Fermion Mapping for Orthogonal and Symplectic Ensembles
M.B. Hastings
TL;DR
This paper maps the circular orthogonal and symplectic ensembles onto free fermion systems and calculates their two-level form factors, providing a new approach to analyze these ensembles.
Contribution
It introduces a fermion mapping for orthogonal and symplectic ensembles and computes their two-level form factors, offering novel analytical tools.
Findings
Successful fermion mapping of ensembles
Calculation of two-level form factors
Provides new analytical framework
Abstract
The circular orthogonal and circular symplectic ensembles are mapped onto free, non-hermitian fermion systems. As an illustration, the two-level form factors are calculated.
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Taxonomy
TopicsAtomic and Subatomic Physics Research · Cold Atom Physics and Bose-Einstein Condensates · Rare-earth and actinide compounds