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Geometric phase in open systems.

A Carollo1, I Fuentes-Guridi, M França Santos

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

Physical Review Letters
|May 7, 2003
PubMed
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We calculated the geometric phase of quantum systems undergoing decoherence using a quantum-jump method. The geometric phase is unaffected by dephasing, a common source of quantum system errors.

Area of Science:

  • Quantum mechanics
  • Quantum information science

Background:

  • Decoherence is a major challenge in quantum systems, leading to loss of quantum information.
  • Understanding the effects of decoherence on quantum properties like geometric phase is crucial for quantum technologies.

Purpose of the Study:

  • To calculate the geometric phase of a quantum system subjected to decoherence.
  • To investigate the impact of different decoherence mechanisms, specifically dephasing and spontaneous decay, on the geometric phase.

Main Methods:

  • Utilized a quantum-jump approach to model the evolution of quantum systems under decoherence.
  • Applied the method to systems experiencing dephasing and spontaneous decay.

Main Results:

  • The geometric phase was found to be completely insensitive to dephasing.

Related Experiment Videos

  • The calculated geometric phase is independent of the number of quantum jumps induced by the dephasing operator.

    • Conclusions:

    • The quantum-jump approach provides a general method for studying geometric phase in decoherent systems.
    • Dephasing does not alter the geometric phase, suggesting robustness of this quantum property against this specific type of noise.