Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/9604010 · Physical Review A

Dark pair coherent states of the motion of a trapped ion

Shih-Chuan Gou, Jörg Steinbach, P. L. Knight

Published Aug 1, 1996• 119 citations
arXivHTMLPDF

Abstract

We propose a scheme for generating vibrational pair coherent states of the motion of an ion in a two-dimensional trap. In our scheme, the trapped ion is excited bichromatically by three laser beams along different directions in the $X\ensuremath{-}Y$ plane of the ion trap. We show that if the initial vibrational state is given by a two-mode Fock state, the final steady state, indicated by the extinction of the fluorescence emitted by the ion, is a pure state. The motional state of the ion in the equilibrium realizes that of the highly correlated pair coherent state.

DOI
10.1103/physreva.54.r1014

Related papers

Vibrational pair cat states

Shih-Chuan Gou, Jörg Steinbach, P. L. Knight

We propose a scheme for generating mesoscopic superpositions of two distinguishable pair coherent states of motion in a two-dimensional ion trap. In our scheme, the trapped ion is excited bichromatically by five laser beams along different directions in the X-Y plane of the ion trap. Four of these have the same frequency and can be derived from the same source, reducing the demands on the experimentalist. We show that if the initial vibrational state is given by a two-mode Fock state, as demonstrated in recent experiments, these highly correlated two-mode ``Schr\"odinger cat'' states are realized when the system reaches its steady state, which is indicated by the extinction of the fluorescence emitted by the ion. \textcopyright{} 1996 The American Physical Society.

Physical Review A•Nov 1, 1996•103 citations

Generation of two-mode squeezed pair-coherent states of the motion of a trapped ion

Shi‐Biao Zheng, Guang‐Can Guo

We propose a scheme for generating motional two-mode squeezed pair-coherent states of an ion trapped in a three-dimensional isotropic trap. It is based on the multichromatic excitation of the ion by six lasers in the x - y plane, and one in the z -axis. Under certain conditions, the system finally reaches the steady state, in which the vibrational motions in the x and y axes are in the two-mode squeezed pair-coherent state and the motion in the z -axis is in the vacuum state.

Quantum and Semiclassical Optics Journal of the European Optical Society Part B•Apr 1, 1998•10 citations

Generation and stabilization of entangled coherent states for the vibrational modes of a trapped ion

Zhi‐Rong Zhong, Xin-Jie Huang, Zhen‐Biao Yang +2 more

We propose a scheme for preparation of entangled coherent states for the motion of an ion in a two-dimensional anisotropic trap. In the scheme, the ion is driven by four laser beams along different directions in the ion trap plane, resulting in carrier excitation and couplings between the internal and external degrees of freedom. When the total quantum number of the vibrational modes initially has a definite parity, the competition between the unitary dynamics and spontaneous emission will force the system to evolve to a steady state, where the vibrational modes are in a two-mode cat state. We show that the method can be extended to realization of entangled coherent states for three vibrational modes of an ion in a three-dimensional anisotropic trap.

arXiv:1905.04702•Physical Review A•Sep 10, 2018•22 citations

Generation of motional pair coherent states in an anisotropic ion trap

Shi‐Biao Zheng

A scheme is proposed for generating motional pair coherent states of an ion in a two-dimensional anisotropic trap. In the scheme the ion is excited by two laser beams in the x - y plane. Under certain conditions, the system finally reaches the steady state given by the product of the ground electronic state with the motional pair coherent state. The scheme can be generalized to prepare pair cat states and two-mode SU (1,1) intelligent states in a two-dimensional anisotropic trap.

Journal of Optics B Quantum and Semiclassical Optics•Aug 23, 2001•10 citations

Generation of Pair Coherent States in Two-dimensional Trapped Ion

Kaige Wang, Sabrina Maniscalco, Anna Napoli +1 more

We consider a two-dimensional (2D) trapped ion model in which two laser beams drive the corresponding vibrational motions and are carrier resonant with the two-level of the ion. Due to the coherent superposition of two sub-Rabi oscillations involved in the bimodal vibrations, the Rabi frequency degeneration and offset may occur in this model. This provides the possibility of generating the pair coherent state in the 2D trapped ion.

Chinese Physics Letters•Feb 8, 2001•4 citations

Preparation of arbitrary pure states of two-dimensional motion of a trapped ion

Shi‐Biao Zheng

A scheme is proposed to generate an arbitrary entangled state of the two-dimensional vibrational motion of a trapped ion. In the scheme the ion is excited by a sequence of laser pulses tuned to the appropriate vibrational sidebands. In order to generate a pure state with upper phonon numbers M and N in the X and Y directions, respectively, we require no more than $(M+2)(N+1)$ operations.

Physical Review A•Dec 6, 2000•20 citations
We propose a scheme for generating vibrational pair coherent states of the motion of an ion in a two-dimensional trap. In our scheme, the trapped ion is excited bichromatically by three laser beams along different directions in the X\ensuremath−YX\ensuremath{-}YX\ensuremath−Y plane of the ion trap. We show that if the initial vibrational state is given by a two-mode Fock state, the final steady state, indicated by the extinction of the fluorescence emitted by the ion, is a pure state. The motional state of the ion in the equilibrium realizes that of the highly correlated pair coherent state.
We propose a scheme for generating mesoscopic superpositions of two distinguishable pair coherent states of motion in a two-dimensional ion trap. In our scheme, the trapped ion is excited bichromatically by five laser beams along different directions in the X-Y plane of the ion trap. Four of these have the same frequency and can be derived from the same source, reducing the demands on the experimentalist. We show that if the initial vibrational state is given by a two-mode Fock state, as demonstrated in recent experiments, these highly correlated two-mode ``Schr\"odinger cat'' states are realized when the system reaches its steady state, which is indicated by the extinction of the fluorescence emitted by the ion. \textcopyright{} 1996 The American Physical Society.
We propose a scheme for preparation of entangled coherent states for the motion of an ion in a two-dimensional anisotropic trap. In the scheme, the ion is driven by four laser beams along different directions in the ion trap plane, resulting in carrier excitation and couplings between the internal and external degrees of freedom. When the total quantum number of the vibrational modes initially has a definite parity, the competition between the unitary dynamics and spontaneous emission will force the system to evolve to a steady state, where the vibrational modes are in a two-mode cat state. We show that the method can be extended to realization of entangled coherent states for three vibrational modes of an ion in a three-dimensional anisotropic trap.
A scheme is proposed to generate an arbitrary entangled state of the two-dimensional vibrational motion of a trapped ion. In the scheme the ion is excited by a sequence of laser pulses tuned to the appropriate vibrational sidebands. In order to generate a pure state with upper phonon numbers M and N in the X and Y directions, respectively, we require no more than (M+2)(N+1)(M+2)(N+1)(M+2)(N+1) operations.