A fully pseudo-bosonic Swanson model

TL;DR

This paper explores a pseudo-bosonic version of the Swanson model, demonstrating Hamiltonian diagonalization, eigensystem derivation, and bi-coherent state construction, advancing the understanding of pseudo-bosonic quantum systems.

Contribution

It introduces a fully pseudo-bosonic Swanson model, providing new methods for diagonalization, eigensystem analysis, and bi-coherent state construction within this framework.

Findings

Hamiltonian successfully diagonalized

Eigensystem of $H^\u2026

Multiple approaches to bi-coherent states compared

Abstract

We consider a fully pseudo-bosonic Swanson model and we show how its Hamiltonian $H$ can be diagonalized. We also deduce the eigensystem of $H^\dagger$, using the general framework and results deduced in the context of pseudo-bosons. We also construct, using different approaches, the bi-coherent states for the model, study some of their properties, and compare the various constructions.