Generation of arbitrary two dimensional motional state of a trapped ion

Abstract

We present a scheme to generate an arbitrary two-dimensional quantum state of motion of a trapped ion. This proposal is based on a sequence of laser pulses, which are tuned appropriately to control transitions on the sidebands of two modes of vibration. Not more than $(M+1)(N+1)$ laser pulses are needed to generate a pure state with upper phonon number $M$ and $N$ in the $x$ and $y$ direction respectively.

to appear in PRA

References in corpus (1)

• Generation of two-mode nonclassical motional states and a Fredkin gate operation in a two-dimensional ion trap

Cited by in corpus (5)

• Entangled state engineering of vibrational modes in a multi-membrane optomechanical system
• Entangled State Synthesis for Superconducting Resonators
• Engineering entangled microwave photon states via multiphoton interactions between two cavity fields and a superconducting qubit
• Generation and stabilization of entangled coherent states for the vibrational modes of a trapped ion
• Generating an entangled coherent state of two cavity modes in a three-level Λ- type atomic system