Ground-state OH molecule in combined electric and magnetic fields: Analytic solution of the effective Hamiltonian

TL;DR

This paper provides an exact analytical solution to the ground-state Hamiltonian of the OH molecule under combined electric and magnetic fields, facilitating advanced control and quantum simulation applications.

Contribution

It presents the first exact solution to the effective ground-state Stark-Zeeman Hamiltonian of OH, revealing its chiral symmetry and enabling precise manipulation strategies.

Findings

Exact solvability of the 8D Hamiltonian

Identification of chiral symmetry in the system

Potential for quantum simulation of Ising models

Abstract

The OH molecule is currently of great interest from the perspective of ultracold chemistry, quantum fluids, precision measurement and quantum computation. Crucial to these applications are the slowing, guiding, confinement and state control of OH, using electric and magnetic fields. In this article, we show that the corresponding eight-dimensional effective ground state Stark-Zeeman Hamiltonian is exactly solvable and explicitly identify the underlying chiral symmetry. Our analytical solution opens the way to insightful characterization of the magnetoelectrostatic manipulation of ground state OH. Based on our results, we also discuss a possible application to the quantum simulation of an imbalanced Ising magnet.