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Open Quantum Systems Decoherence
Quantum Simulation
Swanson Hamiltonian: non-PT-symmetry phase
arXiv
Authors: V. Fernández, R. Ramírez, M. Reboiro
Year
2021
Paper ID
62693
Status
Preprint
Abstract Read
~2 min
Abstract Words
67
Citations
N/A
Abstract
In this work, we study the non-hermitian Swanson hamiltonian, particularly the non-PT symmetry phase. We use the formalism of Gel'fand triplet to construct the generalized eigenfunctions and the corresponding spectrum. Depending on the region of the parameter model space, we show that the Swanson hamiltonian represents different physical systems, i.e. parabolic barrier, negative mass oscillators. We also discussed the presence of Exceptional Points of infinite order.
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- In this work, we study the non-hermitian Swanson hamiltonian, particularly the non-PT symmetry phase.
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