arXiv Open Access 2023

Jordan Decomposition of Non-Hermitian Fermionic Quadratic Forms

Shunta Kitahama Hironobu Yoshida Ryo Toyota Hosho Katsura

Lihat Sumber

Abstrak

We give a rigorous proof of Conjecture 3.1 by Prosen [Prosen T 2010 J. Stat. Mech. $\textbf{2010}$ P07020] on the nilpotent part of the Jordan decomposition of a quadratic fermionic Liouvillian. We also show that the number of the Jordan blocks of each size can be expressed in terms of the coefficients of a polynomial called the $q$-binomial coefficient and describe the procedure to obtain the Jordan canonical form of the nilpotent part.

Topik & Kata Kunci

quant-ph cond-mat.stat-mech math-ph

Penulis (4)

Shunta Kitahama

Hironobu Yoshida

Ryo Toyota

Hosho Katsura

Format Sitasi

APA MLA BibTeX

Kitahama, S., Yoshida, H., Toyota, R., Katsura, H. (2023). Jordan Decomposition of Non-Hermitian Fermionic Quadratic Forms. https://arxiv.org/abs/2308.01166

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓