Journal article
Calculation of the partition function using quantum genetic algorithms



Publication Details
Authors:
Grigorenko, I.; Garcia, M.
Publisher:
ELSEVIER SCIENCE BV
Publication year:
2002
Journal:
Physica A: Statistical Mechanics and its Applications
Pages range:
463-470
Volume number:
313
Start page:
463
End page:
470
Number of pages:
8
ISSN:
0378-4371

Abstract
We present a new method based on genetic algorithms which permits to determine efficiently the partition function and the excitation spectrum of few-body quantum systems. In our approach, we use a variational formulation for the partition function Z of the system as a functional of its eigenfunctions. Z is obtained by applying the procedure of survival of the fittest, starting from initial random population. During the evolution the best representative converges to a set of eigenfunctions for a given Hamiltonian, while the partition function attains its global extremum (maximum) for a given temperature. We calculate the spectrum and the partition function in the case of few interacting particles in one-dimensional infinite potential well. We investigate formation of the Wigner crystal and study its melting induced by termal and quantum fluctuations. (C) 2002 Elsevier Science B.V. All rights reserved.


Keywords
genetic algorithms, partition function, Wigner molecule


Authors/Editors

Last updated on 2019-25-07 at 11:36