Multiconfigurational quantum propagation with trajectory-guided generalized coherent states

TL;DR

This paper introduces an extended coupled coherent states method capable of propagating quantum states with diverse physical properties, demonstrated through models involving bosons in double- and triple-well potentials.

Contribution

The authors develop a generalized coupled coherent states method applicable to arbitrary Lie groups, expanding beyond the frozen-Gaussian basis limitation.

Findings

Successfully applied to models of interacting bosons in double- and triple-well potentials

Able to handle systems with spin degrees of freedom and particle indistinguishability

Demonstrates versatility for diverse quantum systems

Abstract

A generalized version of the coupled coherent states method for coherent states of arbitrary Lie groups is developed. In contrast to the original formulation, which is restricted to frozen-Gaussian basis sets, the extended method is suitable for propagating quantum states of systems featuring diversified physical properties, such as spin degrees of freedom or particle indistinguishability. The approach is illustrated with simple models for interacting bosons trapped in double- and triple-well potentials, most adequately described in terms of SU(2) and SU(3) bosonic coherent states, respectively.