Given the eigenvalues of an ensemble of random matrices, unfoldr calculates the nearest-neighbor level spacings of the unfolded spectrum, either as a whole or for slices of it. You can specify how you want to cut the spectrum into slices — linearly, logarithmically —, and unfoldr will calculate the level spacings for each slice individually. With this you can study how the level spacing statistics change with energy and whether or not there is a phase transition in the spectrum.
Check out this blog post for more details.
The current branch continuous integration status:
unfoldr has been tested with Python 2.7 on 64-bit Linux and Mac OS X. It requires the following packages:
$ git clone git@github.com:tscholak/unfoldr.git
unfoldr uses the setuptools. From within the source code directory, run:
python setup.py install
Make sure your Python's bin
directory is in your $PATH
. On Mac OS X, if you use Macports and haven't done so already, add
export PATH=/opt/local/Library/Frameworks/Python.framework/Versions/2.7/bin:$PATH
to your ~/.bash_login
or ~/.bash_profile
file.
unfoldr reads input files one-by-one and processes them in parallel. The output file is written to once at the end of the program. The data in the output file can be analyzed statistically with histogramr.
usage: unfoldr [-h] [-V] [-q] [-v] [-D] -d <dsname> -m <mname> [-b <size>]
[-l <range>] [-L] [-p <size>] [-i] -o <outfile>
<infile> [<infile> ...]
unfold spectra of random matrices and Hamiltonians and calculate the nearest-
neighbor level spacings.
positional arguments:
<infile> name(s) of input file(s)
optional arguments:
-b <size>, --binning <size>
binning (default: inf)
-l <range>, --limits <range>
limits (default: [-1.7976931348623157e+308,
1.7976931348623157e+308])
-L, --l10 logarithmic binning (default: False)
-p <size>, --poolsize <size>
relative size of the unfolding pool (default: 2)
-i, --inmemory keep all data in memory (default: False)
mandatory arguments:
-d <dsname>, --dataset <dsname>
input data set (default: None)
-m <mname>, --member <mname>
input data set member (default: None)
-o <outfile>, --output <outfile>
name of output file (default: None)
other arguments:
-h, --help show this help message and exit
-V, --version show program's version number and exit
-q, --quiet quiet output (default: False)
-v, --verbose verbose output (default: False)
-D, --debug debug output (default: False)
Report bugs to: torsten.scholak+unfoldr@googlemail.com unfoldr home page:
<https://github.com/tscholak/unfoldr>
So far, unfoldr has unfolded spectra for the following publication(s):
- Torsten Scholak, Thomas Wellens, Andreas Buchleitner, "Spectral Backbone of Excitation Transport in Ultra-Cold Rydberg Gases", Phys. Rev. A 90, 063415 (2014)