Driving interactions efficiently in a composite few-body system

TL;DR

This paper explores efficient control of a three-boson system by modulating interactions, employing shortcuts to adiabaticity to minimize excitations and achieve targeted eigenstates.

Contribution

It introduces optimized interaction modulation protocols for few-body bosonic systems, including complex dynamics in unbalanced subsystems and methods to suppress excitations.

Findings

Successful control of interaction-driven state transitions.

Identification of complex dynamics due to symmetry breaking.

Effective use of shortcuts to adiabaticity to minimize excitations.

Abstract

We study how to efficiently control an interacting few-body system consisting of three harmonically trapped bosons. Specifically we investigate the process of modulating the interparticle interactions to drive an initially non-interacting state to a strongly interacting one, which is an eigenstate of a chosen Hamiltonian. We also show that for unbalanced subsystems, where one can individually control the different inter- and intra-species interactions, complex dynamics originates when the symmetry of the ground state is broken by phase separation. However, as driving the dynamics too quickly can result in unwanted excitations of the final state, we optimize the driven processes using shortcuts to adiabaticity, which are designed to reduce these excitations at the end of the interaction ramp ensuring that the target eigenstate is reached.