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Decay of correlations in Fermi systems at nonzero temperature
1T-13 and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA. hastings@lanl.gov
Physical Review Letters
|September 28, 2004
Summary
Correlation functions in Fermi systems decay exponentially with temperature. This finding aids in the numerical simulation of quantum systems at nonzero temperatures.
Area of Science:
- Quantum physics
- Condensed matter theory
- Computational physics
Background:
- Understanding the behavior of quantum systems at finite temperatures is crucial.
- Correlation functions provide insights into the interactions and properties of quantum systems.
Purpose of the Study:
- To investigate the locality properties of correlation functions in Fermi systems at nonzero temperatures.
- To establish a theoretical framework for analyzing these correlations.
Main Methods:
- Analysis of correlation functions for short-range, lattice Hamiltonians.
- Derivation of exponential decay properties.
Main Results:
- Demonstrated that correlation functions decay exponentially for all short-range, lattice Hamiltonians.
- Established that the correlation length is inversely proportional to temperature at low temperatures.
Conclusions:
- The locality of correlation functions is a key feature of Fermi systems at nonzero temperatures.
- The findings have direct implications for improving numerical simulations of quantum systems.