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Open Quantum Systems Decoherence
Quantum Simulation
On a class of non-Hermitian Hamiltonians with tridiagonal matrix representation
arXiv
Authors: Francisco M. Fernández
Year
2021
Paper ID
61170
Status
Preprint
Abstract Read
~2 min
Abstract Words
66
Citations
N/A
Abstract
We show that some non-Hermitian Hamiltonian operators with tridiagonal matrix representation may be quasi Hermitian or similar to Hermitian operators. In the class of Hamiltonian operators discussed here the transformation is given by a Hermitian, positive-definite, diagonal operator. We show that there is an important difference between open boundary conditions and periodic ones. We illustrate the theoretical results by means of two simple, widely used, models.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We show that some non-Hermitian Hamiltonian operators with tridiagonal matrix representation may be quasi Hermitian or similar to Hermitian operators.
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