Application of the Bogoliubov Transformation to Superconductivity and Field Theory.

Simon N. M. Ruijsenaars

Sergio Caracciolo A, F. Palumbo, Giovanni Viola

C. T. Chen-Tsai

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.

Zorawar S. Bassi, André LeClair

We discuss a solvable model describing an Anderson-like impurity in a BCS superconductor. The model can be mapped onto an Ising field theory in a boundary magnetic field, with the Ising fermions being the quasiparticles of the Bogoliubov transformation in BCS theory. The reflection S matrix exhibits Andreev scattering and the existence of bound states of the quasiparticles with the impurity lying inside the superconducting gap.