Improved modeling of dynamic quantum systems using exact Lindblad master equations

TL;DR

This paper derives an exact Lindblad master equation for dynamic quantum systems, correcting previous assumptions, which enhances modeling accuracy and computational efficiency without extra cost.

Contribution

It introduces a corrected, exact form of the Lindblad master equation for quantum systems, improving modeling precision and convergence in simulations.

Findings

Enhanced convergence radius by up to tenfold

Exact exchange interaction form derived

No additional computational cost incurred

Abstract

The theoretical description of the interplay between coherent evolution and chemical exchange, originally developed for magnetic resonance and later applied to other spectroscopic regimes, was derived under incorrect statistical assumptions. Correcting these assumptions provides access to the exact form of the exchange interaction, which we derive within the Lindblad master equation formalism for generality. The exact form of the interaction is only different from the traditional equation by a scalar correction factor derived from higher-order interactions and regularly improves the radius of convergence of the solution (hence increasing the allowable step size in calculations) by up to an order of magnitude for no additional computational cost.