Nonclassical states and measurement of general motional observables of a trapped ion
- 1 March 1997
- journal article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 55 (3) , 1683-1694
- https://doi.org/10.1103/physreva.55.1683
Abstract
We describe a method to perform a single quantum measurement of an arbitrary motional observable of a single ion moving in a harmonic potential. We illustrate the measurement procedure with explicit examples, namely the position and phase observables. A necessary tool for this is the ability to synthesize an arbitrary motional state. In addition, we show how to generalize this to higher dimensions, and show explicit examples of how to engineer states in two spatial dimensions, including a proposed experimental configuration.Keywords
This publication has 22 references indexed in Scilit:
- Endoscopy in the Paul Trap: Measurement of the Vibratory Quantum State of a Single IonPhysical Review Letters, 1996
- A “Schrödinger Cat” Superposition State of an AtomScience, 1996
- Motion tomography of a single trapped ionPhysical Review A, 1996
- Generation of Nonclassical Motional States of a Trapped AtomPhysical Review Letters, 1996
- Mesoscopic quantum coherences in cavity QED: Preparation and decoherence monitoring schemesPhysical Review A, 1996
- Arbitrary Control of a Quantum Electromagnetic FieldPhysical Review Letters, 1996
- Demonstration of a Fundamental Quantum Logic GatePhysical Review Letters, 1995
- Reconstruction of the Quantum Mechanical State of a Trapped IonPhysical Review Letters, 1995
- Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phasePhysical Review A, 1989
- Unitary Phase Operator in Quantum MechanicsEurophysics Letters, 1988