Quantum Control of Interacting Bosons in Periodic Optical Lattice
Analabha Roy, Linda E. Reichl

TL;DR
This paper investigates how chaos-induced avoided crossings affect quantum control in an interacting two-boson system within an optical lattice, revealing coherence loss during adiabatic processes.
Contribution
It introduces a numerical study of quantum control using STIRAP in a two-boson optical lattice system, highlighting the impact of chaos on adiabatic transitions.
Findings
Chaos-induced avoided crossings disrupt adiabatic state transfer.
Coherence loss occurs in the final state due to these crossings.
Quantum control fidelity is compromised by chaotic dynamics.
Abstract
We study the avoided crossings in the dynamics of quantum controlled excitations for an interacting two-boson system in an optical lattice. Specifically, we perform numerical simulations of quantum control in this system where driving pulses connect the undriven stationary states in a manner characteristic of Stimulated Raman Adiabatic Passage (STIRAP). We demonstrate that the dynamics of such a transition is affected by chaos induced avoided crossings, resulting in a loss in coherence of the final outcome in the adiabatic limit.
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