Simulation of complete many-body quantum dynamics using controlled quantum-semiclassical hybrids

TL;DR

This paper introduces a hybrid quantum-semiclassical simulation method for many-boson systems, enabling longer and more accurate quantum dynamics predictions than traditional exact methods.

Contribution

A novel hybrid approach combining quantum and semiclassical methods is developed, extending the simulation times for many-body quantum systems beyond existing techniques.

Findings

Successfully simulates sodium BEC collision with 10^5 atoms

Achieves longer simulation times than exact quantum methods

Provides a general technique applicable to various systems

Abstract

A controlled hybridization between full quantum dynamics and semiclassical approaches (mean-field and truncated Wigner) is implemented for interacting many-boson systems. It is then demonstrated how simulating the resulting hybrid evolution equations allows one to obtain the full quantum dynamics for much longer times than is possible using an exact treatment directly. A collision of sodium BECs with 1.x10^5 atoms is simulated, in a regime that is difficult to describe semiclassically. The uncertainty of physical quantities depends on the statistics of the full quantum prediction. Cutoffs are minimised to a discretization of the Hamiltonian. The technique presented is quite general and extension to other systems is considered.