A detailed analysis of mathematics of entanglement in Non-Hermitian systems in real eigenvalue regime

Chetan Waghela

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arXiv · 1512.00447

A detailed analysis of mathematics of entanglement in Non-Hermitian systems in real eigenvalue regime

Chetan Waghela

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Abstract

Hamiltonian Mechanics works for conserved systems and Quantum Mechanics is given in Hamiltonian language. It is considered that complexifying the quantum Hamiltonian, a balanced loss and gain model can be created. The usual mathematics of density operator formalism and entanglement is extrapolated to such systems and the consequences are studied. Namely, a complete formalism using Density operators is created for real eigenvalue regime of these Non- Hermitian systems and correct forms of Von-Neumann and Entanglement Entropy are created. The consequences are studied in this regime and depicted w.r.t recent papers by [9, 20].

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Chetan Waghela. 2015-12-02. A detailed analysis of mathematics of entanglement in Non-Hermitian systems in real eigenvalue regime. https://arxiv.org/abs/1512.00447

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