Coherent Control of Trapped Bosons

TL;DR

This paper explores how chaos influences quantum control in a two-boson ultracold gas system, demonstrating that chaotic dynamics can be harnessed to manipulate state transitions via STIRAP.

Contribution

It introduces the concept of using chaos to control quantum excitations in mesoscopic bosonic systems, linking classical chaos with quantum control techniques.

Findings

Quantum Poincare maps show chaos in phase space regions where classical and quantum dynamics intersect.

Chaotic dynamics can be exploited to control STIRAP transitions in ultracold bosonic systems.

Chaos-induced control offers new avenues for manipulating quantum states in mesoscopic systems.

Abstract

We investigate the quantum behavior of a mesoscopic two-boson system produced by number-squeezing ultracold gases of alkali metal atoms. The quantum Poincare maps of the wavefunctions are affected by chaos in those regions of the phase space where the classical dynamics produces features that are comparable to hbar. We also investigate the possibility for quantum control in the dynamics of excitations in these systems. Controlled excitations are mediated by pulsed signals that cause Stimulated Raman Adiabatic passage (STIRAP) from the ground state to a state of higher energy. The dynamics of this transition is affected by chaos caused by the pulses in certain regions of the phase space. A transition to chaos can thus provide a method of controlling STIRAP.