Eigenvalue and eigenspace anholonomies in hierarchical systems
classification
🪐 quant-ph
cond-mat.dis-nnmath-phmath.MP
keywords
anholonomiesquantumadiabaticcycleeigenspaceeigenstateseigenvaluearbitrarily
pith:S3WZ3HWD Add to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{S3WZ3HWD}
Prints a linked pith:S3WZ3HWD badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original abstract
An adiabatic cycle of parameters in a quantum system can yield the quantum anholonomies, nontrivial evolution not just in phase of the states, but also in eigenvalues and eigenstates. Such exotic anholonomies imply that an adiabatic cycle rearranges eigenstates even without spectral degeneracy. We show that an arbitrarily large quantum circuit generated by recursive extension can also exhibit the eigenvalue and eigenspace anholonomies.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.