arXiv:atom-ph/9605010

Analytic Description of the Motion of a Trapped Ion in an Even or Odd Coherent State

Michael Martin Nieto

Published May 24, 1996• 0 citations

Abstract

A completely analytic description is given of the motion of a trapped ion which is in either an even or an odd coherent state. Comparison to recent theoretical and experimental work is made.

DOI: 10.48550/arxiv.atom-ph/9605010

Related papers

Analytic description of the motion of a trapped ion in an even or odd squeezed state

Michael Martin Nieto

arXiv:atom-ph/9606006Physics Letters AAug 1, 199626 citations

Dynamics of Entanglement for Coherent Motional States of Two Trapped Ions in Cascaded Optical Cavities

Gao‐xiang Li, Zhang Fan, Shaoping Wu

We study the generation of an entangled motional coherent state of two distant ions trapped in two cascaded cavities, in which the motional mode of the each ion is coupled to the respective cavity field via a linear-mixing interaction. The master equation is solved analytically by using the characteristic function method. It is found that the generated entangled coherent state resulted from the initial preparation of an even coherent state is more robust than that from an odd coherent state under the dissipation of the cavity.

Chinese Physics LettersJan 30, 20063 citations

Generation of superpositions of coherent states of the motion of a trapped ion

Shi‐Biao Zheng, Guang‐Can Guo

The European Physical Journal DJan 1, 199824 citations

Even and Odd Coherent States of the Motion of a Trapped Ion

R. L. de Matos Filho, W. Vogel

We propose a scheme for generating even and odd coherent states of the motion of a trapped ion via laser excitation of two vibronic transitions. These quantum superposition states emerge from the long-time dynamics, when the ion decouples from the laser fields and remains in a pure state given by the product of the electronic ground state with a quantum superposition of coherent states of the vibrational motion.

Physical Review LettersJan 22, 1996240 citations

A proposal for generating Schrödinger cat states of the motion of a trapped ion

Shi‐Biao Zheng

Physics Letters AAug 1, 199816 citations

Generations of macroscopic quantum states of a single trapped ion beyond the Lamb–Dicke limit

Qinghong Yang, L. F. Wei, Liangyu Ding

On the basis of the quantum dynamics of laser–ion interaction beyond the Lamb–Dicke limit, we show how the macroscopic quantum states, typically, e.g., the even/odd coherent states, of a single trapped cold ion can be effectively approached via the superpositions of motional Fock states generated from the motional ground state. The fidelity and experimental realizability of this approach are discussed.

Journal of Optics B Quantum and Semiclassical OpticsNov 18, 20043 citations