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Correlation functions and correlation widths in quantum-chaotic scattering for mesoscopic systems and nuclei.

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We derived analytical expressions for quantum dot conductance fluctuations. A significant deviation from the Weisskopf estimate was found for energy variation in two-terminal systems.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Mesoscopic systems

Background:

  • Electronic conductance fluctuations in open quantum dots are crucial for understanding quantum chaos.
  • Correlation functions provide insights into the statistical properties of these fluctuations.
  • External parameters like magnetic fields influence quantum transport.

Purpose of the Study:

  • To derive analytical expressions for correlation functions of electronic conductance fluctuations in open quantum dots.
  • To investigate the impact of energy variation and external fields (magnetic) on these fluctuations.
  • To calculate the ensemble-averaged density of maxima and determine correlation widths.

Main Methods:

  • Derivation of analytical expressions for correlation functions.
  • Analysis of conductance fluctuations under energy variation and magnetic fields.
  • Calculation of ensemble-averaged density of maxima and correlation widths.

Main Results:

  • Analytical expressions for correlation functions were successfully derived.
  • A significant deviation from the Weisskopf estimate was observed for the correlation width in two-terminal systems under energy variation.
  • The findings were extended to systems with more than two terminals.

Conclusions:

  • The derived analytical expressions offer valuable tools for studying quantum dot conductance fluctuations.
  • The deviation from the Weisskopf estimate highlights unique characteristics of chaotic quantum systems.
  • The results have potential applications in nuclear physics and other fields studying energy-dependent phenomena.