Pub Date : 2024-01-24DOI: 10.1209/0295-5075/ad222c
Giuseppe Luca Celardo, Mattia Angeli, Francesco Mattiotti, Robin Kaiser
Abstract Searching for Anderson localization of light in three dimensions has challenged experimental and theoretical research for the last decades. Here the problem is analyzed through large scale numerical simulations, using a radiative Hamiltonian i.e. a non-Hermitian long-range hopping Hamiltonian, well suited to model light-matter interaction in cold atomic clouds. Light interaction in atomic clouds is considered in presence of positional and diagonal disorder. Due to the interplay of disorder and cooperative effects (sub- and super-radiance) a novel type of localization transition is shown to emerge, differing in several aspects from standard localization transitions which occur along the real energy axis. The localization transition discussed here is characterized by a mobility edge along the imaginary energy axis of the eigenvalues which is mostly independent from the real energy value of the eigenmodes. Differently from usual mobility edges it separates extended states from hybrid localized states and it manifest itself in the large moments of the participation ratio of the eigenstates. Our prediction of a mobility edge in the imaginary axis, i.e. depending on the eigenmode lifetime, paves the way to achieve control both in the time and space domain of open quantum systems.
{"title":"Localization of light in three dimensions: A mobility edge in the imaginary axis in non-Hermitian Hamiltonians","authors":"Giuseppe Luca Celardo, Mattia Angeli, Francesco Mattiotti, Robin Kaiser","doi":"10.1209/0295-5075/ad222c","DOIUrl":"https://doi.org/10.1209/0295-5075/ad222c","url":null,"abstract":"<jats:title>Abstract</jats:title> Searching for Anderson localization of light in three dimensions has challenged experimental and theoretical research for the last decades. Here the problem is analyzed through large scale numerical simulations, using a radiative Hamiltonian i.e. a non-Hermitian long-range hopping Hamiltonian, well suited to model light-matter interaction in cold atomic clouds. Light interaction in atomic clouds is considered in presence of positional and diagonal disorder. Due to the interplay of disorder and cooperative effects (sub- and super-radiance) a novel type of localization transition is shown to emerge, differing in several aspects from standard localization transitions which occur along the real energy axis. The localization transition discussed here is characterized by a mobility edge along the imaginary energy axis of the eigenvalues which is mostly independent from the real energy value of the eigenmodes. Differently from usual mobility edges it separates extended states from hybrid localized states and it manifest itself in the large moments of the participation ratio of the eigenstates. Our prediction of a mobility edge in the imaginary axis, i.e. depending on the eigenmode lifetime, paves the way to achieve control both in the time and space domain of open quantum systems.","PeriodicalId":11738,"journal":{"name":"EPL","volume":"203 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140054071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-01-24DOI: 10.1209/0295-5075/ad222b
Leo Touzo, Pierre Le Doussal
Abstract We consider N run-and-tumble particles in one dimension interacting via a linear 1D Coulomb potential, an active version of the rank diffusion problem. It was solved previously for N=2 leading to a stationary bound state in the attractive case. Here the evolution of the density fields is obtained in the large N limit in terms of two coupled Burger’s type equations. In the attractive case the exact stationary solution describes a non-trivial N-particle bound state, which exhibits transitions between a phase where the density is smooth with infinite support, a phase where the density has finite support and exhibits ”shocks”, i.e. clusters of particles, at the edges, and a fully clustered phase. In presence of an additional linear potential, the phase diagram, obtained for either sign of the interaction, is even richer, with additional partially expanding phases, with or without shocks. Finally, a general self-consistent method is introduced to treat more general interactions. The predictions are tested through numerical simulations.
摘要 我们考虑了一维中通过线性一维库仑势相互作用的 N 个奔跑和翻滚粒子，这是等级扩散问题的主动版本。该问题曾在 N=2 的情况下求解，并得出了吸引力情况下的静止束缚态。在这里，密度场的演化是通过两个耦合伯格方程在大 N 极限得到的。在有吸引力的情况下，精确的静态解描述了一个非三维的 N 粒子束缚态，该束缚态在以下三个阶段之间发生转变：密度为无限支撑的平滑阶段；密度为有限支撑并在边缘表现出 "冲击"（即粒子群）的阶段；以及完全成团的阶段。在存在额外线性势的情况下，在相互作用的任一符号下得到的相图甚至更加丰富，有额外的部分膨胀相，有或没有冲击。最后，引入了一种一般自洽方法来处理更一般的相互作用。预测结果通过数值模拟进行了检验。
{"title":"Non-equilibrium phase transitions in active rank diffusions","authors":"Leo Touzo, Pierre Le Doussal","doi":"10.1209/0295-5075/ad222b","DOIUrl":"https://doi.org/10.1209/0295-5075/ad222b","url":null,"abstract":"<jats:title>Abstract</jats:title> We consider N run-and-tumble particles in one dimension interacting via a linear 1D Coulomb potential, an active version of the rank diffusion problem. It was solved previously for N=2 leading to a stationary bound state in the attractive case. Here the evolution of the density fields is obtained in the large N limit in terms of two coupled Burger’s type equations. In the attractive case the exact stationary solution describes a non-trivial N-particle bound state, which exhibits transitions between a phase where the density is smooth with infinite support, a phase where the density has finite support and exhibits ”shocks”, i.e. clusters of particles, at the edges, and a fully clustered phase. In presence of an additional linear potential, the phase diagram, obtained for either sign of the interaction, is even richer, with additional partially expanding phases, with or without shocks. Finally, a general self-consistent method is introduced to treat more general interactions. The predictions are tested through numerical simulations.","PeriodicalId":11738,"journal":{"name":"EPL","volume":"35 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140054073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-01-19DOI: 10.1209/0295-5075/ad2087
Avanish Kumar, Itamar Procaccia
Abstract The aim of this short review is to summarize the developing theory aimed at describing the effect of plastic events in amorphous solids on its emergent mechanics. Experiments and simulations present anomalous mechanical response of amorphous solids where quadrupolar plastic events collectively induce distributed dipoles that are analogous to dislocations in crystalline solids. The novel theory is described, and a number of pertinent examples are provided, including the comparison of theoretical prediction to simulations or experiments.
{"title":"Elasticity, plasticity and screening in amorphous solids: A short review","authors":"Avanish Kumar, Itamar Procaccia","doi":"10.1209/0295-5075/ad2087","DOIUrl":"https://doi.org/10.1209/0295-5075/ad2087","url":null,"abstract":"<jats:title>Abstract</jats:title> The aim of this short review is to summarize the developing theory aimed at describing the effect of plastic events in amorphous solids on its emergent mechanics. Experiments and simulations present anomalous mechanical response of amorphous solids where quadrupolar plastic events collectively induce distributed dipoles that are analogous to dislocations in crystalline solids. The novel theory is described, and a number of pertinent examples are provided, including the comparison of theoretical prediction to simulations or experiments.&#xD;","PeriodicalId":11738,"journal":{"name":"EPL","volume":"16 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140054234","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-01-16DOI: 10.1209/0295-5075/ad1ef2
Nick James, Max Menzies
Abstract We introduce new mathematical methods to study the optimal portfolio size of investment portfolios over time, considering investors with varying skill levels. First, we explore the benefit of portfolio diversification on an annual basis for poor, average and strong investors defined by the 10th, 50th and 90th percentiles of risk-adjusted returns, respectively. Second, we conduct a thorough regression experiment examining quantiles of risk-adjusted return as a function of portfolio size across investor ability, testing for trends and curvature within these functions. Finally, we study the optimal portfolio size for poor, average and strong investors in a continuously temporal manner using more than 20 years of data. We show that strong investors should hold concentrated portfolios, poor investors should hold diversified portfolios; average investors have a less obvious distribution with the optimal number varying materially over time.
{"title":"Portfolio diversification with varying investor abilities","authors":"Nick James, Max Menzies","doi":"10.1209/0295-5075/ad1ef2","DOIUrl":"https://doi.org/10.1209/0295-5075/ad1ef2","url":null,"abstract":"<jats:title>Abstract</jats:title> We introduce new mathematical methods to study the optimal portfolio size of investment portfolios over time, considering investors with varying skill levels. First, we explore the benefit of portfolio diversification on an annual basis for poor, average and strong investors defined by the 10th, 50th and 90th percentiles of risk-adjusted returns, respectively. Second, we conduct a thorough regression experiment examining quantiles of risk-adjusted return as a function of portfolio size across investor ability, testing for trends and curvature within these functions. Finally, we study the optimal portfolio size for poor, average and strong investors in a continuously temporal manner using more than 20 years of data. We show that strong investors should hold concentrated portfolios, poor investors should hold diversified portfolios; average investors have a less obvious distribution with the optimal number varying materially over time.","PeriodicalId":11738,"journal":{"name":"EPL","volume":"24 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140054372","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-01-11DOI: 10.1209/0295-5075/ad1d70
Antonio Patrón, Bernardo Sánchez-Rey, Emmanuel Trizac, Antonio Prados
Abstract We study the dynamical behaviour of mesoscopic systems in contact with a thermal bath, described either via a non-linear Langevin equation at the trajectory level---or the corresponding Fokker-Planck equation for the probability distribution function at the ensemble level. Our focus is put on one-dimensional---or $d$-dimensional isotropic---systems in confining potentials, with detailed balance---fluctuation-dissipation thus holds, and the stationary probability distribution has the canonical form at the bath temperature. When quenching the bath temperature to low enough values, a far-from-equilibrium state emerges that rules the dynamics over a characteristic intermediate timescale. Such a long-lived state has a Dirac-delta probability distribution function and attracts all solutions over this intermediate timescale, in which the initial conditions are immaterial while the influence of the bath is still negligible. Numerical evidence and qualitative physical arguments suggest that the above picture extends to higher-dimensional systems, with anisotropy and interactions.
{"title":"Non-equilibrium attractor for non-linear stochastic dynamics","authors":"Antonio Patrón, Bernardo Sánchez-Rey, Emmanuel Trizac, Antonio Prados","doi":"10.1209/0295-5075/ad1d70","DOIUrl":"https://doi.org/10.1209/0295-5075/ad1d70","url":null,"abstract":"<jats:title>Abstract</jats:title> We study the dynamical behaviour of mesoscopic systems in contact with a thermal bath, described either via a non-linear Langevin equation at the trajectory level---or the corresponding Fokker-Planck equation for the probability distribution function at the ensemble level. Our focus is put on one-dimensional---or $d$-dimensional isotropic---systems in confining potentials, with detailed balance---fluctuation-dissipation thus holds, and the stationary probability distribution has the canonical form at the bath temperature. When quenching the bath temperature to low enough values, a far-from-equilibrium state emerges that rules the dynamics over a characteristic intermediate timescale. Such a long-lived state has a Dirac-delta probability distribution function and attracts all solutions over this intermediate timescale, in which the initial conditions are immaterial while the influence of the bath is still negligible. Numerical evidence and qualitative physical arguments suggest that the above picture extends to higher-dimensional systems, with anisotropy and interactions.","PeriodicalId":11738,"journal":{"name":"EPL","volume":"32 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140057727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-01-08DOI: 10.1209/0295-5075/ad1c05
Jeremy Worsfold, Tim Rogers
Abstract When a new vehicle joins a lane, those behind may have to temporarily slow to accommodate them. 
Changing lane can be forced due to lane drops or junctions, but may also take place spontaneously at discretion of drivers, and recent studies have found that traffic jams and traffic oscillations can form even without such bottlenecks.
Understanding how lane changing behaviour affects traffic flow is important for learning how to design roads and control traffic more effectively.
Here, we present a stochastic model of spontaneous lane changing which exhibits a reduction in the overall flow of traffic. 
By examining the average flow rate both analytically and through simulations we find a definitive slow down of vehicles due to random switching between lanes. 
This results in the fundamental diagram depending on the rate of lane switching.
By extending the model to three lane traffic we find a larger impact on the flow of the middle lane compared to the side lanes.
{"title":"Stay in your lane: Density fluctuations in multi-lane traffic","authors":"Jeremy Worsfold, Tim Rogers","doi":"10.1209/0295-5075/ad1c05","DOIUrl":"https://doi.org/10.1209/0295-5075/ad1c05","url":null,"abstract":"<jats:title>Abstract</jats:title> When a new vehicle joins a lane, those behind may have to temporarily slow to accommodate them. &#xD;Changing lane can be forced due to lane drops or junctions, but may also take place spontaneously at discretion of drivers, and recent studies have found that traffic jams and traffic oscillations can form even without such bottlenecks.&#xD;Understanding how lane changing behaviour affects traffic flow is important for learning how to design roads and control traffic more effectively.&#xD;Here, we present a stochastic model of spontaneous lane changing which exhibits a reduction in the overall flow of traffic. &#xD;By examining the average flow rate both analytically and through simulations we find a definitive slow down of vehicles due to random switching between lanes. &#xD;This results in the fundamental diagram depending on the rate of lane switching.&#xD;By extending the model to three lane traffic we find a larger impact on the flow of the middle lane compared to the side lanes.","PeriodicalId":11738,"journal":{"name":"EPL","volume":"10 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140054069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2023-12-20DOI: 10.1209/0295-5075/ad177b
Xue-Wei Yan, Yong Chen
Abstract In this work, we study the high-order rogue wave solution for the Fokas-Lenells equation using the Kadomtsev-Petviashvili (KP) reduction method. These rogue wave patterns consist of triangle, pentagon, heptagon, nonagon, which are analytically described by the root structures of the Yablonskii-Vorob'ev polynomial hierarchy. On the other hand, we also report the other types of rogue wave patterns including heart-shaped, fan-shaped, two-arc+triangle, arc+pentagon, etc., which are analytically described by the root structures of Adler-Moser polynomials. These polynomials are the generalizations of the Yablonskii-Vorob'ev polynomial hierarchy, because of the arbitrariness of complex parameter . In addition, these rogue wave patterns are formed by the Peregrine solitons undergoing dilation, rotation, stretch, shear and translation. We also compare the prediction solutions with the corresponding true solutions and show the good consistency between them.
{"title":"Rogue wave patterns of the Fokas-Lenells equation","authors":"Xue-Wei Yan, Yong Chen","doi":"10.1209/0295-5075/ad177b","DOIUrl":"https://doi.org/10.1209/0295-5075/ad177b","url":null,"abstract":"<jats:title>Abstract</jats:title> In this work, we study the high-order rogue wave solution for the Fokas-Lenells equation using the Kadomtsev-Petviashvili (KP) reduction method. These rogue wave patterns consist of triangle, pentagon, heptagon, nonagon, which are analytically described by the root structures of the Yablonskii-Vorob'ev polynomial hierarchy. On the other hand, we also report the other types of rogue wave patterns including heart-shaped, fan-shaped, two-arc+triangle, arc+pentagon, etc., which are analytically described by the root structures of Adler-Moser polynomials. These polynomials are the generalizations of the Yablonskii-Vorob'ev polynomial hierarchy, because of the arbitrariness of complex parameter <jats:inline-formula> <jats:tex-math><?CDATA $a_{2j+1}$ ?></jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"epl23100723ieqn1.gif\" xlink:type=\"simple\" /> </jats:inline-formula>. In addition, these rogue wave patterns are formed by the Peregrine solitons undergoing dilation, rotation, stretch, shear and translation. We also compare the prediction solutions with the corresponding true solutions and show the good consistency between them.","PeriodicalId":11738,"journal":{"name":"EPL","volume":"203 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140054012","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2023-12-20DOI: 10.1209/0295-5075/ad177d
Kaonan Micadei, Gabriel T. Landi, Eric Lutz
Abstract Despite their theoretical importance, dynamic Bayesian networks associated with quantum processes are currently not accessible experimentally. We here describe a general scheme to determine the multi-time path probability of a Bayesian network based on local measurements on independent copies of a composite quantum system combined with postselection. We further show that this protocol corresponds to a nonprojective measurement. It thus allows the investigation of the multi-time properties of a given local observable while fully preserving all its quantum features.
{"title":"Extracting Bayesian networks from multiple copies of a quantum system","authors":"Kaonan Micadei, Gabriel T. Landi, Eric Lutz","doi":"10.1209/0295-5075/ad177d","DOIUrl":"https://doi.org/10.1209/0295-5075/ad177d","url":null,"abstract":"<jats:title>Abstract</jats:title> Despite their theoretical importance, dynamic Bayesian networks associated with quantum processes are currently not accessible experimentally. We here describe a general scheme to determine the multi-time path probability of a Bayesian network based on local measurements on independent copies of a composite quantum system combined with postselection. We further show that this protocol corresponds to a nonprojective measurement. It thus allows the investigation of the multi-time properties of a given local observable while fully preserving all its quantum features.","PeriodicalId":11738,"journal":{"name":"EPL","volume":"203 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140054066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2023-12-06DOI: 10.1209/0295-5075/ad130b
Xiaopeng Cui, Yu Shi
Abstract We propose the correspondence between the Hamiltonian cycle (HC) problem in graph theory and the quantum lattice gauge theory (QZ2LGT) defined on the lattice dual to that graph. For the QZ2LGT, when the coupling parameter g is less than the critical value gc, the ground state is a superposition of all configurations with closed strings of same spins, which can be obtained by using an adiabatic quantum algorithm. A subsequent search for a HC among those closed strings solves the original HC problem. The method is demonstrated for random samples of small graphs.
摘要 我们提出了图论中的哈密顿循环（HC）问题与定义在该图对偶晶格上的量子晶格规理论（QZ2LGT）之间的对应关系。对于 QZ2LGT，当耦合参数 g 小于临界值 g c 时，基态是所有具有相同自旋的闭合弦的构型的叠加，可以通过绝热量子算法获得。随后在这些闭合弦中寻找一个 HC，就解决了最初的 HC 问题。该方法针对小型图的随机样本进行了演示。
{"title":"Correspondence between the Hamiltonian cycle problem and the quantum lattice gauge theory","authors":"Xiaopeng Cui, Yu Shi","doi":"10.1209/0295-5075/ad130b","DOIUrl":"https://doi.org/10.1209/0295-5075/ad130b","url":null,"abstract":"<jats:title>Abstract</jats:title> We propose the correspondence between the Hamiltonian cycle (HC) problem in graph theory and the quantum <jats:inline-formula> <jats:tex-math><?CDATA $mathbb {Z}_{2}$ ?></jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"epl23100758ieqn3.gif\" xlink:type=\"simple\" /> </jats:inline-formula> lattice gauge theory (QZ2LGT) defined on the lattice dual to that graph. For the QZ2LGT, when the coupling parameter <jats:italic>g</jats:italic> is less than the critical value <jats:italic>g</jats:italic> <jats:sub> <jats:italic>c</jats:italic> </jats:sub>, the ground state is a superposition of all configurations with closed strings of same spins, which can be obtained by using an adiabatic quantum algorithm. A subsequent search for a HC among those closed strings solves the original HC problem. The method is demonstrated for random samples of small graphs.","PeriodicalId":11738,"journal":{"name":"EPL","volume":"16 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140054115","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2023-12-05DOI: 10.1209/0295-5075/ad12a2
Zhouzhou Sun, Weixin Lu, Ping Bai
Abstract We explicitly derive the general conditions of a metamaterial slab to achieve coherent perfect absorber (CPA) and laser under the excitation of two counter-propagating incident waves. Our results provide a unified theory that could be applied in designing homogenous metamaterial with complex parameters for realizing CPAs and lasers. Especially, the theory discusses two special cases, i.e., case 1) a metamaterial slab with complex permittivity and real permeability, or complex permeability and real permittivity, and case 2) a metamaterial slab with both complex permittivity and permeability, which encompass the entire range of metamaterials with complex parameters. For both cases, our theory accurately derives the required parameters of the metamaterial for CPA, laser and their coexistence, as validated by numerical simulations. Our work serves as a guide for designing CPAs and lasers via general metamaterial slabs of complex parameters.
{"title":"Theory on coherent perfect absorber and laser via a metamaterial slab with complex parameters","authors":"Zhouzhou Sun, Weixin Lu, Ping Bai","doi":"10.1209/0295-5075/ad12a2","DOIUrl":"https://doi.org/10.1209/0295-5075/ad12a2","url":null,"abstract":"<jats:title>Abstract</jats:title> We explicitly derive the general conditions of a metamaterial slab to achieve coherent perfect absorber (CPA) and laser under the excitation of two counter-propagating incident waves. Our results provide a unified theory that could be applied in designing homogenous metamaterial with complex parameters for realizing CPAs and lasers. Especially, the theory discusses two special cases, <jats:italic>i.e.</jats:italic>, case 1) a metamaterial slab with complex permittivity and real permeability, or complex permeability and real permittivity, and case 2) a metamaterial slab with both complex permittivity and permeability, which encompass the entire range of metamaterials with complex parameters. For both cases, our theory accurately derives the required parameters of the metamaterial for CPA, laser and their coexistence, as validated by numerical simulations. Our work serves as a guide for designing CPAs and lasers via general metamaterial slabs of complex parameters.","PeriodicalId":11738,"journal":{"name":"EPL","volume":"81 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140054113","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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