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

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.

Final version with 1 figure and an explicit discussion of the underlying symmetry. Published as PRA 88, 012503 (2013)

References in corpus (7)

• Evaporative cooling of the dipolar radical OH
• Magneto-electrostatic trapping of ground state OH molecules
• Low-energy molecular collisions in a permanent magnetic trap
• OH hyperfine ground state: from precision measurement to molecular qubits
• Quantum state tomography by continuous measurement and compressed sensing
• $\Lambda$-doublet spectra of diatomic radicals and their dependence on fundamental constants
• Loss of molecules in magneto-electrostatic traps due to nonadiabatic transitions

Cited by in corpus (5)

• Hyperfine structure of the hydroxyl free radical (OH) in electric and magnetic fields
• All-electrical production of spin-polarized currents in carbon nanotubes: Rashba spin-orbit interaction
• Chiral symmetries associated with angular momentum
• Analytical study of level crossings in the Stark-Zeeman spectrum of ground state OH
• Spin squeezing an ultracold molecule