The FermiFab toolbox for fermionic many-particle quantum systems. (English) Zbl 1262.81272
Summary: This paper introduces the FermiFab toolbox for many-particle quantum systems. It is mainly concerned with the representation of (symbolic) fermionic wavefunctions and the calculation of corresponding reduced density matrices (RDMs). The toolbox transparently handles the inherent antisymmetrization of wavefunctions and incorporates the creation/annihilation formalism. Thus, it aims at providing a solid base for a broad audience to use fermionic wavefunctions with the same ease as matrices in Matlab, say. Leveraging symbolic computation, the toolbox can greatly simply tedious pen-and-paper calculations for concrete quantum mechanical systems, and serves as “sandbox” for theoretical hypothesis testing. FermiFab (including full source code) is freely available as a plugin for both Matlab and Mathematica.
MSC:
| 81V70 | Many-body theory; quantum Hall effect |
| 81S05 | Commutation relations and statistics as related to quantum mechanics (general) |
| 81R15 | Operator algebra methods applied to problems in quantum theory |
| 81Q10 | Selfadjoint operator theory in quantum theory, including spectral analysis |
| 81-04 | Software, source code, etc. for problems pertaining to quantum theory |
| 81-08 | Computational methods for problems pertaining to quantum theory |
Keywords:
symbolic computation; many-particle quantum mechanics; reduced density matrices; creation/annihilation operators; Slater determinantsReferences:
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