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Quantum Manipulations of Single Trapped-Ions beyond the Lamb-Dicke Limit

Miao Zhang, L. F. Wei

InTech eBooksNov 30, 20100 citations

Validity of Lamb-Dicke Approximations in Ion-Trap Systems

蓝海江, 张淼, 韦联福

Chinese Physics LettersJan 1, 20100 citations

Preparation of Schrödinger cat states with cold ions beyond the Lamb–Dicke limit

Mang Feng

arXiv:quant-ph/0103112Physics Letters AApr 1, 20012 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

Validity of Lamb–Dicke Approximations in Ion-Trap Systems

Lan Hai-jiang, Miao Zhang, Lian-Fu Wei

The Lamb–Dicke (LD) approximation (LDA) is usually utilized to simplify the treatments for the dynamics of ion-trap systems, where the so-called LD parameters should be sufficiently small. In this Letter, based on the quantum dynamics of a single trapped ion beyond the LDA, we discuss the fidelities of the control-NOT (CNOT) gate generated by performing the usual LDA. It is shown that the fidelity of the generated CNOT gate under the LDA is sufficiently high for the current LD experiments, e.g., it reaches 99.9% for η = 0.20. The validity of the LDA is also discussed by calculating these fidelities for slightly larger LD parameters, e.g., η = 0.4, etc.The Lamb–Dicke (LD) approximation (LDA) is usually utilized to simplify the treatments for the dynamics of ion-trap systems, where the so-called LD parameters should be sufficiently small. In this Letter, based on the quantum dynamics of a single trapped ion beyond the LDA, we discuss the fidelities of the control-NOT (CNOT) gate generated by performing the usual LDA. It is shown that the fidelity of the generated CNOT gate under the LDA is sufficiently high for the current LD experiments, e.g., it reaches 99.9% for η = 0.20. The validity of the LDA is also discussed by calculating these fidelities for slightly larger LD parameters, e.g., η = 0.4, etc.

Chinese Physics LettersJan 1, 20100 citations

Trapping States of a Trapped Ion, Revisited

P. E. Toschek, Sascha Wallentowitz

Acta Physica Hungarica A) Heavy Ion PhysicsNov 1, 20060 citations

NOON state generation beyond the Lamb–Dicke limit in trapped-ion systems

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