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Related Experiment Videos

Dynamic localization in quantum dots: analytical theory.

D M Basko1, M A Skvortsov, V E Kravtsov

  • 1The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34100 Trieste, Italy. basko@ictp.trieste.it

Physical Review Letters
|April 12, 2003
PubMed
Summary
This summary is machine-generated.

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We studied quantum corrections to energy absorption in quantum dots under time-dependent perturbations. The correction

Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Random-matrix theory

Background:

  • Quantum dots are complex quantum systems.
  • Time-dependent perturbations influence quantum systems.
  • Random-matrix theory describes quantum chaos.

Purpose of the Study:

  • Analyze quantum corrections to energy absorption rate in quantum dots.
  • Investigate the role of dephasing time in these corrections.
  • Compare behavior under different perturbation types.

Main Methods:

  • Utilized random-matrix theory (Gaussian orthogonal ensemble).
  • Analyzed response to time-dependent perturbations phi(t).
  • Calculated quantum correction to energy absorption rate.

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Main Results:

  • Quantum correction depends on dephasing time t(phi).
  • For multi-harmonic perturbations, correction mirrors conductivity in Anderson model.
  • Leading correction is absent for generic periodic perturbations, similar to unitary systems, unless specific symmetry is met.

Conclusions:

  • Quantum corrections exhibit universality classes based on perturbation symmetry.
  • The study links quantum dot energy absorption to Anderson localization phenomena.
  • Symmetry properties of perturbations are crucial for quantum correction behavior.