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arXiv 2024年

作者： Petek, Tatjana Romanovski, Valery G. Faculty of Electrical Engineering and Computer Science University of Maribor Koroska cesta 46 MariborSI-2000 Slovenia Institute of Mathematics Physics and Mechanics Jadranska 19 LjubljanaSI-1000 Slovenia Faculty of Natural Science and Mathematics University of Maribor Koroska cesta 160 MariborSI-2000 Slovenia Center for Applied Mathematics and Theoretical Physics Mladinska 3 MariborSI-2000 Slovenia

We investigate the integrability of polynomial vector fields through the lens of duality in parameter spaces. We examine formal power series solutions annihilated by differential operators and explore the properties of the integrability variety in relation to the invariants of the associated Lie group. Our study extends to differential operators on affine algebraic varieties, highlighting the intrinsic connection between these operators and local analytic first integrals. To illustrate the duality the case of quadratic vector fields is considered in detail. © 2024, CC BY.

关键词： Choquet integral

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Pseudo-observables and Deep Neural Network for mixed CP H → ττ decays at LHC

arXiv

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arXiv 2024年

作者： Richter-Was, E. Yerniyazov, T. Was, Z. Institute of Physics Jagiellonian University Lojasiewicza 11 Kraków30-348 Poland Faculty of Physics Astronomy and Applied Computer Science Jagiellonian University Lojasiewicza 11 Kraków30-348 Poland Institute of Nuclear Physics IFJ-PAN Radzikowskiego 152 Kraków31-342 Poland

The consecutive steps of cascade decay initiated by H → ττ can be useful for the measurement of Higgs couplings and in particular of the Higgs boson parity. The standard analysis method applied so far by ATLAS and CMS Collaborations was to fit a one-dimensional distribution of the angle between reconstructed decay planes of the τ lepton decays, ∗, which is sensitive to transverse spin correlations of the τ decays and, hence, to the CP state mixing angle, CP. Machine Learning techniques (ML) offer opportunities to manage such complex multidimensional signatures. The multidimensional signatures, the 4-momenta of the τ decay products can be used directly as input information to the machine learning algorithms to predict the CP-sensitive pseudo-observables and/or provide discrimination between different CP hypotheses. In the previous papers, we have shown that multidimensional signatures, the 4-momenta of the τ decay products can be used as input information to the machine learning algorithms to predict the CP-sensitive pseudo-observables and/or provide discrimination between different CP hypotheses. In this paper we show how the classification or regression methods can be used to train an ML model to predict the spin weight sensitive to the CP state of the decaying Higgs boson, parameters of the functional form of the spin weight, or the most preferred CP mixing angle of the analysed sample. The one-dimensional distribution of the predicted spin weight or the most preferred CP mixing angle of the experimental data can be examined further, with the statistical methods, to derive the measurement of the CP mixing state of the Higgs signal events in decay H → ττ. This paper extends studies presented in our previous publication, with more experimentally realistic scenarios for the features lists and further development of strategies how proposed pseudo-observables can be used in the measurement. Copyright © 2024, The Authors. All rights reserved.

关键词： Bosons

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EVERY FINITE SET OF NATURAL NUMBERS IS REALIZABLE AS ALGEBRAIC PERIODS OF A MORSE–SMALE DIFFEOMORPHISM

arXiv

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arXiv 2024年

作者： Graff, Grzegorz Marzantowicz, Wac Law Michalak, Lukasz Patryk Myszkowski, Adrian Faculty of Applied Physics and Mathematics Gdańsk University of Technology Narutowicza 11/12 Gdańsk80-233 Poland Faculty of Mathematics and Computer Science Adam Mickiewicz University of Poznań ul. Uniwersytetu Poznańskiego 4 Poznań61-614 Poland Institute of Mathematics Physics and Mechanics Jadranska 19 LjubljanaSI-1000 Slovenia Independent Researcher

A given self-map f: M → M of a compact manifold determines the sequence {L(fn)}∞n=1, of the Lefschetz numbers of its iterations. We consider its dual sequence {an(f)}∞n=1 given by the Möbius inversion formula. The set AP(f) = {n ∈ N: an(f) ≠ 0} is called the set of algebraic periods. We solve an open problem existing in literature by showing that for every finite subset A of natural numbers there exist an orientable surface Sg, as well as a non-orientable surface Ng, of genus g, and a Morse–Smale diffeomorphism f of this surface such that AP(f) = A. For such a map it implies the existence of points of a minimal period n for each odd n ∈ A. For the orientation-reversing Morse–Smale diffeomorphisms of Sg we identify strong restrictions on AP(f). Our method also provides an estimate of the number of homotopy classes of Morse–Smale diffeomorphisms, which is exponential in *** Codes Primary: 37C25 37E30, 57K20, Secondary: 55M20, 37D15 Copyright © 2024, The Authors. All rights reserved.

关键词： Algebra

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Fast evaluation of interaction integrals for confined systems with machine learning

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Physical Review B 2020年第7期102卷 075422-075422页

作者： A. Mreńca-Kolasińska K. Kolasiński B. Szafran AGH University of Science and Technology Faculty of Physics and Applied Computer Science aleja Mickiewicza 30 30-059 Kraków Poland

The calculation of interaction integrals is a bottleneck for the treatment of many-body quantum systems due to its high numerical cost. We conduct configuration interaction calculations of the few-electron states confined in III-V semiconductor two-dimensional structures using a shallow neural network to calculate the two-electron integrals, which can be used for general isotropic interaction potentials. This approach allows for a speedup of the evaluation of the energy levels and controllable accuracy.

关键词： III-V semiconductors Quantum dots Configuration interaction Machine learning

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Multifractal Hopscotch in Hopscotch by Julio Cortázar

arXiv

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arXiv 2025年

作者： Dec, Jakub Dolina, Michal Drozdz, Stanislaw Kwapien, Jaroslaw Stanisz, Tomasz Faculty of Computer Science and Telecommunications Cracow University of Technology Kraków31-155 Poland Complex Systems Theory Department Institute of Nuclear Physics Polish Academy of Sciences Kraków31-342 Poland

Punctuation is the main factor introducing correlations in natural language written texts and it crucially impacts their overall effectiveness, expressiveness, and readability. Punctuation marks at the end of sentences are of particular importance as their distribution can determine various complexity features of written natural language. Here, the sentence length variability (SLV) time series representing Hopscotch by Julio Cortázar are subjected to quantitative analysis with an attempt to identify their distribution type, long-memory effects, and potential multiscale patterns. The analyzed novel is an important and innovative piece of literature whose essential property is freedom of movement between its building blocks given to a reader by the author. The statistical consequences of this freedom are closely investigated in both the original, Spanish version of the novel, and its translations into English and Polish. Clear evidence of rich multifractality in the SLV dynamics, with a left-sided asymmetry, however, is observed in all three language versions as well as in the versions with differently ordered chapters. Copyright © 2025, The Authors. All rights reserved.

关键词： Weibull distribution

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Linear High-Gain Correction Observer in Nonlinear Control 20th

Linear High-Gain Correction Observer in Nonlinear Control

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20th Polish Control Conference, PCC 2020

作者： Latocha, Andrzej Faculty of Electrical Engineering Automatics Computer Science and Biomedical Engineering AGH University of Science and Technology Kraków Poland

ISBN: (纸本)9783030509354

The development of innovation technology requires one to provide control processes with better quality indexes. In modern control theory, the algorithms for calculating linear-quadratic regulator (LQR) for linear dynamic systems are known. The classical LQR algorithms do not take into account transport delays of the signals or uncertainty of measured values and models, which causes the task of stabilizing physical systems by classical LQR algorithm to contain significant errors which decrease quality indexes. Most control systems are non-linear, not isolated from the uncertainty of measured values and models. For this reason, in the paper the possibility of calculating a linear-quadratic regulator for non-linear systems, which will provide stability in a wider environment around the reference point for additive noise based on the high-gain disturbance correction observer, are proposed. © 2020, Springer Nature Switzerland AG.

关键词： Additive noise

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Paired electron motion in interacting chains of quantum dots

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Physical Review B 2020年第7期101卷 075306-075306页

作者： Bartłomiej Szafran AGH University of Science and Technology Faculty of Physics and Applied Computer Science aleja Mickiewicza 30 30-059 Kraków Poland

We study the motion of a pair of electrons along two separate parallel chains of quantum dots. The electrons that are released from the central dot of each chain tend to accompany and not avoid each other. The correlated electron motion involves entanglement of the wave functions which is generated in time upon release of the initial confinement. Observation of the simultaneous presence of electrons at the same side of the chain can provide a fingerprint of the paired electron motion.

关键词： Electron correlation calculations for atoms & ions Electron relaxation Entanglement entropy Entanglement production Pairing mechanisms Double quantum dots Quantum dots

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In Situ Formed Bimetal Metal-Organic Frameworks in Polyvinyl Alcohol/Sodium Alginate-Based Conductive Hydrogels Towards Soft Electronics

SSRN

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SSRN 2024年

作者： Li, Jiongru Wei, Huige Cui, Shuaichuan Hou, Hua Zhang, Yifan Zhang, Yingying Xu, Ben Bin El-Bahy, Zeinhom M. Melhi, Saad Sellami, Rahma Guo, Zhanhu Tianjin Key Laboratory of Brine Chemical Engineering and Resource Eco-utilization College of Chemical Engineering and Materials Science Tianjin University of Science and Technology Tianjin300457 China State Key Laboratory of Polymer Physics and Chemistry Changchun Institute of Applied Chemistry Chinese Academy of Sciences Changchun130022 China College of Materials Science and Engineering Taiyuan University of Science and Technology Taiyuan030024 China Tianjin University of Science and Technology China Department of Mechanical and Construction Engineering Northumbria University Newcastle Upon TyneNE1 8ST United Kingdom Department of Chemistry Faculty of Science Al-Azhar University Nasr City Cairo11884 Egypt Department of Computer Science Applied College Northern Border University Rafha91911 Saudi Arabia University of Bisha Saudi Arabia

Zeolitic imidazolate frameworks (ZIFs) have received enormous attention due to unique physi-chemical properties, but are rarely reported for applications in electrically conductive hydrogels (ECHs) arising from low intrinsic conductivity and poor dispersion. Herein, we propose an innovative strategy to prepare highly conductive and mechanically robust ECHs by in situ growing Ni/Co bimetallic ZIFs within the polyvinyl alcohol/sodium alginate dual network. 2-methylimidazole (MeIM) ligands are creatively copolymerized with pyrrole monomers to form Py-co-MeIM conductive fillers and improve the conjugation degree of the polymer chains and thereby increase the conductivity of the hydrogel. Meanwhile, MeIM ligands act as anchor points for the in-situ formation of bimetallic ZIFs by trapping targeted metal ions, effectively avoiding phase-to-phase interfacial resistance and ensuring a uniform distribution in the hydrogel network. Due to the synergism of Ni/Co bimetallic ZIFs, the PZPS hydrogel exhibits a high areal capacitance, promising for flexible energy storage devices. In addition, the hydrogel shows excellent mechanical strength and toughness, a high gauge factor and a pressure sensitivity over an extremely wide stress range when used as flexible wearable strain/pressure sensors. This study provides new insights to incorporating highly conductive and uniformly dispersed ZIFs into hydrogels for flexible wearable electronics. © 2024, The Authors. All rights reserved.

关键词： Hydrogels

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Nonlocal Temporal Interferometry for Highly Resilient Free-Space Quantum Communication

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Physical Review X 2023年第2期13卷 021001-021001页

作者： Lukas Bulla Matej Pivoluska Kristian Hjorth Oskar Kohout Jan Lang Sebastian Ecker Sebastian P. Neumann Julius Bittermann Robert Kindler Marcus Huber Martin Bohmann Rupert Ursin Institute for Quantum Optics and Quantum Information (IQOQI) Austrian Academy of Sciences Boltzmanngasse 3 1090 Vienna Austria Vienna Center for Quantum Science and Technology (VCQ) Faculty of Physics University of Vienna Boltzmanngasse 5 1090 Vienna Austria Institute of Computer Science Masaryk University 602 00 Brno Czech Republic Institute of Physics Slovak Academy of Sciences 845 11 Bratislava Slovakia Department of Physics Faculty of Natural Sciences Norwegian University of Science and Technology (NTNU) NO-7491 Trondheim Norway Fraunhofer Institute for Applied Optics and Precision Engineering IOF Albert-Einstein-Strasse 7 07745 Jena Germany Friedrich-Schiller-Universitt Jena FSU Frstengraben 1 07743 Jena Germany Vienna Center for Quantum Science and Technology (VCQ) Atominstitut Technische Universität Wien Stadionallee 2 1020 Vienna Austria

Entanglement distribution via photons over long distances enables many applications, including quantum key distribution, which provides unprecedented privacy. The inevitable degradation of entanglement through noise accumulated over long distances remains one of the key challenges in this area. Exploiting the potential of higher-dimensional entangled photons promises to address this challenge, but poses extreme demands on the experimental implementation. Here, we present a long-range free-space quantum link, distributing entanglement over 10.2 km with flexible dimensionality of encoding by deploying a phase-stable nonlocal Franson interferometer. With this distribution of multidimensional energy-time entangled photons, we analyze the achievable key rate in a dimensionally adaptive quantum key distribution protocol that can be optimized with respect to any environmental noise conditions. Our approach enables and emphasizes the power of high-dimensional entanglement for quantum communication, yielding a positive asymptotic key rate well into the dawn of the day.

关键词： Quantum channels Quantum communication Quantum cryptography Quantum entanglement Quantum information theory Quantum networks

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Design and Implementation of Multiphase Digital Oscillator

Design and Implementation of Multiphase Digital Oscillator

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International Conference on Electrical Engineering/Electronics, computer, Telecommunications and Information technology, ECTI-CON

作者： Thitaphan Jongsataporn Poonna Yospanya Sorawat Chivapreecha Department of Industrial Physics and Medical Instrumentation Faculty of Applied Science King Mongkut's University of Technology North Bangkok Bangkok Thailand Department of Telecommunication Engineering School of Engineering King Mongkut's Institute of Technology Ladkrabang Bangkok Thailand

ISBN: (数字)9798350381559

ISBN: (纸本)9798350381566

This paper presents a design and implementation of the multiphase digital oscillator, which can determine the initial phase of multi-output signals to desired initial phases. The proposed system consists of biquad digital oscillator to oscillate the reference signal, and the new phase shifters which are first order IIR filters that can shift the phase of signals at a specified frequency to give them the desired phases. Design example and simulation results will be shown. Moreover, real-time hardware implementation on STM32 digital signal processor can be demonstrated to confirm the proposed design can work with hardware experimental results.

关键词： Simulation Phase shifters Digital signal processors IIR filters Information filters Hardware Real-time systems

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