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Topological phases for composite particles with dynamic properties.

S A R Horsley1, M Babiker

  • 1Department Of Physics, University Of York, Heslington, York YO10 5DD, United Kingdom.

Physical Review Letters
|October 13, 2007
PubMed
Summary
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Varying electromagnetic properties during topological phase evolution impact observable phenomena. Both the time average and statistical variance of these properties are crucial for understanding topological and dynamical phases.

Area of Science:

  • Quantum mechanics
  • Particle physics
  • Electromagnetism

Background:

  • Topological phases accrue in quantum systems under specific evolutions.
  • Electromagnetic properties of particles can influence quantum phenomena.
  • The Aharonov-Casher and He-McKellar-Wilkens effects are key examples of topological phase acquisition.

Purpose of the Study:

  • To investigate how a varying electromagnetic property affects the topological phase of a particle.
  • To determine the roles of time average and statistical variance of this property on observable phenomena.
  • To provide theoretical and illustrative examples using established quantum effects.

Main Methods:

  • Theoretical analysis of particle evolution with a time-dependent electromagnetic property.

Related Experiment Videos

  • Mathematical formulation to distinguish contributions from the time average and variance.
  • Application of the theory to the Aharonov-Casher and He-McKellar-Wilkens effects.

    • Main Results:

    • The time average of the electromagnetic property influences the topological component of the phase.
    • The statistical variance of the property contributes a separate, smaller dynamical phase term.
    • Observable phenomena are demonstrably affected by both the average and variance of the property.

    Conclusions:

    • A comprehensive understanding of topological phase evolution requires considering both the average and variance of dynamic electromagnetic properties.
    • The presented theory offers a refined model for analyzing quantum phenomena influenced by time-varying particle characteristics.
    • This work deepens the understanding of topological phases and their dependence on particle properties in quantum mechanics.