Pseudo hermiticity

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August undefined, 2024

WebJun 13, 2016 · Thus, the concept of pseudo-Hermiticity, a condition for a real spectrum of a non-Hermitian system, was introduced. The main goal of our study is to reveal new … WebFeb 1, 2024 · Based on transformation optics, optical loss and gain are separated in physical space, forming a new class of non‐Hermitian systems with unprecedented robustness in energy balance, thus denoted as...

Pseudo-Hermiticity and generalized PT- and CPT-symmetries

WebSep 19, 2024 · The Bernard-LeClair (BL) symmetry classes generalize the Altland-Zirnbauer classes in the absence of Hermiticity. Within the BL scheme, time-reversal and particle-hole symmetry come in two flavors, and ``pseudo-Hermiticity'' generalizes Hermiticity. We propose that these symmetries are relevant for the topological classification of non … WebFeb 1, 2024 · The Hermitian systems possess unitary scattering; however, the Hermiticity is unnecessary for a unitary scattering although the scattering under the influence of non … grain suomeksi

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WebNov 7, 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 quantum theory as a means of understanding of relativistic Klein-Gordon equation in … WebDec 16, 2024 · Keywords: Pseudo-Hermiticity, time-dependent metric operator, time-dependent dyson map (Some ﬁgures may appear in colour only in the online journal) 1. Introduction Since the work by Bender and Boettcher [1] and further developments by Mostafazadeh [2], pseudo-Hermitian -symmetric Hamiltonians have been extensively … WebJun 1, 2024 · The lack of phase coherence cannot be captured by a linear analysis but, as we show below, results from a pseudo-Hermiticity symmetry of ℋ (along the dashed lines in Fig. 1C ). We note that, at the vicinity of the EPs, linewidth broadening ( 44, 45) can also affect the phase coherence of the lasers ( 46 ). grain silos

Non-Hermitian trimers: PT-symmetry versus pseudo-Hermiticity

Quantum dynamics of non-Hermitian many-body Landau …

WebJul 4, 2015 · We show that similarity (or equivalent) transformations enable one to construct non-Hermitian operators with real spectrum. In this way we can also prove and generalize the results obtained by other authors by means of a gauge-like transformation and its generalization. Such similarity transformations also reveal the connection with pseudo … WebJun 4, 2014 · The key point of this method is to find out an operator that represents an inherent symmetry of the non-Hermitian Hamiltonian, i.e., the -pseudo-Hermiticity, also called the -pseudo-Hermitian self-adjoint condition. grain stain vstWebOct 19, 2024 · However, the necessary mathematical condition for real eigenvalues is that an operator obeys pseudo-Hermiticity 1,2, ηHη −1 = H †, where η is an Hermitian invertible linear operator ... grains on keto

"Webpseudo-Hermiticity To cite this article: Sergey V Suchkov et al 2016 New J. Phys. 18 065005 View the article online for updates and enhancements. Related content Nonlinearity … " - Pseudo hermiticity

Pseudo hermiticity

Gauge-dependent topology in non-reciprocal hopping systems with pseudo …

http://home.ku.edu.tr/~amostafazadeh/phys517_518/phys518_2024s/Handouts/jmp_02_1.pdf Webpseudo-Hermiticity has also been seen [18] as an al-ternative framework when the Hamiltonian is PT-symmetric. In this work we bring out a shortcoming in the framework ofPT-symmetric quantum mechan-

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WebThe Hermiticity of a Hamiltonian guarantees its real eigenvalues and orthogonal eigenstates, which reflects the dynamics and shapes the physical reality of an isolated quantum system with conversed energy and probability. WebMar 1, 2024 · spectrum of pseudo-Hermitian Hamiltonian as the strength of Hermiticity-breaking terms turns on. Using general symmetry arguments, we characterize the separate energy levels by a topological Z 2 index which corresponds to the signs 1 of the eigenvalues of pseudo-metric operator ^ in the absence of Hermiticity-breaking terms.

WebJan 2, 2024 · We prove that in finite dimensions, a Parity-Time (PT)-symmetric Hamiltonian is necessarily pseudo-Hermitian regardless of whether it is diagonalizable or not. This …

WebClearly, H1 is PT symmetric, but not P-pseudo-Hermitian, whereasH2 is P-pseudo-Hermitian and not PT symmetric. Therefore, PT symmetry and P-pseudo-Hermiticity are distinct … WebApr 28, 2013 · Pseudo-Hermitian quantum mechanics is a representation of conventional quantum mechanics that allows for describing unitary quantum systems using non …

WebAug 26, 2002 · Pseudo-Hermiticity Supersymmetric quantum mechanics In recent times it has been stressed that neither Hermiticity nor PT symmetry serves as a necessary …

WebDec 18, 2001 · We introduce the notion of pseudo-Hermiticityand show that every Hamiltonian with a real spectrum is pseudo-Hermitian. We point out that all the PT … grains on visnutattva daysWebAug 13, 2024 · Here we show that to achieve pseudo-Hermiticity in photonic crystals, the average non-Hermiticity strength within the unit cell for the eigenstates in a particular … grain talkWebPseudo-Hermitian operators were discovered (or rediscovered) almost simultaneously by mathematicians Krein et al. as G-Hamiltonian in the study of linear dynamical systems. … grain tasteWebPseudo-Hermiticity is important in non-Hermitian physics. The pseudo-Hermiticity ensures the spectrum of the non-Hermitian system to be entirely real or partly complex in … grain tennisWebOct 24, 2024 · The Hamiltonian operator is linked to via the -pseudo-Hermiticity relation (sometimes also called the similarity transformation), where is a unitary operator. Clearly, when the pseudo-Hermitian Hamiltonian coincides with a Hermitian one. This simple observation indicates that Hermitian Hamiltonians define a subset of pseudo-Hermitian … grain sustainabilityWebApr 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 grain to sailWebHence pseudo-Hermiticity is a generalization of Hermiticity. Furthermore, observe that a typical PT-symmetric Hamiltonian deﬁned on a real phase space ((x,p)PR2) has the form H 5p2/(2m)1V(x) where the potential V(x)5V 1(x)1iV2(x) has an even real part V1(x) and an grain train petoskey mi - glycerin