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

Chinese Physics Letters

Engineering Two-Mode Squeezed Vacuum Motional State of a Single Intracavity Trapped Ion

Huatang Tan, Tan Rong, Gao‐xiang Li

Published Mar 1, 2008• 1 citation
Publisher

Abstract

We propose to generate two-mode squeezed vacuum motional state of an intracavity trapped ion by taking the advantage of the dissipation of the cavity mode. At the first step, the steady and pure two-mode motional entanglement between two motional degrees of the cold ion is obtained by engineering the couplings of both the motional modes of the ion to the cavity field. Based on the first step, a two-mode squeezed vacuum motional state is then generated by manipulating the phases of the external laser pulses incident on the ion.

DOI
10.1088/0256-307x/25/3/038

Related papers

Deterministic generation of a pure continuous-variable entangled state for two ions trapped in a cavity

Gao‐xiang Li, Hua-Tang Tan, Shaoping Wu +1 more

Two different schemes are proposed for deterministically generating a pure motion-entangled state for two well-separated ions trapped in a cavity. The first one is that through adjusting the amplitudes and the frequencies of transverse lasers, the two ions trapped in a bimodal cavity can unconditionally evolve into a two-mode squeezed vacuum state with the aid of the cavity dissipation. The second one is based on the interactions of two appropriate series of the driving laser pulses with the two ions trapped in a single-mode cavity, it allows us to produce a two-mode squeezed vacuum state for the trapped ions' center-of-mass motion.

Physical Review A•Aug 10, 2006•12 citations

Generation of two-mode nonclassical states and a quantum-phase-gate operation in trapped-ion cavity QED

Xu‐Bo Zou, K. Pahlke, Wolfgang M. Mathis

We propose a scheme to generate nonclassical states of a quantum system, which is composed of the one-dimensional trapped-ion motion and a single-cavity field mode. We show that two-mode SU(2), entangled coherent states, two-mode squeezed vacuum states, and their superposition can be generated. If the vibration mode and the cavity mode are used to represent separately a qubit, a quantum phase gate can be implemented.

arXiv:quant-ph/0204070•Physical Review A•Jun 5, 2002•42 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

Preparation of Squeezed State and Entanglement State Between Vibrational Motion of Trapped Ion and Light

Zhong-Jie Wang

Several schemes have been proposed to prepare two-mode squeezed state and entanglement state between motional states of a single trapped ion and light. Preparation of two-mode squeezed state is based on interaction of a trapped ion located in light cavity with cavity field. Preparation of entanglement state is based on interaction of a trapped ion located in light cavity with cavity field and a traveling wave light field.

Communications in Theoretical Physics•Dec 1, 2010•1 citation

Generation of entanglement and squeezing in the system of two ions trapped in a cavity

Gao‐xiang Li, Shao‐ping Wu, J. F. Hu

The dynamical behavior of the entanglement and the squeezing in the system of two ions trapped in a lossy optical cavity is discussed, in which the vibrational mode of the first ion is coupled to the cavity field via a linear-mixing interaction and the vibrational mode of the second ion is coupled to the cavity field via an effective parametric interaction, respectively. It is found that when the effective strength ${r}_{1}$ of the coupling between the first ion and the cavity field is stronger than the strength ${r}_{2}$ of the coupling between the second ion and the cavity field, the motional state of the two ions develops into a robust two-mode mixed Gaussian entangled state and the two-mode squeezing of phonons appears. But the entanglement between the cavity mode and the vibrational mode of the second ion can only happen periodically in a small time range. When ${r}_{1}<{r}_{2}$, only the entanglement between the two vibrational modes appears but the two-mode squeezing does not exist. And the entanglement between the cavity mode and the motional mode of the second ion can also take place in a small time range.

Physical Review A•Jun 24, 2005•41 citations

Nonclassical properties and generation of excited entangled coherent states of motion of a trapped ion

Zhongjie Wang

We studied the two-mode squeezing of excited entangled coherent states and found that the deeper the two-mode squeezing, the larger the excitation number. In the end, we proposed a new method for preparing two-mode excited entangled coherent states of vibrational motion of a trapped ion by applying the interaction of a single two-mode trapped ion with many traveling wave light fields with different frequencies.

Physica Scripta•Jan 28, 2011•1 citation
We propose to generate two-mode squeezed vacuum motional state of an intracavity trapped ion by taking the advantage of the dissipation of the cavity mode. At the first step, the steady and pure two-mode motional entanglement between two motional degrees of the cold ion is obtained by engineering the couplings of both the motional modes of the ion to the cavity field. Based on the first step, a two-mode squeezed vacuum motional state is then generated by manipulating the phases of the external laser pulses incident on the ion.
Two different schemes are proposed for deterministically generating a pure motion-entangled state for two well-separated ions trapped in a cavity. The first one is that through adjusting the amplitudes and the frequencies of transverse lasers, the two ions trapped in a bimodal cavity can unconditionally evolve into a two-mode squeezed vacuum state with the aid of the cavity dissipation. The second one is based on the interactions of two appropriate series of the driving laser pulses with the two ions trapped in a single-mode cavity, it allows us to produce a two-mode squeezed vacuum state for the trapped ions' center-of-mass motion.
The dynamical behavior of the entanglement and the squeezing in the system of two ions trapped in a lossy optical cavity is discussed, in which the vibrational mode of the first ion is coupled to the cavity field via a linear-mixing interaction and the vibrational mode of the second ion is coupled to the cavity field via an effective parametric interaction, respectively. It is found that when the effective strength r1{r}_{1}r1​ of the coupling between the first ion and the cavity field is stronger than the strength r2{r}_{2}r2​ of the coupling between the second ion and the cavity field, the motional state of the two ions develops into a robust two-mode mixed Gaussian entangled state and the two-mode squeezing of phonons appears. But the entanglement between the cavity mode and the vibrational mode of the second ion can only happen periodically in a small time range. When r1<r2{r}_{1}<{r}_{2}r1​<r2​, only the entanglement between the two vibrational modes appears but the two-mode squeezing does not exist. And the entanglement between the cavity mode and the motional mode of the second ion can also take place in a small time range.