Non-Hermitian Model for Asymmetrical Tunneling

Non-Hermitian Model for Asymmetrical Tunneling

We present a simple non-hermitian model to describe the phenomenon of asymmetric tunneling between two energy-degenerate sites coupled by a non-reciprocal interaction without dissipation. The system was described using a biorthogonal family of energy eigenvectors, the dynamics of the system was dete...

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Veröffentlicht in:arXiv.org 2014-08
Hauptverfasser: Santos, Roberto Baginski B, Vinícius Rocha da Silva
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Asymmetry
Eigenvectors
Energy dissipation
Physics - Quantum Physics
State vectors
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description We present a simple non-hermitian model to describe the phenomenon of asymmetric tunneling between two energy-degenerate sites coupled by a non-reciprocal interaction without dissipation. The system was described using a biorthogonal family of energy eigenvectors, the dynamics of the system was determined by the Schr\"odinger equation, and unitarity was effectively restored by proper normalization of the state vectors. The results show that the tunneling rates are indeed asymmetrical in this model, leading to an equilibrium that displays unequal occupation of the degenerate systems even in the absence of external interactions.
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subjects Asymmetry
Eigenvectors
Energy dissipation
Physics - Quantum Physics
State vectors
title Non-Hermitian Model for Asymmetrical Tunneling
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