Solving sign problems with meron cluster algorithms : simulating field theories at non-zero chemical potential
Name
50419967-MIT.pdf
Description
Full printable version
Size
7.2 MB
Format
Adobe PDF
Checksum (MD5)
b9f584155a055e3fa699822a7067e416
Author(s)
Scarlet, Benjamin S., 1974-
Advisor(s)
Uwe-Jens Wiese.
Date Issued
2001
Publisher
Massachusetts Institute of Technology
Abstract
Numerical simulation of quantum systems develop sign problems upon the introduction of a chemical potential. The sign problem thus makes many interesting physical systems very difficult to study numerically. In this thesis, two related systems which develop sign problems in this way are considered: a D-Theory representation of a 1+1 dimensional 0(3) quantum field theory with a chemical potential, and antiferromagnetic Heisenberg quantum spin ladders in a magnetic field. In both cases, meron cluster algorithms are used to completely solve the sign problem. Using these algorithms, numerical results were generated in the two models for, respectively, the particle number as a function of the chemical potential and magnetization as a function of the external field. These results are in agreement with corresponding analytic predictions.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, February 2001.
Includes bibliographical references (p. 97-102) and index.
Subjects
Physics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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