3 papers
cond-mat.stat-mech2025
A Generalized Grassmann-Pfaffian Framework for Monomer-Dimer and Spanning Trees
E. A. Ramirez Trino, M. A. Seifi MirJafarlou, M. A. Rajabpour
We develop a unified framework for Berezin integrals over Grassmann variables that establishes master identities for exponential quadratic fermionic forms and linear fermionic form…
quant-ph2025
Explicit Pfaffian Formula for Amplitudes of Fermionic Gaussian Pure States in Arbitrary Pauli Bases
M. A. Rajabpour, M. A. Seifi Mirjafarlou, Reyhaneh Khasseh
The explicit computation of amplitudes for fermionic Gaussian pure states in arbitrary Pauli bases is a long-standing challenge in quantum many-body physics, with significant impli…
quant-ph2025
Matrix Elements of Fermionic Gaussian Operators in Arbitrary Pauli Bases: A Pfaffian Formula
M. A. Rajabpour, MirAdel Seifi MirJafarlou, Reyhaneh Khasseh
Fermionic Gaussian operators are foundational tools in quantum many-body theory, numerical simulation of fermionic dynamics, and fermionic linear optics. While their structure is f…