Correlation functions and correlation widths in quantum-chaotic scattering for mesoscopic systems and nuclei.
J G G S Ramos1, A L R Barbosa2, B V Carlson3
1Departamento de Física, Universidade Federal da Paraíba, 58051-970, João Pessoa, Paraíba, Brazil.
Physical Review. E
|February 13, 2016
Summary
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.
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.
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