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Related Experiment Videos

Spin-1/2 geometric phase driven by decohering quantum fields.

A Carollo1, I Fuentes-Guridi, M França Santos

  • 1Optics Section, The Blackett Laboratory, Imperial College, London SW7 2BZ, United Kingdom.

Physical Review Letters
|February 3, 2004
PubMed
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We calculated the geometric phase for a spin-1/2 system under quantum field driving and decoherence. Our findings reveal distinct phase corrections in adiabatic versus nonadiabatic evolutions, impacting quantum computation.

Area of Science:

  • Quantum Mechanics
  • Quantum Information Theory
  • Atomic, Molecular, and Optical Physics

Background:

  • Geometric phase is a fundamental concept in quantum mechanics, crucial for understanding quantum systems.
  • Decoherence significantly impacts quantum states, posing challenges for quantum computation and precision measurements.
  • Spin-1/2 systems are foundational in quantum information processing and fundamental physics experiments.

Purpose of the Study:

  • To calculate the geometric phase of a spin-1/2 system interacting with quantum fields.
  • To investigate the effects of decoherence on the geometric phase.
  • To analyze differences in phase corrections between adiabatic and nonadiabatic evolutions.

Main Methods:

  • Utilized the quantum jump approach to model the system's evolution under decoherence.

Related Experiment Videos

  • Calculated the geometric phase for a spin-1/2 system driven by one and two mode quantum fields.
  • Analyzed the system's dynamics under both adiabatic and nonadiabatic driving conditions.

    • Main Results:

    • Demonstrated that phase corrections in the no-jump trajectory differ for adiabatic and nonadiabatic evolutions.
    • Quantified the impact of decoherence on the geometric phase of the spin-1/2 system.
    • Identified distinct behaviors of geometric phase accumulation based on the driving field modes.

    Conclusions:

    • The study provides crucial insights into the behavior of geometric phase in dissipative quantum systems.
    • Results highlight the importance of considering evolution dynamics (adiabatic vs. nonadiabatic) for phase calculations.
    • Findings have implications for fundamental physics and the development of robust quantum computing protocols.