Non-Hermitian Hamiltonians
The quantum brachistochrone problem for non-Hermitian Hamiltonians
... be non-Hermitian but P T - ...for non-Hermitian Hamiltonians for which P T -symmetry is completely broken, ...a non-Hermitian ...
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Non-Hermitian Hamiltonians of Lie algebraic type
... physical Hamiltonians may be cast into a Lie algebraic ...pseudo- Hermitian or more precisely, and more useful, to quasi-Hermitian Hamiltonian ...consider non-Hermitian Hamiltonian ...
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Non-Hermitian Hamiltonians in Field Theory
... Non-Hermitian Hamiltonians appear most frequently in the physics literature to de- scribe dissipative systems, regarded as a result of an effective ...the non-Hermitian ...
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Non-Hermitian Hamiltonians with real eigenvalues coupled to electric fields: From the time-independent to the time-dependent quantum mechanical formulation
... a non-Hermitian Hamiltonian with unstable states, decaying wavefunctions, resonances and dissipa- ...effective Hamiltonians resulting in this manner are non- Hermitian and have complex ...
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Exact analytical solutions for time-dependent Hermitian Hamiltonian systems from static unobservable non-Hermitian Hamiltonians
... It will be very interesting to investigate the viability of this approach further for more complicated systems of higher rank matrix type, but especially for Hamiltonians related to infinite dimensional Hilbert ...
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Foldy-Wouthuysen transformation for non-Hermitian Hamiltonians
... this non-Hermitian mass term is one possible extension of this ...the non-Hermitian mass term on the chiral anomaly, which might be cancelled independently of the number of lepton ...
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Non-Hermitian Swanson model with a time-dependent metric
... effective non-Hermitian Hamiltonians within trapped ions, circuit or cavity QED, NMR and other systems presenting great flexibility of handling its internal ...treating non-Hermitian ...
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Minimal length in quantum mechanics and non-Hermitian Hamiltonian systems
... Deformations of the canonical commutation relations lead to non-Hermitian momentum and po- sition operators and therefore almost inevitably to non-Hermitian Hamiltonians. We demonstrate ...
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Unitary quantum evolution for time-dependent quasi-Hermitian systems with nonobservable Hamiltonians
... for non-Hermitian Hamiltonians of unclear ...with non-Hermitian Hamiltonians in terms of some auxiliary variables x and p, which are not ...
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Non-Hermitian quantum theory with maximal mass
... V.N.Rodionov. Non-Hermitian PT-Symmetric Relativistic Quantum Theory in an Intensive Mag- netic ...In: Non-Hermitin Hamiltonians in Quantum ...on Non-Hermitian ...
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Time evolution of non-Hermitian Hamiltonian systems
... involving non-Hermitian ...pseudo Hermitian Hamiltonian sys- tems and provide a systematic procedure, which leads to closed formulae involving Euler’s numbers for the equivalence pairs of ...
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Completeness and orthonormality in PT-symmetric quantum systems
... Some PT-symmetric non-Hermitian Hamiltonians have only real eigenvalues. There is numerical evidence that the associated PT-invariant energy eigenstates satisfy an unconventional completeness ...
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Non-Hermitian systems of Euclidean Lie algebraic type with real energy spectra
... invariant non-Hermitian Hamiltonians in terms of bi- linear combinations of the generators of this algebra, we have systematically constructed isospectral counterparts from Dyson maps η of the ...
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Non Hermitian Matrix Quasi Exactly Solvable Hamiltonian
... with the emphasis set on the reality properties of the eigenvalues. The authors considered both trigonometric and hyperbolic 2 2 × -matrix Hamiltonians. A set of necessary and sufficient conditions ( i.e. QES ...
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E2-quasi-exact solvability for non-Hermitian models
... to solve the eigenvalue problem for a non-Hermitian model that reduces to the complex Mathieu Hamiltonian in the double scaling limit. We determine the exceptional points of the latter in two alternative ...
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Non Hermitian defect states from lifetime differences
... of hermitian photonic topological insu- lators [35], which are based on evanescently coupled ring resonators with effectively decoupled clockwise (CW) and counterclockwise (CCW) propagation ...
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Equivalence of two sets of Hamiltonians associated with the rational BCn Ruijsenaars–Schneider–van Diejen system
... commuting Hamiltonians constructed by van Diejen are shown to be linear combinations of the Hamiltonians generated by the characteristic polynomial of the Lax matrix obtained recently by Pusztai, and the ...
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Non-Hermitian quantum and classical integrated nonlinear photonics
... of non-Markovian ...of non-Markovian (non-exponential) decay and quantum decoherence phenomena [91], which can occur in nano-plasmonic circuits ...
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Eternal life of entropy in non-Hermitian quantum systems
... We find a different effect for the behavior of von Neumann entropy. For this we derive the framework for describing von Neumann entropy in non-Hermitian quantum systems and then apply it to a simple ...
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Emergent Non-Hermitian Contributions to the Ehrenfest and Hellmann-Feynman Theorems
... where non- Hermitian boundary contributions ...such non- Hermiticities appear, and we demonstrate how they resolve certain Quantum Mechanical paradoxes (most of them having been noticed in the past ...
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