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Two-level systems with relaxation.

David E Rourke1, Larisa Khodarinova, Alexander A Karabanov

  • 1Magnetic Resonance Centre, School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, England.

Physical Review Letters
|June 1, 2004
PubMed
Summary
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This study introduces a new method for controlling quantum systems, even with significant T2 relaxation. It enables high-fidelity coherent control by extending pulse design techniques to account for relaxation effects.

Area of Science:

  • Quantum Control
  • Magnetic Resonance
  • Coherent Optics

Background:

  • Coherent control of two-level systems is crucial in quantum technologies.
  • T2 relaxation significantly impacts the fidelity of coherent control.
  • Existing methods often struggle to compensate for T2 relaxation effects.

Purpose of the Study:

  • To develop a method for coherent control of two-level systems in the presence of significant T2 relaxation.
  • To extend Schur-type iteration for designing shaped pulses that account for T2 effects.
  • To demonstrate the practical compensation of T2 relaxation in quantum control.

Main Methods:

  • Rewriting Bloch equations as an equation of motion for the stereographic projection (Gamma) of the spin vector.
  • Extending Schur-type iteration to incorporate T2 relaxation into pulse design.

Related Experiment Videos

  • Designing a driving field to achieve a desired coherent superposition.

    • Main Results:

    • A novel method for coherent control is presented, effective even with substantial T2 relaxation.
    • The extended Schur-type iteration successfully incorporates T2 effects into pulse design.
    • A driving field was designed to create a coherent superposition across a frequency band, despite relaxation.

    Conclusions:

    • The presented method allows for effective coherent control of two-level systems with significant T2 relaxation.
    • While complete compensation of T2 effects on Gamma is generally not possible, high degrees of compensation are achievable in practice.
    • The technique offers a pathway to improved fidelity in quantum control applications affected by relaxation.