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Open Quantum Systems Decoherence Quantum Simulation

Unitary unfoldings of Bose-Hubbard exceptional point with and without particle number conservation

arXiv

Authors: Miloslav Znojil

Year

2020

Paper ID

21122

Status

Preprint

Abstract Read

~2 min

Abstract Words

126

Citations

N/A

Abstract

Non-Hermitian but {cal PT}-symmetric quantum system of an N-plet of bosons described by the three-parametric Bose-Hubbard Hamiltonian H(γ,v,c) is picked up, in its special exceptional-point limit c → 0 and γ→ v, as an unperturbed part of the family of generalized Bose-Hubbard-like Hamiltonians mathfrak{H}(λ)=H(v,v,0)+λ {cal V} for which the unitarity of the perturbed system is required. This leads to the construction of two different families of Hamiltonians mathfrak{H}(λ). In the first one the number N of bosons is assumed conserved while in the second family such an assumption is relaxed. In both cases the anisotropy of the related physical Hilbert space is shown reflected by a highly counterintuitive but operationally realizable structure of admissible perturbations λ {cal V}.

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Non-Hermitian but cal PT-symmetric quantum system of an N-plet of bosons described by the three-parametric Bose-Hubbard Hamiltonian H(γ,v,c) is picked up, in its special...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2008.12844 [2] arXiv https://arxiv.org/abs/2008.12844 [3] Publisher https://arxiv.org/abs/2008.12844

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