential with a position-dependent effective mass.
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