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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Driven quantum coarsening.

Camille Aron1, Giulio Biroli, Leticia F Cugliandolo

  • 1Université Pierre et Marie Curie - Paris VI, LPTHE UMR 7589, 4 Place Jussieu, 75252 Paris Cedex 05, France.

Physical Review Letters
|March 5, 2009
PubMed
Summary
This summary is machine-generated.

This study reveals universal slow relaxation in driven quantum coarsening systems. Even at zero temperature, quantum dynamics mimic classical behavior on large scales.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Dynamics
  • Statistical Mechanics

Background:

  • Quantum coarsening describes the relaxation dynamics of quantum systems towards ordered states.
  • Driven systems, subjected to external forces like chemical potential gradients, can exhibit unique non-equilibrium behaviors.
  • Understanding quantum coarsening under driving is crucial for fields like quantum computing and materials science.

Purpose of the Study:

  • To investigate the driven dynamics of quantum coarsening in a model of M-component rotors.
  • To derive the dynamical phase diagram for this system in the large M limit.
  • To identify universal features in the relaxation dynamics of driven quantum systems.

Main Methods:

  • Analysis of M-component rotors coupled to two electronic reservoirs at different chemical potentials.
  • Derivation of the dynamical phase diagram as a function of temperature, quantum fluctuations, voltage, and lead coupling.
  • Comparison of quantum dynamics with classical stochastic models on large time and length scales.

Main Results:

  • A detailed dynamical phase diagram was derived for the driven quantum coarsening system.
  • The slow relaxation in the ordering phase was found to be universal.
  • Quantum system dynamics at zero temperature, when driven out of equilibrium, were shown to be analogous to classical stochastic dynamics on large scales.

Conclusions:

  • The study provides insights into the universal behavior of driven quantum coarsening.
  • The findings suggest that classical analogies can be relevant for understanding non-equilibrium quantum dynamics.
  • The results are applicable to generic driven quantum coarsening phenomena.