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Open Quantum Systems Decoherence

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

arXiv
Authors: Humberto C. F. Lemos, Thiago Cordeiro, Adelcio C. Oliveira

Year

2025

Paper ID

17476

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

Citations

N/A

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.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • The Euler-Bernoulli beam model has been studied classically and semi-classically.

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