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

Minimal Realizations of Supersymmetry for Matrix Hamiltonians

arXiv
Authors: Alexander A. Andrianov, Andrey V. Sokolov

Year

2014

Paper ID

47353

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

Citations

N/A

Abstract

The notions of weak and strong minimizability of a matrix intertwining operator are introduced. Criterion of strong minimizability of a matrix intertwining operator is revealed. Criterion and sufficient condition of existence of a constant symmetry matrix for a matrix Hamiltonian are presented. A method of constructing of a matrix Hamiltonian with a given constant symmetry matrix in terms of a set of arbitrary scalar functions and eigen- and associated vectors of this matrix is offered. Examples of constructing of 2times2 matrix Hamiltonians with given symmetry matrices for the cases of different structure of Jordan form of these matrices are elucidated.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2014 reference point for readers tracking recent quantum research.
  • The notions of weak and strong minimizability of a matrix intertwining operator are introduced.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1409.6695 [2] arXiv https://arxiv.org/abs/1409.6695 [3] Publisher https://arxiv.org/abs/1409.6695

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