Dynamical properties from quantum Monte Carlo by the Maximum Entropy Method
An outstanding problem in the simulation of condensed matter phenomena is how to obtain dynamical information. We consider the numerical analytic continuation of imaginary time Quantum Monte Carlo data to obtain real frequency spectral functions. We suggest an image reconstruction approach which has been widely applied to data analysis in experimental research, the Maximum Entropy Method (MaxEnt). We report encouraging preliminary results for the Fano-Anderson model of an impurity state in a continuum. The incorporation of additional prior information, such as sum rules and asymptotic behavior, can be expected to significantly improve results. We also compare MaxEnt to alternative methods. 17 refs., 4 figs.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- DOE/ER
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 5639190
- Report Number(s):
- LA-UR-89-3094; CONF-8908106-2; ON: DE90001835
- Resource Relation:
- Conference: Los Alamos workshop on quantum simulations of condensed matter phenomena, Los Alamos, NM (USA), 8-11 Aug 1989
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
SPECTRAL FUNCTIONS
ENTROPY
IMAGE PROCESSING
IMAGES
MANY-BODY PROBLEM
MONTE CARLO METHOD
NUMERICAL SOLUTION
SIMULATION
THERMODYNAMICS
FUNCTIONS
PHYSICAL PROPERTIES
PROCESSING
THERMODYNAMIC PROPERTIES
656002* - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics