Adiabatic Evolution and Shortcut in a Pseudo-Hermitian Composite System
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DOI: 10.1007/s10773-020-04619-6
Abstract: In this work, we study the adiabatic phases and shortcut for a pseudo-Hermitian interacting spin-1/2 composite system in which one system is driven by a non-Hermitian magnetic field. The biorthonormal eigenbasis and the condition for… read more here.
Keywords: system; pseudo hermitian; composite system; correlation ... See more keywords
Modulated Pseudo-Hermitian Dimer
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DOI: 10.1007/s11182-021-02255-z
Abstract: A modulated pseudo-Hermitian optical dimer is investigated. The parameter ranges are determined where the eigenmodes of the dimer conserve their power. It is shown that such a dimer has several exceptional points, and it is… read more here.
Keywords: dimer; modulated pseudo; period; power ... See more keywords
Gradient estimate of positive eigenfunctions of sub-Laplacian on complete pseudo-Hermitian manifolds
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2019.103577
Abstract: Abstract In this paper, we derive an explicit gradient estimate of positive solutions of Δ b u = − λ u on complete noncompact pseudo-Hermitian manifolds with bounded geometric conditions. As a consequence, we obtain… read more here.
Keywords: pseudo; pseudo hermitian; gradient estimate; hermitian manifolds ... See more keywords
Statistical properties of eigenvalues of an ensemble of pseudo-Hermitian Gaussian matrices
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DOI: 10.1088/1402-4896/ab2e99
Abstract: We investigate the statistical properties of eigenvalues of pseudo-Hermitian random matrices whose eigenvalues are real or complex conjugate. It is shown that when the spectrum splits into separated sets of real and complex conjugate eigenvalues,… read more here.
Keywords: eigenvalues ensemble; properties eigenvalues; pseudo hermitian; ensemble pseudo ... See more keywords
Classical-quantum correspondence for two-level pseudo-Hermitian systems
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DOI: 10.1103/physreva.103.022201
Abstract: In this work, a classical-quantum correspondence for two-level pseudo-Hermitian systems is proposed and analyzed. We show that the presence of a complex external field can be described by a pseudo-Hermitian Hamiltonian if there is a… read more here.
Keywords: two level; classical quantum; correspondence two; quantum correspondence ... See more keywords
Band topology of pseudo-Hermitian phases through tensor Berry connections and quantum metric
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DOI: 10.1103/physrevb.104.205103
Abstract: Yan-Qing Zhu, 2, 3 Wen Zheng, Shi-Liang Zhu, 2, ∗ and Giandomenico Palumbo † Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou… read more here.
Keywords: physics; topology; topology pseudo; band topology ... See more keywords
Pseudo-Hermitian anti-Hermitian ensemble of Gaussian matrices.
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DOI: 10.1103/physreve.96.012154
Abstract: It is shown that the ensemble of pseudo-Hermitian Gaussian matrices recently introduced gives rise in a certain limit to an ensemble of anti-Hermitian matrices whose eigenvalues have properties directly related to those of the chiral… read more here.
Keywords: hermitian ensemble; hermitian anti; pseudo hermitian; ensemble gaussian ... See more keywords
Quantum Simulation of Pseudo-Hermitian-φ-Symmetric Two-Level Systems
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DOI: 10.3390/e24070867
Abstract: Non-Hermitian (NH) quantum theory has been attracting increased research interest due to its featured properties, novel phenomena, and links to open and dissipative systems. Typical NH systems include PT-symmetric systems, pseudo-Hermitian systems, and their anti-symmetric… read more here.
Keywords: symmetric two; two level; quantum simulation; hermitian symmetric ... See more keywords