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Open Quantum Systems Decoherence Quantum Simulation Quantum State Preparation Representation Entanglement Theory Quantum Correlations

Peculiarities of the hidden nonlinear supersymmetry of Poschl-Teller system in the light of Lame equation

arXiv
Authors: Francisco Correa, Mikhail S. Plyushchay

Year

2007

Paper ID

50030

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

N/A

Abstract

A hidden nonlinear bosonized supersymmetry was revealed recently in Poschl-Teller and finite-gap Lame systems. In spite of the intimate relationship between the two quantum models, the hidden supersymmetry in them displays essential differences. In particular, the kernel of the supercharges of the Poschl-Teller system, unlike the case of Lame equation, includes nonphysical states. By means of Lame equation, we clarify the nature of these peculiar states, and show that they encode essential information not only on the original hyperbolic Poschl-Teller system, but also on its singular hyperbolic and trigonometric modifications, and reflect the intimate relation of the model to a free particle system.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2007 reference point for readers tracking recent quantum research.
  • A hidden nonlinear bosonized supersymmetry was revealed recently in Poschl-Teller and finite-gap Lame systems.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0706.1114 [2] arXiv https://arxiv.org/abs/0706.1114 [3] Publisher https://arxiv.org/abs/0706.1114

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