Bi-squeezed states arising from pseudo-bosons

2018/09/14 by Fabio Bagarello, F Bagarello, F Gargano +3
Computer Science · Mathematics · Physics and Astronomy · #Algebra over a field #Class (philosophy) #Mathematical model #Point (geometry) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #State (computer science) #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1088/1751-8121/aae165

In press in Journal of Physics A

arxiv created 2018/09/14 · openalex publication_date 2018/09/14 · openalex created_date 2018/09/27 · arxiv updated 2018/11/14 · openalex updated_date 2026/08/05

Abstract

Abstract Extending our previous analysis on bi-coherent states, we introduce here a new class of quantum mechanical vectors, the bi-squeezed states , and we deduce their main mathematical properties. We relate bi-squeezed states to the so-called regular and non regular pseudo-bosons. We show that these two cases are different, from a mathematical point of view. Some physical examples are considered.

Citations

• Non-Hermitian Hamiltonian approach to quantum transport in disordered networks with sinks: Validity and effectiveness
• Pseudobosons, Riesz bases, and coherent states
• Real Spectra in Non-Hermitian Hamiltonians HavingPTSymmetry
• Observation of the Dynamical Casimir Effect in a Superconducting Circuit
• Position dependent mass Schrödinger equation and isospectral potentials: Intertwining operator approach
• Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement