Pub Date : 2026-06-15Epub Date: 2026-03-03DOI: 10.1016/j.physleta.2026.131538
José Leonardo Esteves Da Silva , David Carneiro De Souza
This work presents new analytical and probabilistic results arising from the dynamics of quantum κ-disentropy, a functional used to quantify entanglement and uses the Lambert-Kaniadakis Wκ(x) function in its kernel- a recent generalization of the Lambert W function based on the Kaniadakis κ-exponential function. First, we show how Rényi-based κ-disentropy (and consequently κ-disentropy) can be used to indicate the purity of a qubit state in the Bloch sphere. Second, we apply κ-disentropy to measure the disentanglement of two-qubit random quantum states in quantum networks, demonstrating that this functional exhibits behavior dual to the Wooters entanglement entropy formula (Wootters, W. K. Phys. Rev. Lett. 1998). Finally, we described how the quasi-probability of Fock states can be computed using the Lambert-Kaniadakis function and how the quantum relative Rényi-based κ-disentropy measures the distance between Wigner functions in phase space.
这项工作提出了由量子κ-非熵动力学产生的新的分析和概率结果，量子κ-非熵是一种用于量化纠缠的函数，并在其核中使用Lambert-Kaniadakis Wκ(x)函数-基于Kaniadakis κ-指数函数的Lambert W函数的最新推广。首先，我们展示了如何使用基于r -disentropy（以及随后的κ-disentropy）来表示布洛赫球中量子比特状态的纯度。其次，我们应用κ-disentropy来测量量子网络中两个量子位随机量子态的解纠缠，证明该函数表现出与Wooters纠缠熵公式对偶的行为（Wooters， W. K. Phys）。Rev. Lett. 1998)。最后，我们描述了如何使用Lambert-Kaniadakis函数计算Fock态的准概率，以及如何使用基于r的量子相对熵来测量相空间中Wigner函数之间的距离。
{"title":"Analytical and probabilistic results arising from the dynamics of quantum κ-disentropy","authors":"José Leonardo Esteves Da Silva , David Carneiro De Souza","doi":"10.1016/j.physleta.2026.131538","DOIUrl":"10.1016/j.physleta.2026.131538","url":null,"abstract":"<div><div>This work presents new analytical and probabilistic results arising from the dynamics of quantum <em>κ</em>-disentropy, a functional used to quantify entanglement and uses the Lambert-Kaniadakis <em>W<sub>κ</sub></em>(<em>x</em>) function in its kernel- a recent generalization of the Lambert <em>W</em> function based on the Kaniadakis <em>κ</em>-exponential function. First, we show how Rényi-based <em>κ</em>-disentropy (and consequently <em>κ</em>-disentropy) can be used to indicate the purity of a qubit state in the Bloch sphere. Second, we apply <em>κ</em>-disentropy to measure the disentanglement of two-qubit random quantum states in quantum networks, demonstrating that this functional exhibits behavior dual to the Wooters entanglement entropy formula (Wootters, W. K. <em>Phys. Rev. Lett</em>. 1998). Finally, we described how the quasi-probability of Fock states can be computed using the Lambert-Kaniadakis function and how the quantum relative Rényi-based <em>κ</em>-disentropy measures the distance between Wigner functions in phase space.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"581 ","pages":"Article 131538"},"PeriodicalIF":2.6,"publicationDate":"2026-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147388205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-06-15Epub Date: 2026-02-27DOI: 10.1016/j.physleta.2026.131535
Zhao Li
The challenge of obtaining accurate analytical solutions for fractional partial differential equation is addressed in this study, a problem deemed important due to the critical role of fractional partial differential equation in modeling complex phenomena with memory and non-local effects. This article aims to study a solver based on artificial neural networks for obtaining accurate analytical solutions of fractional partial differential equation. A general analytical solution method for fractional partial differential equations is proposed by utilizing the powerful function approximation ability of neural networks and combining it with the trial function method. The method is applied to the fractional Phi-4 equation and a series of exact analytical solutions are obtained. In addition, with the help of Matlab mathematical software, three-dimensional graphics, two-dimensional curves, and contour maps of partial solutions are drawn to visually display the morphological characteristics of the understanding, verifying the effectiveness and practicality of the proposed method.
{"title":"Solving the exactly explicit solutions of the conformable space-time fractional Phi-4 equation via neural networks method","authors":"Zhao Li","doi":"10.1016/j.physleta.2026.131535","DOIUrl":"10.1016/j.physleta.2026.131535","url":null,"abstract":"<div><div>The challenge of obtaining accurate analytical solutions for fractional partial differential equation is addressed in this study, a problem deemed important due to the critical role of fractional partial differential equation in modeling complex phenomena with memory and non-local effects. This article aims to study a solver based on artificial neural networks for obtaining accurate analytical solutions of fractional partial differential equation. A general analytical solution method for fractional partial differential equations is proposed by utilizing the powerful function approximation ability of neural networks and combining it with the trial function method. The method is applied to the fractional Phi-4 equation and a series of exact analytical solutions are obtained. In addition, with the help of Matlab mathematical software, three-dimensional graphics, two-dimensional curves, and contour maps of partial solutions are drawn to visually display the morphological characteristics of the understanding, verifying the effectiveness and practicality of the proposed method.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"581 ","pages":"Article 131535"},"PeriodicalIF":2.6,"publicationDate":"2026-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147388183","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We have experimentally and theoretically investigated the charge resonance enhanced ionization (CREI) dominated dissociation dynamics of the polyatomic molecule CH3Cl. This study have demonstrated that the CREI model previously established for generalized homonuclear diatomic molecules retains its validity even for generalized heteronuclear diatomic molecules CH3Cl. CREI is a process that is highly sensitive to the internuclear distance between C and Cl prior to the Coulomb explosion (CE) of CH3Cl, i.e., the pump-probe delay. The low energy CE channel of CH3Cl is attributed to the CREI mechanism, as evidenced by the delay-dependent changes in its total kinetic energy release (KER) and enhancement. Additionally, the classical and AIMD methods indicate that 59 and 108 fs are required for the CH3Cl to reach the critical internuclear distance, respectively.
{"title":"An extensional study of charge resonance enhanced ionization of polyatomic molecule in strong laser fields: CH3Cl","authors":"Yingbo Shi, Guoqiang Shi, Siyuan Dong, Jia Yi, Peng Yuan, Wenxuan Yao, Shaohua Sun, Bitao Hu, Zuoye Liu","doi":"10.1016/j.physleta.2026.131469","DOIUrl":"10.1016/j.physleta.2026.131469","url":null,"abstract":"<div><div>We have experimentally and theoretically investigated the charge resonance enhanced ionization (CREI) dominated dissociation dynamics of the polyatomic molecule CH<sub>3</sub>Cl. This study have demonstrated that the CREI model previously established for generalized homonuclear diatomic molecules retains its validity even for generalized heteronuclear diatomic molecules CH<sub>3</sub>Cl. CREI is a process that is highly sensitive to the internuclear distance between C and Cl prior to the Coulomb explosion (CE) of CH<sub>3</sub>Cl<span><math><msup><mrow></mrow><mrow><mn>2</mn><mo>+</mo></mrow></msup></math></span>, i.e., the pump-probe delay. The low energy CE channel of CH<sub>3</sub>Cl<span><math><msup><mrow></mrow><mrow><mn>2</mn><mo>+</mo></mrow></msup></math></span> is attributed to the CREI mechanism, as evidenced by the delay-dependent changes in its total kinetic energy release (KER) and enhancement. Additionally, the classical and AIMD methods indicate that 59 and 108 fs are required for the CH<sub>3</sub>Cl<span><math><msup><mrow></mrow><mo>+</mo></msup></math></span> to reach the critical internuclear distance, respectively.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"581 ","pages":"Article 131469"},"PeriodicalIF":2.6,"publicationDate":"2026-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147388184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-06-15Epub Date: 2026-03-01DOI: 10.1016/j.physleta.2026.131541
Aleksei S. Leshchev, Yuri V. Rozhdesvenskii
In this article, we present a gradiometer based on the dynamics of a dielectric microparticle in an optical radiation field with a Gaussian beam profile. The particle oscillates in a gravitational field and an optical field, creating an optical pendulum without any mechanical parts. The dynamics of the particle depend on gravitational field which enables precise measurement of the gravity acceleration. We present a conceptual design of the gradiometer and estimate the impact of various noise sources. This method offers an estimated accuracy of for , which is higher than accuracy of quantum gradiometers.
{"title":"Ballistic gradiometer based on microsphere dynamics in a Gaussian laser beam","authors":"Aleksei S. Leshchev, Yuri V. Rozhdesvenskii","doi":"10.1016/j.physleta.2026.131541","DOIUrl":"10.1016/j.physleta.2026.131541","url":null,"abstract":"<div><div>In this article, we present a gradiometer based on the dynamics of a dielectric microparticle in an optical radiation field with a Gaussian beam profile. The particle oscillates in a gravitational field and an optical field, creating an optical pendulum without any mechanical parts. The dynamics of the particle depend on gravitational field which enables precise measurement of the gravity acceleration. We present a conceptual design of the gradiometer and estimate the impact of various noise sources. This method offers an estimated accuracy of <span><math><mrow><mn>0.05</mn><mi>E</mi></mrow></math></span> for <span><math><mrow><mn>11000</mn><mi>s</mi></mrow></math></span>, which is higher than accuracy of quantum gradiometers.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"581 ","pages":"Article 131541"},"PeriodicalIF":2.6,"publicationDate":"2026-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147388188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-06-15Epub Date: 2026-02-23DOI: 10.1016/j.physleta.2026.131522
Sagar Chandra , Harsh Hemani , Vivek M. Chavan
This paper presents a data-driven surrogate modeling framework for crystal plasticity analysis of orientation dependent porosity evolution in isolated single crystals as well as in cases where the porous crystal is embedded as a central grain in various polycrystalline textures. An ensemble learning approach is implemented via various machine learning methods to learn the intrinsic data representations and predict the yield strength, coalescence strain and void growth rate in porous ductile crystals. The learning frameworks are also assessed by predicting these output variables for a new set of orientations in isolated single crystals and in cases where the porous crystal is embedded in polycrystalline environment with different textures. Corresponding crystal plasticity simulations are also performed to authenticate these predictions of machine learning. The likes of the present work are expected to fundamentally transform the analysis of void mediated plasticity and damage behavior in anisotropic ductile solids.
{"title":"Assessing the influence of orientation and surrounding texture on plastic response of porous crystals through a crystal plasticity and data driven modeling approach","authors":"Sagar Chandra , Harsh Hemani , Vivek M. Chavan","doi":"10.1016/j.physleta.2026.131522","DOIUrl":"10.1016/j.physleta.2026.131522","url":null,"abstract":"<div><div>This paper presents a data-driven surrogate modeling framework for crystal plasticity analysis of orientation dependent porosity evolution in isolated single crystals as well as in cases where the porous crystal is embedded as a central grain in various polycrystalline textures. An ensemble learning approach is implemented via various machine learning methods to learn the intrinsic data representations and predict the yield strength, coalescence strain and void growth rate in porous ductile crystals. The learning frameworks are also assessed by predicting these output variables for a new set of orientations in isolated single crystals and in cases where the porous crystal is embedded in polycrystalline environment with different textures. Corresponding crystal plasticity simulations are also performed to authenticate these predictions of machine learning. The likes of the present work are expected to fundamentally transform the analysis of void mediated plasticity and damage behavior in anisotropic ductile solids.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"581 ","pages":"Article 131522"},"PeriodicalIF":2.6,"publicationDate":"2026-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147388186","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-06-15Epub Date: 2026-03-03DOI: 10.1016/j.physleta.2026.131544
Yassine Chargui , Abdelmalek Boumali
This paper has a twofold objective: First, we present the exact treatment of a -dimensional Dirac oscillator where the mass and the frequency vary in time as: and . This choice allows separable solutions in time and space, obtained via a direct method. Second, motivated by the model’s equivalence to the Anti-Jaynes-Cummings interaction between a two-level atom and a single-mode quantized field, we investigate the dynamics of quantum entanglement between the chirality (atom) and position (field) degrees of freedom, along with the individual nonclassicalities of each subsystem, assuming the field starts in a number state. Entanglement is quantified by negativity and Von Neumann entropy, while nonclassicality is assessed via entanglement potential, Wigner function negativity, and a skew information-based measure. The analysis reveals that both the entanglement and individual nonclassicalities dynamically stabilize at nonzero values, in contrast to the time-independent case, where these quantities undergo persistent oscillations.
{"title":"Dynamics of entanglement and nonclassicality in a time-dependent Dirac oscillator","authors":"Yassine Chargui , Abdelmalek Boumali","doi":"10.1016/j.physleta.2026.131544","DOIUrl":"10.1016/j.physleta.2026.131544","url":null,"abstract":"<div><div>This paper has a twofold objective: First, we present the exact treatment of a <span><math><mrow><mo>(</mo><mn>1</mn><mo>+</mo><mn>1</mn><mo>)</mo></mrow></math></span>-dimensional Dirac oscillator where the mass and the frequency vary in time as: <span><math><mrow><mi>m</mi><mo>=</mo><msub><mi>m</mi><mn>0</mn></msub><msup><mi>e</mi><mrow><mi>γ</mi><mi>t</mi></mrow></msup></mrow></math></span> and <span><math><mrow><mi>ω</mi><mo>=</mo><msub><mi>ω</mi><mn>0</mn></msub><msup><mi>e</mi><mrow><mo>−</mo><mi>γ</mi><mi>t</mi></mrow></msup></mrow></math></span>. This choice allows separable solutions in time and space, obtained via a direct method. Second, motivated by the model’s equivalence to the Anti-Jaynes-Cummings interaction between a two-level atom and a single-mode quantized field, we investigate the dynamics of quantum entanglement between the chirality (atom) and position (field) degrees of freedom, along with the individual nonclassicalities of each subsystem, assuming the field starts in a number state. Entanglement is quantified by negativity and Von Neumann entropy, while nonclassicality is assessed via entanglement potential, Wigner function negativity, and a skew information-based measure. The analysis reveals that both the entanglement and individual nonclassicalities dynamically stabilize at nonzero values, in contrast to the time-independent case, where these quantities undergo persistent oscillations.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"581 ","pages":"Article 131544"},"PeriodicalIF":2.6,"publicationDate":"2026-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147388182","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-06-15Epub Date: 2026-03-02DOI: 10.1016/j.physleta.2026.131540
Artem Mukhamedyanov , Evgeny Andrianov , Alexander Zyablovsky
We propose a model of binary random number generator (RNG) based on a Brillouin optomechanical system. The device uses a hard excitation mode in a Brillouin optomechanical system, where thermal noise induces spontaneous transitions between two stable states in the hard excitation mode. We demonstrate the existence of an amplitude criterion for observing these transitions and show that the probability distribution of their occurrence in the non-generating and generating states can be precisely controlled by the amplitude of an external pump wave. At the same time, the use of a low-intensity seed wave allows for the control of the transition times between states. We demonstrate that the proposed random number generator successfully passes the standard tests NIST SP 800-22. The obtained result opens a way for development of an all-optical integrated True RNG, generating a sequence of random bits with equal probability.
{"title":"All-optical Brillouin random number generator","authors":"Artem Mukhamedyanov , Evgeny Andrianov , Alexander Zyablovsky","doi":"10.1016/j.physleta.2026.131540","DOIUrl":"10.1016/j.physleta.2026.131540","url":null,"abstract":"<div><div>We propose a model of binary random number generator (RNG) based on a Brillouin optomechanical system. The device uses a hard excitation mode in a Brillouin optomechanical system, where thermal noise induces spontaneous transitions between two stable states in the hard excitation mode. We demonstrate the existence of an amplitude criterion for observing these transitions and show that the probability distribution of their occurrence in the non-generating and generating states can be precisely controlled by the amplitude of an external pump wave. At the same time, the use of a low-intensity seed wave allows for the control of the transition times between states. We demonstrate that the proposed random number generator successfully passes the standard tests NIST SP 800-22. The obtained result opens a way for development of an all-optical integrated True RNG, generating a sequence of random bits with equal probability.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"581 ","pages":"Article 131540"},"PeriodicalIF":2.6,"publicationDate":"2026-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147388203","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-06-15Epub Date: 2026-03-03DOI: 10.1016/j.physleta.2026.131543
Amba Prasad, Manju S. John, Fergy John
Nanocrystalline CeO₂ nanoparticles were synthesized via a modified auto-ignition combustion method and characterized by X-ray diffraction (XRD), Fourier-transform infrared spectroscopy (FTIR), ultraviolet–visible spectroscopy (UV–Vis), photoluminescence spectroscopy (PL), scanning electron microscopy with energy-dispersive X-ray spectroscopy (SEM-EDX), and transmission electron microscopy (TEM). The nanoparticles exhibited a single-phase cubic fluorite structure with a crystallite size of ∼22 nm, strong UV absorption, a band gap of 2.9 eV, and multicolor photoluminescence (411–762 nm) from oxygen-vacancy and Ce³⁺/Ce⁴⁺ defect states. Broad-spectrum antimicrobial activity was confirmed against Escherichia coli, Staphylococcus aureus, and Candida albicans. MTT assays demonstrated cytocompatibility toward L929 fibroblasts (IC₅₀ = 283.86 µg/mL), selective anticancer activity against A549 cells (IC₅₀ = 204.69 µg/mL), and enhanced efficacy upon doxorubicin loading (IC₅₀ = 164.87 µg/mL) with minimal toxicity to normal cells. These findings establish CeO₂ nanoparticles as multifunctional candidates for optical, antimicrobial, and therapeutic applications.
{"title":"Optically active CeO₂ nanoparticles: Band-gap modulation, multicolor photoluminescence, and biofunctional applications","authors":"Amba Prasad, Manju S. John, Fergy John","doi":"10.1016/j.physleta.2026.131543","DOIUrl":"10.1016/j.physleta.2026.131543","url":null,"abstract":"<div><div>Nanocrystalline CeO₂ nanoparticles were synthesized via a modified auto-ignition combustion method and characterized by X-ray diffraction (XRD), Fourier-transform infrared spectroscopy (FTIR), ultraviolet–visible spectroscopy (UV–Vis), photoluminescence spectroscopy (PL), scanning electron microscopy with energy-dispersive X-ray spectroscopy (SEM-EDX), and transmission electron microscopy (TEM). The nanoparticles exhibited a single-phase cubic fluorite structure with a crystallite size of ∼22 nm, strong UV absorption, a band gap of 2.9 eV, and multicolor photoluminescence (411–762 nm) from oxygen-vacancy and Ce³⁺/Ce⁴⁺ defect states. Broad-spectrum antimicrobial activity was confirmed against <em>Escherichia coli, Staphylococcus aureus</em>, and <em>Candida albicans</em>. MTT assays demonstrated cytocompatibility toward L929 fibroblasts (IC₅₀ = 283.86 µg/mL), selective anticancer activity against A549 cells (IC₅₀ = 204.69 µg/mL), and enhanced efficacy upon doxorubicin loading (IC₅₀ = 164.87 µg/mL) with minimal toxicity to normal cells. These findings establish CeO₂ nanoparticles as multifunctional candidates for optical, antimicrobial, and therapeutic applications.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"581 ","pages":"Article 131543"},"PeriodicalIF":2.6,"publicationDate":"2026-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147388185","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-06-15Epub Date: 2026-02-28DOI: 10.1016/j.physleta.2026.131536
José J. Garcia
A variety of physical phenomena, such as amplification, absorption, and radiation, can be effectively described using non-Hermitian operators. However, the introduction of non-uniform non-Hermiticity can lead to the formation of exceptional points in a system’s spectrum, where two or more eigenvalues become degenerate and their associated eigenvectors coalesce causing the underlying operator or matrix to become defective. We explore extensions of the Clifford and quadratic ϵ-pseudospectrum, previously defined for Hermitian operators. We provide a framework for finding approximate joint eigenvectors of a d-tuple of Hermitian operators A and non-Hermitian operators B, and show that their Clifford and quadratic ϵ-pseudospectra are still well-defined despite any non-normality. We prove that the non-Hermitian quadratic gap is local with respect to the probe location when there are perturbations to one or more of the underlying operators. This framework enables the exploration of non-Hermitian physical systems’ ϵ-pseudospectra, including but not limited to photonic systems.
{"title":"Clifford and quadratic composite operators with applications to non-Hermitian physics","authors":"José J. Garcia","doi":"10.1016/j.physleta.2026.131536","DOIUrl":"10.1016/j.physleta.2026.131536","url":null,"abstract":"<div><div>A variety of physical phenomena, such as amplification, absorption, and radiation, can be effectively described using non-Hermitian operators. However, the introduction of non-uniform non-Hermiticity can lead to the formation of exceptional points in a system’s spectrum, where two or more eigenvalues become degenerate and their associated eigenvectors coalesce causing the underlying operator or matrix to become defective. We explore extensions of the Clifford and quadratic ϵ-pseudospectrum, previously defined for Hermitian operators. We provide a framework for finding approximate joint eigenvectors of a <em>d</em>-tuple of Hermitian operators <strong><em>A</em></strong> and non-Hermitian operators <strong><em>B</em></strong>, and show that their Clifford and quadratic ϵ-pseudospectra are still well-defined despite any non-normality. We prove that the non-Hermitian quadratic gap is local with respect to the probe location when there are perturbations to one or more of the underlying operators. This framework enables the exploration of non-Hermitian physical systems’ ϵ-pseudospectra, including but not limited to photonic systems.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"581 ","pages":"Article 131536"},"PeriodicalIF":2.6,"publicationDate":"2026-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147388181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-06-15Epub Date: 2026-03-03DOI: 10.1016/j.physleta.2026.131545
Hao Pan, Fengqiang He, Zitong Wu
In this paper, we propose a millimeter-level-resolution parallel ranging scheme based on a flat-top frequency-modulated electro-optic frequency comb (FM-EOFC). A linearly swept FMCW laser generated by single-sideband modulation seeds a cascaded electro-optic modulation structure to produce an FM-EOFC with 25 GHz spacing, 71 comb lines with flatness <1 dB, and a chirp rate of 100 GHz/μs per line. The distinct comb lines are mapped to 71 wavelength-division-multiplexed ranging channels, enabling parallel ranging without multiple swept lasers. The results show that without the need for multiple swept-laser sources, the proposed scheme achieves parallel laser ranging with 71 detection channels and millimeter-level resolution, while maintaining good inter-channel consistency and system stability. The scheme offers significant advantages in system compactness, measurement throughput, and channel scalability, providing a promising technical route for the development of next-generation high-precision, high-throughput FMCW LiDAR and related precision optical ranging systems.
{"title":"Millimeter-level resolution parallel ranging system based on a flat-top frequency modulated electro-optic frequency comb","authors":"Hao Pan, Fengqiang He, Zitong Wu","doi":"10.1016/j.physleta.2026.131545","DOIUrl":"10.1016/j.physleta.2026.131545","url":null,"abstract":"<div><div>In this paper, we propose a millimeter-level-resolution parallel ranging scheme based on a flat-top frequency-modulated electro-optic frequency comb (FM-EOFC). A linearly swept FMCW laser generated by single-sideband modulation seeds a cascaded electro-optic modulation structure to produce an FM-EOFC with 25 GHz spacing, 71 comb lines with flatness <1 dB, and a chirp rate of 100 GHz/μs per line. The distinct comb lines are mapped to 71 wavelength-division-multiplexed ranging channels, enabling parallel ranging without multiple swept lasers. The results show that without the need for multiple swept-laser sources, the proposed scheme achieves parallel laser ranging with 71 detection channels and millimeter-level resolution, while maintaining good inter-channel consistency and system stability. The scheme offers significant advantages in system compactness, measurement throughput, and channel scalability, providing a promising technical route for the development of next-generation high-precision, high-throughput FMCW LiDAR and related precision optical ranging systems.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"581 ","pages":"Article 131545"},"PeriodicalIF":2.6,"publicationDate":"2026-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147388187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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