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Generalized unitary Bogoliubov transformation that breaks fermion number parity

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arxiv 1208.1086 v1 pith:IO4XBU3X submitted 2012-08-06 cond-mat.str-el

Jonathan E. Moussa This is my paper
classification cond-mat.str-el
keywords numberfermionparitytransformationbogoliubovgeneralizedhamiltoniansbreaking
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The standard Bogoliubov transformation is generalized to enable fermion number parity breaking. The new transformation can diagonalize fermion Hamiltonians that are quadratic in fermion and number parity operators. This new variational freedom cannot lower the energy of Hamiltonians that conserve number parity. However, it has value as a minimal mechanism for continuously varying between states of different fermion number, regardless of number parity.

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  1. Clifford Transformations for Fermionic Quantum Systems: From Paulis to Majoranas to Fermions

    quant-ph 2025-10 conditional novelty 7.0 of 10

    Fermionic Clifford transformations are generated by half-body and pair operators with angles kπ/2, preserving many-body rank and fermionic parity.

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