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Robustness and diffusion of pointer states

Diosi1, Kiefer

  • 1Research Institute for Particle and Nuclear Physics, P.O. Box 49, H-1525 Budapest 114, Hungary.

Physical Review Letters
|October 13, 2000
PubMed
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Classical properties emerge in open quantum systems via decoherence. This study identifies the distinguished local basis (pointer basis) using three methods, revealing localized Gaussian pointer states governed by quantum Langevin equations.

Area of Science:

  • Quantum mechanics
  • Statistical physics
  • Quantum information science

Background:

  • Open quantum systems interact with their environment, leading to decoherence.
  • Decoherence is crucial for the emergence of classical properties from quantum systems.
  • Markovian master equations describe systems where environmental memory effects are negligible.

Purpose of the Study:

  • To derive the distinguished local basis (pointer basis) for open quantum systems under Markovian dynamics.
  • To explore different theoretical approaches for identifying pointer states.
  • To understand the nature and dynamics of these pointer states.

Main Methods:

  • Analyzing the system's non-unitary evolution to identify pointer states that best approximate local evolution.

Related Experiment Videos

  • Minimizing local entropy production as a criterion for selecting pointer states.
  • Ensuring robustness of quantum and classical uncertainties to define pointer states.
  • Deriving quantum Langevin equations to describe the formation and diffusion of pointer states.
  • Main Results:

    • Three distinct theoretical approaches converge on the same set of pointer states.
    • The identified pointer states are localized Gaussian states.
    • The formation and diffusion dynamics of these pointer states are accurately described by quantum Langevin equations.

    Conclusions:

    • The distinguished local basis in Markovian open quantum systems consists of localized Gaussian states.
    • Quantum Langevin equations provide a powerful tool for describing the dynamics of decoherence and pointer state formation.
    • This work offers a unified perspective on the emergence of classicality in quantum systems.