Pseudo-hermitian

Author: jthr

August undefined, 2024

WebNon-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 counterparts. In this work, we generalize the pseudo-Hermitian systems to … 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 ...

Quantum quenches in a pseudo-Hermitian Chern insulator

WebPseudo-Hermitian operators were discovered (or rediscovered) almost simultaneously by mathematicians Krein et al. as G-Hamiltonian in the study of linear dynamical systems. … 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. renova svart

Pseudo-hermitian random matrix theory: a review

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 ... 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 … 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, … renova svarta

[quant-ph/0408132] Physical Aspects of Pseudo-Hermitian and …

WebOct 31, 2008 · Pseudo-Hermitian Representation of Quantum Mechanics. Ali Mostafazadeh. A diagonalizable non-Hermitian Hamiltonian having a real spectrum may … 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, … renovasyon projesi nedirWebWe present here an extension of the Caldeira-Leggett linear response model considering a pseudo-Hermitian PT -symmetric system-reservoir interaction. Our generalized Feynman- Vernon functional, derived from the PT -symmetric coupling, accounts for two influence channels: a velocity-dependent one, which can act in reverse, providing energy to ... renovata

"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 … " - Pseudo-hermitian

Pseudo-hermitian

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: … 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.

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WebBy the definition, standard pseudo-Hermitian manifolds are called K -contact manifolds by Sasaki. In particular, standard pseudo-Hermitian manifolds of constant curvature Λ turn out to be Sasakian space forms. It is well known that a conformally flat manifold contains a class of Riemannian manifolds of constant curvature. WebDec 18, 2001 · We explore the basic propertiesof general pseudo-Hermitian Hamiltonians, develop pseudosupersymmetric quantum mechanics, and study some concrete …

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 … 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 ...

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- 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

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

WebAbstract. A diagonalizable non-Hermitian Hamiltonian having a real spectrum may be used to define a unitary quantum system, if one modifies the inner product of the Hilbert … renovate a garageWebJan 30, 2024 · We propose to uncover the topology of a pseudo-Hermitian Chern insulator by quantum quench dynamics. 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. renovata studiosWebSep 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 … renovate america benjiWebApr 28, 2013 · Pseudo-Hermitian quantum mechanics is a representation of conventional quantum mechanics that allows for describing unitary quantum systems using non … renovata glassdoorWeb2. 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 ... renovate america bankruptcyWebJul 8, 2024 · We introduce a non-Hermitian platform allowing us to obtain a three-dimensional exceptional surface in a magnon-polariton coupled system. A two-tone driving system gives rise to a complex effective coupling, leading to a pseudo-Hermitian Hamiltonian. Independent tuning of the real and imaginary components of the coupling … renovate alabamaWebFeb 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 … renovateamerica/benji