Distilling Angular Momentum Eigenstates

K. Tamvakis

Brian P. Anderson

Benedetto Militello, ANTONINO MESSINA

In the spirit of quantum nondemolition measurements, we show that by exploiting suitable vibronic couplings and repeatedly measuring the atomic population of a confined ion, it is possible to distill center-of-mass vibrational states with a well-defined square of angular momentum or, alternatively, angular momentum projection Schr\"odinger cat states.

Ahmad Aqwa Rosli, Nurisya Mohd Shah

The purpose of this work is to investigate the mathematical structure of finite quantum angular momentum in a specific direction L3 which can be constructed from the representation of the U(1) group. The angular momentum eigenstate is invariant under Abelian rotation symmetry. The character group of U(1) is constructed to show that there exists an additive unitary operator for the angular momentum eigenstate, and the rotation eigenstate is invariant under it. The Weyl relation is proved by showing that the angle and angular momentum L3 are the canonical conjugate pair of observables.

Efstratios Manousakis

Abstract This chapter discusses addition of angular momentum. This implies that it discusses how to build eigenstates of the total angular momentum and its projection from eigenstates of the individual angular momenta and their projections. It discusses Clebsh–Gordan coefficients.