Effects of boundary conditions on quantum nanoresonators: decoherence-free subspaces

TL;DR

This paper investigates how different boundary conditions affect decoherence-free subspaces in quantum nanoresonators modeled as Euler-Bernoulli beams, revealing conditions that minimize decoherence for quantum information applications.

Contribution

It introduces the analysis of boundary condition effects on decoherence-free subspaces in quantum nanoresonators, highlighting the role of degeneracy and quasi-degeneracy in reducing decoherence.

Findings

Hinged-hinged boundary conditions produce degenerate states forming decoherence-free subspaces.

Certain boundary conditions lead to quasi-degenerate states with lower decoherence rates.

The study draws an analogy to the Casimir effect in the context of quantum beam modes.

Abstract

The Euler-Bernoulli beam model has been studied classically and semi-classically. The semi-classical quantization is done in an analogous way to the quantization of the electromagnetic field, and we found an effect that is similar to the Casimir effect, which is the photonic Casimir effect. The Casimir force, by unit area, is proportional to the first mode energy divided by the volume of the beam. For the hinged-hinged boundary condition, degenerate states were found. These degenerate pairs form decoherence-free subspaces for dispersive thermal reservoirs. For other boundary conditions, there are also subspaces with lower decoherence rates, which occur for quasi-degenerate states.