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Open Quantum Systems Decoherence Quantum Simulation

Pseudo-fermions in an electronic loss-gain circuit

arXiv

Authors: Fabio Bagarello, Giuseppe Pantano

Year

2013

Paper ID

32922

Status

Preprint

Abstract Read

~2 min

Abstract Words

110

Citations

N/A

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.

Why This Paper Matters

This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
It adds a 2013 reference point for readers tracking recent quantum research.
In some recent papers a loss-gain electronic circuit has been introduced and analyzed within the context of PT-quantum mechanics.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1309.0678 [2] arXiv https://arxiv.org/abs/1309.0678 [3] Publisher https://arxiv.org/abs/1309.0678

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