2024 Pseudo-hermitian

Pseudo-hermitian

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August undefined, 2024

WebJun 17, 2024 · Although our pseudo-Hermitian models and their Hermitian counterparts share the same topological invariants, their band geometries are different. We indeed show that some of our pseudo-Hermitian phases naturally support nearly-flat topological bands, opening the route to the study of pseudo-Hermitian strongly-interacting systems. WebJun 9, 2024 · Joshua Feinberg, Roman Riser. We review our recent results on pseudo-hermitian random matrix theory which were hitherto presented in various conferences and talks. (Detailed accounts of our work will appear soon in separate publications.) Following an introduction of this new type of random matrices, we focus on two specific models of …

Pseudo-Hermitian Matrix Exactly Solvable Hamiltonian

WebNov 5, 2024 · Through this algebraic approach, we present and study the pseudo-Hermitian version of well-known Hermitian topological phases, ranging from two-dimensional … 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 rodan 4343

Pseudo-Hermitian continuous-timequantum walks …

WebNov 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 WebPseudo-Hermitian operators were discovered (or rediscovered) almost simultaneously by mathematicians Krein et al. as G-Hamiltonian in the study of linear dynamical systems. … WebNov 13, 2014 · Things are rather peculiar in the realm of reef fish. Few phenomenons are clear cut in black and white. At a glance it’s as if the myriad of biological processes walk … tesla adult healers

A NISQ Method to Simulate Hermitian Matrix Evolution

Eigenvalues of sums of pseudo-Hermitian matrices

WebMay 1, 2024 · Similar to PT-symmetry, pseudo-hermiticity is a sufficient, but not necessary condition for the reality of a Hamiltonian’s spectrum. A complete discussion of pseudo-hermiticity and its relationship to related concepts like PT-symmetry and quasi-hermiticity is provided in the monograph [8]. 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 … rodan groupWebJan 1, 2024 · The pseudo-Hermiticity generalizes this concept to situations where the alternative metric G may be indefinite. In this sense, the pseudo-Hermiticity appeared in … rodamon menu

"Web−1·gof pseudo-Hermitian matrices A, satisfying AJpq = JpqA∗. In the block form, A = Hp B −B¯T H q , where Hp and Hq are p×p and q×q Hermitian symmetric matrices respectively and B is a complex p×q matrix. In general, eigenvalues of pseudo-Hermitian matrices are not necessarily real, unless A is elliptic. And moreover, as computations ... " - Pseudo-hermitian

Pseudo-hermitian

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 … WebFemale pseudohermaphroditism occurs when normal ovaries are present but the body is partially masculinized. Examples are individuals with congenital adrenal hyperplasia …

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WebDec 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 … 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...

WebMay 8, 2024 · The pseudo-Hermitian torsion, denoted by \tau , is a symmetric and traceless tensor defined by \tau (X) = T_\nabla (\xi , X) for any X \in TM (cf. [ 12 ]). Set \begin {aligned} A (X, Y) = g_\theta ( \tau (X) , Y), \quad \text { for } \text { any } X, Y \in TM. \end {aligned} A pseudo-Hermitian manifold is Sasakian if \tau \equiv 0. WebMay 8, 2024 · In this paper, we give an estimate of sub-Laplacian of Riemannian distance functions in pseudo-Hermitian geometry which plays a similar role as Laplacian …

WebSep 17, 2024 · If the pseudo-Hermitian Ricci curvature tensor is a scalar (field) multiple of the Levi form in a strictly pseudo-convex almost CR manifold, then it is said to have the pseudo-Einstein structure. A pseudo-Hermitian CR space form is a strictly pseudo-convex CR manifold of constant holomorphic sectional curvature (for Tanaka-Webster connection). WebJan 5, 2024 · The main purpose of this paper is to derive some Liouville type theorems in the category of pseudo-Hermitian manifolds. Recall that a pseudo-Hermitian manifold is a 2m_0+1 dimensional manifold M with a codimension one CR structure ( HM , J) and a one-form \theta such that HM=\ker (\theta ) and the Levi form L_\theta (X,Y)=d\theta (X,JY) is ...

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.

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. rodamon caravanasWebOct 31, 2008 · Pseudo-Hermitian Representation of Quantum Mechanics. Ali Mostafazadeh. A diagonalizable non-Hermitian Hamiltonian having a real spectrum may … tesla akku zukunftWeb2. 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 ... tesla alexandria vaWebDec 18, 2001 · We explore the basic propertiesof general pseudo-Hermitian Hamiltonians, develop pseudosupersymmetric quantum mechanics, and study some concrete … tesla ai guidelinesWebSep 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 … rodan skin care organicWebJan 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 … tesla aktie realtime xetraWebT 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 … tesla aktie realtime nasdaq