Quantum state engineering with a trapped atom and a set of static impurities

TL;DR

This paper presents an analytical approach to quantum state engineering using a single trapped atom interacting with static impurities, enabling control over entanglement and serving as a foundation for complex quantum system studies.

Contribution

It provides an analytical solution for a trapped atom with multiple static impurities, highlighting trap-induced resonances for entanglement generation.

Findings

Multiple trap-induced resonances identified for two impurities.

Analytical solution developed for the system.

Potential applications in quantum simulation and entanglement.

Abstract

Hybrid systems of ultracold atoms and trapped ions or Rydberg atoms can be useful for quantum simulation purposes. By tuning the geometric arrangement of the impurities it is possible to mimic solid state and molecular systems. Here we study a single trapped atom interacting with a set of arbitrarily arranged static impurities and show that the problem admits an analytical solution. We analyze in detail the case of two impurities, finding multiple trap-induced resonances which can be used for entanglement generation. Our results serve as a building block for the studies of quantum dynamics of complex systems.