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Spectral Distances: Results for Moyal Plane and Noncommutative Torus [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2010 The spectral distance for noncommutative Moyal planes is considered in the framework of a non compact spectral triple recently proposed as a possible noncommutative analog of non compact Riemannian spin manifold.
Eric Cagnache, Jean-Christophe Wallet
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Noncommutative tensor triangulated categories and coherent frames
Comptes Rendus. Mathématique, 2023 We develop a point-free approach for constructing the Nakano–Vashaw–Yakimov–Balmer spectrum of a noncommutative tensor triangulated category under certain assumptions.
Mallick, Vivek Mohan, Ray, Samarpita
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Experimental characterization of three-band braid relations in non-Hermitian acoustic lattices
Physical Review Research, 2023 The nature of complex eigenenergy enables unique band topology in non-Hermitian (NH) lattices. Recently, there has been fast growing interest in the elusive winding and braiding topologies of the NH single and double bands, respectively. Here, we explore
Qicheng Zhang +6 more
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Quantum metric spaces of quantum maps
Universal Journal of Mathematics and Applications, 2018 We show that any quantum family of quantum maps from a noncommutative space to a compact quantum metric space has a canonical quantum pseudo-metric structure.
Maysam Maysami Sadr
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Emergent fuzzy geometry and fuzzy physics in four dimensions
Nuclear Physics B, 2017 A detailed Monte Carlo calculation of the phase diagram of bosonic mass-deformed IKKT Yang–Mills matrix models in three and six dimensions with quartic mass deformations is given.
Badis Ydri, Ahlam Rouag, Khaled Ramda
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Floquet many-body engineering: topology and many-body physics in phase space lattices
New Journal of Physics, 2018 Hamiltonians which are inaccessible in static systems can be engineered in periodically driven many-body systems, i.e., Floquet many-body systems. We propose to use interacting particles in a one-dimensional (1D) harmonic potential with periodic kicking ...
Pengfei Liang +2 more
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Thermodynamic topology of AdS black holes within non-commutative geometry and Barrow entropy
Nuclear Physics BIn this paper, we explore the thermodynamic topology of Schwarzschild-AdS black holes within the framework of non-commutative geometry and Barrow entropy.
Aram Bahroz Brzo +3 more
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Physical Review ResearchThe nontrivial topology of spin systems such as skyrmions in real space can promote complex electronic states. Here, we provide a general viewpoint at the emergence of topological spectral gaps in spin systems based on the methods of noncommutative K ...
Fabian R. Lux +4 more
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AxiomsWe present Hyperbolic Symmetric Hypermodular Neural Operators (ONHSH), a novel operator learning framework for solving partial differential equations (PDEs) in curved, anisotropic, and modularly structured domains.
Rômulo Damasclin Chaves dos Santos +1 more
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Noncommutative AdS black hole and the IR holographic superconductor
European Physical Journal C: Particles and FieldsWe construct a noncommutative (NC) $$\hbox {AdS}_4$$ AdS 4 -charged black hole with a planar horizon topology. The NC effects of this geometry are captured by a Gaussian distribution of black hole mass codified in a fluid-like energy–momentum tensor.
Manuel de la Cruz-López +3 more
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