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Open Quantum Systems Decoherence Quantum Simulation

Spectral analysis of a selected non self-adjoint Hamiltonian in an infinite dimensional Hilbert space

arXiv
Authors: Natalia Bebiano, Joao da Providencia, Joao P. da Providencia

Year

2015

Paper ID

27473

Status

Preprint

Abstract Read

~2 min

Abstract Words

57

Citations

N/A

Abstract

The so-called equation of motion method is useful to obtain the explicit form of the eigenvectors and eigenvalues of certain non self-adjoint bosonic Hamiltonians with real eigenvalues. These operators can be diagonalized when they are expressed in terms of pseudo-bosons, which do not behave as ordinary bosons under the adjoint transformation, but obey the Weil-Heisenberg commutation relations.

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  • The so-called equation of motion method is useful to obtain the explicit form of the eigenvectors and eigenvalues of certain non self-adjoint bosonic Hamiltonians with real...

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