Model pseudofermionic systems: connections with exceptional points

Abstract

We discuss the role of pseudo-fermions in the analysis of some two-dimensional models, recently introduced in connection with non self-adjoint hamiltonians. Among other aspects, we discuss the appearance of exceptional points in connection with the validity of the extended anti-commutation rules which define the pseudo-fermionic structure.

in press in Phys. Rev. A

References in corpus (6)

• Linear Pseudo-fermions
• More mathematics for pseudo-bosons
• Explicit Realization of Pseudo-Hermitian and Quasi-Hermitian Quantum Mechanics for Two-Level Systems
• Damping and Pseudo-fermions
• General PT-Symmetric Matrices
• Pseudo-fermions in an electronic loss-gain circuit

Cited by in corpus (13)

• Non-Hermitian Hamiltonian for a Modulated Jaynes-Cummings Model with PT Symmetry
• Transition Probabilities in the Two-Level Quantum System with PT-Symmetric Non-Hermitian Hamiltonians
• Multiply Degenerate Exceptional Points and Quantum Phase Transitions
• Some results on the dynamics and transition probabilities for non self-adjoint hamiltonians
• Intertwining operators for non self-adjoint Hamiltonians and bicoherent states
• $\mathcal{D}$-deformed harmonic oscillators
• Coordinate representation for non Hermitian position and momentum operators
• A concise review on pseudo-bosons, pseudo-fermions and their relatives
• Exploring Branched Hamiltonians for a Class of Nonlinear Systems
• Quantum mechanical settings inspired by RLC circuits
• A reappraisal of Lagrangians with non-quadratic velocity dependence and branched Hamiltonians
• Topological decompositions of the Pauli group and their influence on dynamical systems
• Pseudo-Hermitian systems, involutive symmetries and pseudofermions