Undergraduate Honors Theses

Thesis Defended

Fall 2014

Document Type


Type of Thesis

Departmental Honors



First Advisor

Ana Maria Rey

Second Advisor

John Cumalat

Third Advisor

Alejandro Sarria


Contemporary experimental research in the field of atomic, molecular, and optical physics has made great progress in establishing fully controllable ultracold atomic systems. Applications of these controllable systems include precise atomic clocks [1] and quantum simulation [2]. Examples of controllable atomic systems include trapped ions [3], atomic systems interacting via the dipole-dipole interaction [4], and atoms trapped in optical lattices with superexchange interactions [5]. These systems have the potential to realize spin squeezing. Advancements in trapped ion experiments have led to control of long-range interactions between the ions. An interesting question to ask is how to maximize spin squeezing in these systems. The purpose of this thesis, therefore, is to analyze the effect that the range of the interactions has on spin squeezing. Numerical simulations are used to gain insight into the maximum amount of spin squeezing that can be generated. Throughout this thesis, Ramsey spectroscopy will be used as an example to understand potential applications of spin squeezing.