Curving the space by non-hermiticity

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August undefined, 2024

WebDec 14, 2008 · This raises the questions: Wh y does this non-hermiticity arise, and is there an hermitian Hamiltonian for a general. ... The massless Dirac equation is studied in curved space-time on the (2+1 ... WebThe non-Hermiticity greatly affects the topological property of the Lieb lattice. When the non-Hermitian term is introduced, the gapped regions shrink and the gapless regions appear; a typical feature is the exis-tence of the EPs. Moreover, the large non-Hermiticity destroys FIG. 3. Phase diagram in the m-γ parameter space focused on the ...

Hermiticity of the Dirac Hamiltonian in Curved Spacetime

WebApr 21, 2024 · Curving the space by non-Hermiticity Chenwei Lv 1,4 , Ren Zhang 1,2,4 , Zhengzheng Zhai 1 & Qi Zhou 1,3 Quantum systems are often classi ﬁ ed into Hermitian and non-Hermitian ones. WebWhereas these intriguing phenomena have been considered peculiar to non-Hermitian systems, we show that they can be naturally explained by a duality between non … is c static or dynamic

Hermitian System in Curved Space

WebJul 10, 2024 · Novel functionalities from the interplay between optical non-Hermiticity and topological photonics. a shows the unit cell of a coupled resonator array, with hopping rate κ and onsite gain/loss ... http://geomgrav.fi.ut.ee/inspire/literature.php?recid=1998868 Web⚡️This duality between non-Hermiticity and curved spaces thus establishes a new theoretical framework to unify Hermitian and non-Hermitian physics.⚡️ ... is c still being updated

[2106.02477v2] Curving the space by non-Hermiticity

Curving the space by non-Hermiticity. - Abstract - Europe PMC

WebJun 1, 2024 · The extraordinary behaviors of non-Hermitian systems, which have puzzled physicists for decades, become no longer mysterious if we recognize that the space … WebARTICLE Curving the space by non-Hermiticity Chenwei Lv 1,4, Ren Zhang 1,2,4, Zhengzheng Zhai 1 & Qi Zhou 1,3 Quantum systems are often classi ed into Hermitian … is c still usefulWebDec 16, 2024 · In this work, we discover the totally new paradigm of quantized classical response, which is based on the spectral winding number in the complex spectral plane, rather than the winding of eigenstates in momentum space. Such quantized response is classical insofar as it applies to phenomenological non-Hermitian setting, arises from … is c still a relevant programming language

"WebNov 4, 2015 · Abstract. The Dirac Hamiltonian in the -dimensional curved space-time has been studied with a metric for an expanding de Sitter space-time which is two spheres.The spectrum and the exact solutions of the time dependent non-Hermitian and angle dependent Hamiltonians are obtained in terms of the Jacobi and Romanovski polynomials. " - Curving the space by non-hermiticity

Curving the space by non-hermiticity

WebNov 30, 2024 · In other cases, the non-Hermiticity is itself essential to obtaining non-trivial topology, for instance, in the one-dimensional Hatano–Nelson chain 28, which is a tight-binding toy model ... WebJul 26, 2024 · The team’s results were published in the journal Nature Communications in an article titled “Curving the Space by Non-Hermiticity.” Most of the team’s members are …

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WebApr 1, 2016 · We show that the bulk-boundary correspondence for topological insulators can be modified in the presence of non-Hermiticity. We consider a one-dimensional tight-binding model with gain and loss as well as long-range hopping. The system is described by a non-Hermitian Hamiltonian that encircles an exceptional point in momentum space. WebApr 21, 2024 · The mapping to a curved space thus establishes an explicit physical interpretation of orthonormal conditions in non-Hermitian systems. Secondly, the …

WebMay 16, 2024 · Curving the space by non-Hermiticity. 21 April 2024. Chenwei Lv, Ren Zhang, … Qi Zhou. Quantum distance and anomalous Landau levels of flat bands. 05 August 2024. Jun-Won Rhim, Kyoo Kim & Bohm ... WebJun 4, 2024 · Curving the space by non-Hermiticity. 4 Jun 2024 · Chenwei Lv , Ren Zhang , Zhengzheng Zhai , Qi Zhou ·. Edit social preview. Quantum systems are often classified into Hermitian and non-Hermitian ones. Extraordinary non-Hermitian phenomena, ranging from the non-Hermitian skin effect to the supersensitivity to boundary conditions, …

WebAug 18, 2024 · Non-Hermitian systems in condensed matter Physics are well studied in recent years. In conventional viewpoint, the non-Hermiticity of a Hamiltonian is obtained by dissipative or gain and loss. WebApr 21, 2024 · Quantum systems are often classified into Hermitian and non-Hermitian ones. Extraordinary non-Hermitian phenomena, ranging from the non-Hermitian skin effect to the supersensitivity to boundary conditions, have been widely explored. Whereas these intriguing phenomena have been considered peculiar to non-Hermitian systems, we …

WebJun 4, 2024 · The understanding and control of non-Hermitian phenomena is becoming every day more important. Here the authors establish the duality between non … is c still used in 2021WebApr 21, 2024 · Increasing the non-Hermiticity thus makes the space more curved, as shown by Fig. 1 redc. Approaching EP, t L → 0, κ diverges, and the localization length, \(1/\ln ( \gamma )\) , vanishes ... ruth astle triathlonWebCurving the space by non-Hermiticity. Abstract: Abstract Quantum systems are often classified into Hermitian and non-Hermitian ones. Extraordinary non-Hermitian phenomena, ranging from the non-Hermitian skin effect to the supersensitivity to boundary conditions, have been widely explored. Whereas these intriguing phenomena have been considered ... is c ssdWebIn practice, it provides experimentalists with a powerful two-fold application, using non-Hermiticity to engineer curvatures or implementing synthetic curved spaces to explore … ruth astle coachingWebThe understanding and control of non-Hermitian phenomena is becoming every day more important. Here the authors establish the duality between... DOAJ is a unique and … ruth astley facebookWebApr 21, 2024 · U.S. Department of Energy Office of Scientific and Technical Information. Search terms: Advanced search options. ... is c slopeWebJun 1, 2024 · The understanding and control of non-Hermitian phenomena is becoming every day more important. Here the authors establish the duality between non-Hermiticity … is c still used today