Adiabatic state preparation of interacting two-level systems

TL;DR

This paper investigates how adiabatic rapid passage can be used to excite interacting two-level systems, revealing how interactions affect the necessary pulse shapes and bandwidths for effective state preparation.

Contribution

It provides a theoretical analysis of ARP in many-body quantum systems, including models with interactions, and identifies how interaction strength influences pulse design.

Findings

Interactions increase the bandwidth needed for state transfer.

ARP can successfully prepare states despite interactions.

Pulse shape requirements depend on interaction strength.

Abstract

We consider performing adiabatic rapid passage (ARP) using frequency-swept driving pulses to excite a collection of interacting two-level systems. Such a model arises in a wide range of many-body quantum systems, such as cavity QED or quantum dots, where a nonlinear component couples to light. We analyze the one-dimensional case using the Jordan-Wigner transformation, as well as the mean field limit where the system is described by a Lipkin-Meshkov-Glick Hamiltonian. These limits provide complementary insights into the behavior of many-body systems under ARP, suggesting our results are generally applicable. We demonstrate that ARP can be used for state preparation in the presence of interactions, and identify the dependence of the required pulse shapes on the interaction strength. In general interactions increase the pulse bandwidth required for successful state transfer, introducing new restrictions on the pulse forms required.