Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors

Xiao Jing Lu; Xi Chen; A. Ruschhaupt; D. Alonso; S. Guérin; J. G. Muga

doi:10.1103/PhysRevA.88.033406

Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors

Xiao Jing Lu
, Xi Chen
, A. Ruschhaupt
, D. Alonso
, S. Guérin
, J. G. Muga

School of Physics

Shanghai University
University of the Basque Country
University of La Laguna
Université de Bourgogne

Research output: Contribution to journal › Article › peer-review

Abstract

We design, by invariant-based inverse engineering, driving fields that invert the population of a two-level atom in a given time, robustly with respect to dephasing noise and/or systematic frequency shifts. Without imposing constraints, optimal protocols are insensitive to the perturbations but need an infinite energy. For a constrained value of the Rabi frequency, a flat π pulse is the least sensitive protocol to phase noise but not to systematic frequency shifts, for which we describe and optimize a family of protocols.

Original language	English
Article number	033406
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	88
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.88.033406
Publication status	Published - 5 Sep 2013

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10.1103/PhysRevA.88.033406

https://hdl.handle.net/10468/4488Licence: CC BY-NC-ND

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abstract = "We design, by invariant-based inverse engineering, driving fields that invert the population of a two-level atom in a given time, robustly with respect to dephasing noise and/or systematic frequency shifts. Without imposing constraints, optimal protocols are insensitive to the perturbations but need an infinite energy. For a constrained value of the Rabi frequency, a flat π pulse is the least sensitive protocol to phase noise but not to systematic frequency shifts, for which we describe and optimize a family of protocols.",

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AU - Lu, Xiao Jing

AU - Chen, Xi

AU - Ruschhaupt, A.

AU - Alonso, D.

AU - Guérin, S.

AU - Muga, J. G.

PY - 2013/9/5

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N2 - We design, by invariant-based inverse engineering, driving fields that invert the population of a two-level atom in a given time, robustly with respect to dephasing noise and/or systematic frequency shifts. Without imposing constraints, optimal protocols are insensitive to the perturbations but need an infinite energy. For a constrained value of the Rabi frequency, a flat π pulse is the least sensitive protocol to phase noise but not to systematic frequency shifts, for which we describe and optimize a family of protocols.

AB - We design, by invariant-based inverse engineering, driving fields that invert the population of a two-level atom in a given time, robustly with respect to dephasing noise and/or systematic frequency shifts. Without imposing constraints, optimal protocols are insensitive to the perturbations but need an infinite energy. For a constrained value of the Rabi frequency, a flat π pulse is the least sensitive protocol to phase noise but not to systematic frequency shifts, for which we describe and optimize a family of protocols.

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DO - 10.1103/PhysRevA.88.033406

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Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors

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