Pseudo-fermions in an electronic loss-gain circuit

Abstract

In some recent papers a loss-gain electronic circuit has been introduced and analyzed within the context of PT-quantum mechanics. In this paper we show that this circuit can be analyzed using the formalism of the so-called pseudo-fermions. In particular we discuss the time behavior of the circuit, and we construct two biorthogonal bases associated to the Liouville matrix $\Lc$ used in the treatment of the dynamics. We relate these bases to $\Lc$ and $\Lc^\dagger$, and we also show that a self-adjoint Liouville-like operator could be introduced in the game. Finally, we describe the time evolution of the circuit in an {\em Heisenberg-like} representation, driven by a non self-adjoint hamiltonian.

International Journal of Theoretical Physics, in press

References in corpus (2)

• PT-Symmetric Electronics
• Bypassing the bandwidth theorem with PT symmetry

Cited by in corpus (4)

• Model pseudofermionic systems: connections with exceptional points
• Theory and Numerical Modelling of Parity-Time Symmetric Structures in Photonics: Introduction and Grating Structures in One Dimension
• Quantum mechanical settings inspired by RLC circuits
• On the Pauli group on 2-qubits in dynamical systems with pseudofermions