Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:0808.1110 · Annals of Physics

Bogoliubov transformations and fermion condensates in lattice field theories

Sergio Caracciolo A, F. Palumbo, Giovanni Viola

Published Nov 7, 2008• 9 citations
arXivHTMLPDF
DOI
10.1016/j.aop.2008.10.006

Related papers

Integrable quantum field theories and Bogoliubov transformations

Simon N. M. Ruijsenaars

Annals of Physics•Apr 1, 1981•24 citations

Integrable quantum field theories and Bogoliubov transformations

Annals of Physics•Mar 1, 1981•0 citations

On the nature of “strong” Bogoliubov transformations for fermions

Gilles Labonté

Communications in Mathematical Physics•Mar 1, 1974•31 citations

Application of the Bogoliubov Transformation to Superconductivity and Field Theory.

Paul R. Auvil

•Jan 1, 1963•0 citations

Bogoliubov Transformations and Entanglement of Two Fermions

Paweł Caban, Krzysztof Podlaski, Jakub Rembieliński +2 more

We show that Bogoliubov transformations, widely used in quantum field theory, can be also useful in quantum information theory. Namely, we show that the problem of the choice of tensor product decomposition in the system of two fermions can be analysed with the help of Bogoliubov transformations of creation and annihilation operators.

Old and New Concepts of Physics•Jul 3, 2007•1 citation

Bosonic Bogoliubov transformations as Lorentz boosts in (c,c¯)=(1,1) conformal field theories with marginal JJ¯ deformations

Federico L. Bottesi, Guillermo R. Zemba

In this paper, we consider conformal field theories with central charges [Formula: see text] that are invariant under the exchange of the holomorphic and antiholomorphic sectors, in both bosonic and fermionic realizations that are meaningful for condensed matter systems. The effect of marginal current–current [Formula: see text] perturbations is to induce a deformation of the Hilbert space given by a Lorentz boost in the 2D space of currents, which is identified with a Bogoliubov transformation. The rapidity of the boost is determined by the coupling constant of the marginal perturbation. When the perturbation is diagonal in the original currents of the theory, there is a linear relation between the two, and nonlinear otherwise. In the fermionic cases, both free and with Calogero–Sutherland interactions, the marginal perturbation corresponds to backward scattering processes.

arXiv:2509.01513•International Journal of Modern Physics A•Dec 6, 2025•0 citations
In this paper, we consider conformal field theories with central charges [Formula: see text] that are invariant under the exchange of the holomorphic and antiholomorphic sectors, in both bosonic and fermionic realizations that are meaningful for condensed matter systems. The effect of marginal current–current [Formula: see text] perturbations is to induce a deformation of the Hilbert space given by a Lorentz boost in the 2D space of currents, which is identified with a Bogoliubov transformation. The rapidity of the boost is determined by the coupling constant of the marginal perturbation. When the perturbation is diagonal in the original currents of the theory, there is a linear relation between the two, and nonlinear otherwise. In the fermionic cases, both free and with Calogero–Sutherland interactions, the marginal perturbation corresponds to backward scattering processes.