Pseudo-hermitian

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August undefined, 2024

WebSep 30, 2024 · The Bloch Hamiltonian of the pseudo-Hermitian Chern insulator is defined in the basis of the q-deformed Pauli matrices, which are related to the representation of the deformed algebras. We show the bulk-surface duality of the pseudo-Hermitian phases, then further build a concrete relation between the static band topology and quench dynamics, … WebAug 13, 2024 · The results in the Hermitian and pseudo-Hermitian cases coincide if the evolution is unitary with some well-defined inner product. We also analyze two previously studied examples and find that they are consistent with our theory. In addition, we give some explanations of our results with two examples. 1. Introduction

Phys. Rev. B 106, 014404 (2024) - Pseudo-Hermitian magnon …

WebFeb 18, 2024 · Pseudo-Hermiticity is pointed out to be a sufficient and necessary condition keeping the spectrum of Hamiltonians real 4, 5, 6, extending the classes of NH-systems and attracting investigations... WebFeb 1, 2024 · Pseudo-hermitian matrices are matrices hermitian with respect to an indefinite metric. They can be thought of as the truncation of pseudo-hermitian operators, … emperor\\u0027s new groove inca

Pseudo-Hermitian Representation of Quantum Mechanics

WebJan 13, 2024 · The pseudo-Hermitian sensor exhibits divergent susceptibility in a dynamical evolution that does not necessarily involve an exceptional point. We demonstrate its potential advantages to overcome noises that cannot be … WebApr 10, 2024 · Hermitian systems with pseudo-Hermiticity have been of interest, since they give rise to the reality of the eigenspectrum. Special cases being PT -symmetric non-Hermitian systems [32,33], which have been fuelled by various experimental observations including in photonics [34{38], unidirectional invisibility [39], electrical circuits Webpseudohermaphroditism, a condition in which the individual has a single chromosomal and gonadal sex but combines features of both sexes in the external genitalia, causing doubt … drank bottom shelf

Pseudo-Hermitian quantum mechanics with unbounded …

pseudohermitian - Wiktionary

Web2. The Model. In this section, we consider a Hamiltonian describing a system of a fermion in the external magnetic field, B which couples the harmonic oscillator interaction (i.e. ℏ ω a + a ) and the pseudo-hermitian interaction if ϕ = − 1 , or the hermitian interaction if ϕ = + 1 (i.e.) [ 1] [ 2] : , (1) where. σ , σ ± denote Pauli ... WebDeconstructing non-dissipative non-Dirac-Hermitian relativistic quantum systems emperor\u0027s new groove it\u0027s dinner timeWebNov 6, 2024 · In this paper, we give some rigidity results for both harmonic and pseudoharmonic maps from pseudo-Hermitian manifolds into Riemannian manifolds or Kähler manifolds. Some foliated results, pluriharmonicity and Siu–Sampson type results are established for both harmonic maps and pseudoharmonic maps. MSC classification drank battery acid

"WebOct 31, 2008 · Pseudo-Hermitian Representation of Quantum Mechanics. Ali Mostafazadeh. A diagonalizable non-Hermitian Hamiltonian having a real spectrum may … " - Pseudo-hermitian

Pseudo-hermitian

WebJan 21, 2014 · We investigate some questions on the construction of operators for pseudo-Hermitian Hamiltonians. We give a sufficient condition which can be exploited to systematically generate a sequence of operators starting from a known one, thereby proving the non-uniqueness of for a particular pseudo-Hermitian Hamiltonian. WebT is time reversal, and can be covered by a broad class of pseudo-Hermitian operators which satisfy the following operator equation H† = ηHη−1, where the operator ηis required to be Hermitian, invertible and bounded [27]-[35]. Here, we consider that kind of the graphs whose Hamiltonians are pseudo-Hermitian. Using pseudo-

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WebJan 13, 2024 · The pseudo-Hermitian sensor exhibits divergent susceptibility in a dynamical evolution that does not necessarily involve an exceptional point. We demonstrate its … WebApr 3, 2024 · Request PDF Non-Hermitian superintegrable systems A non-Hermitian generalisation of the Marsden--Weinstein reduction method is introduced to construct families of quantum $\mathcal{PT ...

WebDec 18, 2001 · We explore the basic propertiesof general pseudo-Hermitian Hamiltonians, develop pseudosupersymmetric quantum mechanics, and study some concrete … WebJul 8, 2024 · For non-Hermitian systems, a real spectrum could exist not only in a PT-symmetric system but also in the socalled pseudo-Hermitian one whose Hamiltonian satisfies µHµ −1 = H † , where µ is ...

WebFeb 1, 2024 · Pseudo-hermitian matrices are matrices hermitian with respect to an indefinite metric. They can be thought of as the truncation of pseudo-hermitian operators, defined over some Krein space, together with the associated metric, to a … WebJul 24, 2024 · The blue ellipse is the general set of anti- P -pseudo-Hermitian two-level Hamiltonians which are decided by four dynamic parameters r, s, u and . When the dynamic parameters are provided some limitations, the anti-PPH Hamiltonian enters into the anti-PT-symmetric or Hermitian phase.

WebAug 20, 2004 · Physical Aspects of Pseudo-Hermitian and. -Symmetric Quantum Mechanics. For a non-Hermitian Hamiltonian H possessing a real spectrum, we introduce a canonical orthonormal basis in which a previously introduced unitary mapping of H to a Hermitian Hamiltonian h takes a simple form. We use this basis to construct the …

WebOct 1, 2024 · Pseudo-hermitian random matrix theory: a review. Joshua Feinberg1,2 and Roman Riser1,2. Published under licence by IOP Publishing Ltd. Journal of Physics: … drank bottle of wineWebOct 1, 2024 · In this work, we investigate how to simulate τ-anti-pseudo-Hermitian systems in a Hermitian quantum device using linear combinations of unitaries and duality quantum … emperor\u0027s new groove heartwarmingWebPseudo-Hermitian operators were discovered (or rediscovered) almost simultaneously by mathematicians Krein et al. as G-Hamiltonian in the study of linear dynamical systems. … emperor\\u0027s new groove in spanishWebpseudo-Hermitian; Etymology . pseudo-+‎ hermitian. Adjective . pseudohermitian (not comparable) (mathematics) This term needs a definition. Please help out and add a … emperor\\u0027s new groove it\\u0027s all coming togetherWebDec 13, 2024 · Higher-order exceptional points (EPs), resulting from non-Hermitian degeneracies, have shown greater advantages in sensitive enhancement than second-order EPs (EP2s). Therefore, seeking higher-order EPs in various quantum systems is important for quantum information science. Here we propose a benchmark cavity optomechanical … emperor\u0027s new groove it\u0027s all coming togetherWebApr 28, 2013 · Pseudo-Hermitian quantum mechanics is a representation of conventional quantum mechanics that allows for describing unitary quantum systems using non … drank colruytWebSep 4, 2024 · As we know that a matrix H is said to be Hermitian if H = H †, and if so, then all the eigenvalues are real. While a non-hermitian matrix P is said to be pseudo-hermitian if … drank chat