Sampling of quantum dynamics at long time

TL;DR

This paper introduces a new sampling method for quantum dynamics that conserves energy and significantly improves accuracy over previous schemes, enabling better theoretical analysis of complex many-body systems.

Contribution

It presents a novel transition probability scheme in a piecewise adiabatic framework that enhances long-time quantum dynamics simulations.

Findings

Achieves nearly tenfold accuracy improvement.

Provides a new approach for coherent many-body system calculations.

Demonstrates significant performance gains over existing methods.

Abstract

The principle of energy conservation leads to a generalized choice of transition probability in a piecewise adiabatic representation of quantum(-classical) dynamics. Significant improvement (almost an order of magnitude, depending on the parameters of the calculation) over previous schemes is achieved. Novel perspectives for theoretical calculations in coherent many-body systems are opened.