Adiabatic coherent control in the anharmonic ion trap: Numerical analysis of vibrational anharmonicities

Wang, Lei; Babikov, Dmitri

doi:10.1103/PhysRevA.83.022305

Title: Adiabatic coherent control in the anharmonic ion trap: Numerical analysis of vibrational anharmonicities

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Authors:: Wang, Lei; Babikov, Dmitri

Publication Date:: Mon Feb 07 00:00:00 EST 2011

Sponsoring Org.:: USDOE

OSTI Identifier:: 1101523

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review A

Additional Journal Information:: Journal Volume: 83; Journal Issue: 2; Journal ID: ISSN 1050-2947

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

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                    Wang, Lei, and Babikov, Dmitri. Adiabatic coherent control in the anharmonic ion trap: Numerical analysis of vibrational anharmonicities.  United States: N. p., 2011. 
Web.  doi:10.1103/PhysRevA.83.022305.

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                    Wang, Lei, & Babikov, Dmitri. Adiabatic coherent control in the anharmonic ion trap: Numerical analysis of vibrational anharmonicities.  United States.  https://doi.org/10.1103/PhysRevA.83.022305

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                    Wang, Lei, and Babikov, Dmitri. Mon .  
"Adiabatic coherent control in the anharmonic ion trap: Numerical analysis of vibrational anharmonicities".  United States.  https://doi.org/10.1103/PhysRevA.83.022305.

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@article{osti_1101523,

  title        = {Adiabatic coherent control in the anharmonic ion trap: Numerical analysis of vibrational anharmonicities},

  author       = {Wang, Lei and Babikov, Dmitri},

  abstractNote = {},

  doi          = {10.1103/PhysRevA.83.022305},

  journal      = {Physical Review A},

  number       = 2,

  volume       = 83,

  place        = {United States},

  year         = {Mon Feb 07 00:00:00 EST 2011},

  month        = {Mon Feb 07 00:00:00 EST 2011}

}

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https://doi.org/10.1103/PhysRevA.83.022305

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Adiabatic coherent control in the anharmonic ion trap: Numerical analysis of vibrational anharmonicities

Journal Article Lei, Wang ; Babikov, Dmitri - Physical Review. A

Anharmonicity of the quantized motional states of ions in a Paul trap can be utilized to address the state-to-state transitions selectively and control the motional modes of trapped ions coherently and adiabatically [Zhao and Babikov, Phys. Rev. A 77, 012338 (2008)]. In this paper we study two sources of the vibrational anharmonicity in the ion traps: the intrinsic Coulomb anharmonicity due to ion-ion interactions and the external anharmonicity of the trapping potential. An accurate numerical approach is used to compute energies and wave functions of vibrational eigenstates. The magnitude of the Coulomb anharmonicity is determined and shown to be insufficientmore »« less
https://doi.org/10.1103/PHYSREVA.83.022305
Publisher's Note: Adiabatic coherent control in the anharmonic ion trap: Numerical analysis of vibrational anharmonicities [Phys. Rev. A 83, 022305 (2011)]

Journal Article Lei, Wang ; Babikov, Dmitri - Physical Review. A

No abstract prepared.
https://doi.org/10.1103/PHYSREVA.83.029906
Adiabatic coherent control in the anharmonic ion trap: Proposal for the vibrational two-qubit system

Journal Article Lei, Wang ; Babikov, Dmitri - Physical Review. A

A method for encoding a multiqubit system into the quantized motional states of ion string in an anharmonic linear trap is proposed. Control over this system is achieved by applying oscillatory electric fields (rf) shaped optimally for desired state-to-state transitions. Anharmonicity of the vibrational spectrum of the system plays a key role in this approach to the control and quantum computation, since it allows resolving different state-to-state transitions and addressing them selectively. The anharmonic trap architecture proposed earlier [Phys. Rev. A 83, 022305 (2011)] is explored here and the optimal control theory is used to derive pulses for a setmore »« less
https://doi.org/10.1103/PHYSREVA.83.052319
Adiabatic coherent control in the anharmonic ion trap: Proposal for the vibrational two-qubit system

Journal Article Wang, Lei ; Babikov, Dmitri - Physical Review A
Cited by 5
https://doi.org/10.1103/PhysRevA.83.052319
Coherently manipulating cold ions in separated traps by their vibrational couplings

Journal Article Miao, Zhang ; Wei, L F ; State Key Laboratory of Optoelectronic Materials and Technologies, School of Physics and Engineering, Sun Yat-sen University, Guangzhou 510275 ; ... - Physical Review. A

Recent experiments [K. R. Brown et al., Nature (London) 471, 196 (2011); M. Harlander et al., Nature (London) 471, 200 (2011)] have demonstrated the coherent manipulations on the external vibrations of two ions, confined individually in the separated traps. Using these recently developed techniques, we propose here an approach to realize the coherent operations, e.g., the universal quantum gates, between the separated ion-trap qubits encoded by two internal atomic states of the ions. Our proposal operates beyond the usual Lamb-Dicke limits and could be applied to the scalable ion traps coupled by their vibrations.
https://doi.org/10.1103/PHYSREVA.83.064301

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