Damping and Pseudo-fermions

TL;DR

This paper explores how pseudo-fermions can model damping in finite-dimensional quantum systems, comparing Schrödinger and Heisenberg representations to understand non self-adjoint Hamiltonian dynamics.

Contribution

It introduces the application of pseudo-fermions to describe damping phenomena in finite-dimensional quantum systems, highlighting differences between Schrödinger and Heisenberg frameworks.

Findings

Pseudo-fermions effectively model damping effects.

Comparison reveals differences between Schrödinger and Heisenberg representations.

Provides a new approach to non self-adjoint Hamiltonian dynamics.

Abstract

After a short abstract introduction on the time evolution driven by non self-adjoint hamiltonians, we show how the recently introduced concept of {\em pseudo-fermion} can be used in the description of damping in finite dimensional quantum systems, and we compare the results deduced adopting the Schr\"odinger and the Heisenberg representations.