Pub Date : 2023-11-14DOI: 10.1140/epjs/s11734-023-01008-y
Shohei Watabe, Michael Zach Serikow, Shiro Kawabata, Alexandre Zagoskin
Abstract The development of percolation theory was historically shaped by its numerous applications in various branches of science, in particular in statistical physics, and was mainly constrained to the case of Euclidean spaces. One of its central concepts, the percolation transition, is defined through the appearance of the infinite cluster, and therefore cannot be used in compact spaces, such as the Hilbert space of an N -qubit system. Here, we propose its generalization for the case of a random space covering by hyperspheres, introducing the concept of a “maximal cluster”. Our numerical calculations reproduce the standard power-law relation between the hypersphere radius and the cover density, but show that as the number of qubits increases, the exponent quickly vanishes (i.e., the exponentially increasing dimensionality of the Hilbert space makes its covering by finite-size hyperspheres inefficient). Therefore the percolation transition is not an efficient model for the behavior of multiqubit systems, compared to the random walk model in the Hilbert space. However, our approach to the percolation transition in compact metric spaces may prove useful for its rigorous treatment in other contexts.
{"title":"Continuous percolation in a Hilbert space for a large system of qubits","authors":"Shohei Watabe, Michael Zach Serikow, Shiro Kawabata, Alexandre Zagoskin","doi":"10.1140/epjs/s11734-023-01008-y","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-01008-y","url":null,"abstract":"Abstract The development of percolation theory was historically shaped by its numerous applications in various branches of science, in particular in statistical physics, and was mainly constrained to the case of Euclidean spaces. One of its central concepts, the percolation transition, is defined through the appearance of the infinite cluster, and therefore cannot be used in compact spaces, such as the Hilbert space of an N -qubit system. Here, we propose its generalization for the case of a random space covering by hyperspheres, introducing the concept of a “maximal cluster”. Our numerical calculations reproduce the standard power-law relation between the hypersphere radius and the cover density, but show that as the number of qubits increases, the exponent quickly vanishes (i.e., the exponentially increasing dimensionality of the Hilbert space makes its covering by finite-size hyperspheres inefficient). Therefore the percolation transition is not an efficient model for the behavior of multiqubit systems, compared to the random walk model in the Hilbert space. However, our approach to the percolation transition in compact metric spaces may prove useful for its rigorous treatment in other contexts.","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134902638","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 : 2023-11-02DOI: 10.1140/epjs/s11734-023-01006-0
J. N. Pandya, P. Santorelli, N. R. Soni
{"title":"Prediction of various observables for $$B_s^0 rightarrow D_s^{(*)-}ell ^+nu _ell$$ within covariant confined quark model","authors":"J. N. Pandya, P. Santorelli, N. R. Soni","doi":"10.1140/epjs/s11734-023-01006-0","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-01006-0","url":null,"abstract":"","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135933901","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 : 2023-10-30DOI: 10.1140/epjs/s11734-023-01002-4
Salah Boulaaras, Rashid Jan, Viet-Thanh Pham
{"title":"Recent advancement of fractional calculus and its applications in physical systems","authors":"Salah Boulaaras, Rashid Jan, Viet-Thanh Pham","doi":"10.1140/epjs/s11734-023-01002-4","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-01002-4","url":null,"abstract":"","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136067796","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 : 2023-10-23DOI: 10.1140/epjs/s11734-023-00997-0
Shaojuan Ma, Meibo Wang, Xiaoyan Ma, Hufei Li
{"title":"Multi-stability analysis and energy control for 4D hyperchaotic system with hidden attractors","authors":"Shaojuan Ma, Meibo Wang, Xiaoyan Ma, Hufei Li","doi":"10.1140/epjs/s11734-023-00997-0","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-00997-0","url":null,"abstract":"","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135368650","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 : 2023-10-23DOI: 10.1140/epjs/s11734-023-01001-5
Theodorus Maria Nieuwenhuizen
Abstract A class of observers is introduced that interpolate smoothly between the Schwarzschild observer, stable at spatial infinity, and the Kerr–Schild observer, who falls into a black hole. For these observers, the passing of the event and inner horizon takes a finite time, which diverges logarithmically when the interpolation parameter $$sigma $$ σ goes to zero. In the field theoretic approach to gravitation, the behavior at the horizons becomes regular, making the mass of the metric well defined.
{"title":"The smeared-horizon observer of a black hole","authors":"Theodorus Maria Nieuwenhuizen","doi":"10.1140/epjs/s11734-023-01001-5","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-01001-5","url":null,"abstract":"Abstract A class of observers is introduced that interpolate smoothly between the Schwarzschild observer, stable at spatial infinity, and the Kerr–Schild observer, who falls into a black hole. For these observers, the passing of the event and inner horizon takes a finite time, which diverges logarithmically when the interpolation parameter $$sigma $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>σ</mml:mi> </mml:math> goes to zero. In the field theoretic approach to gravitation, the behavior at the horizons becomes regular, making the mass of the metric well defined.","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135366481","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 : 2023-10-19DOI: 10.1140/epjs/s11734-023-01004-2
Karol Białas, Jerzy Łuczka, Jakub Spiechowicz
Abstract We extend our previous studies on a counter-intuitive effect in which a directed transport of a free Brownian particle induced by active fluctuations can be significantly enhanced when the particle is placed in a periodic potential. It is in clear contrast to a common situation when the velocity of the Brownian particle is notably reduced if the periodic potential is switched on. As a model of active fluctuations, we employ white Poissonian shot noise. We reconsider the case of the skew-normal amplitude distribution of shot noise and focus on the impact of statistical characteristics of its amplitude like mean, variance, and skewness on the magnitude of free particle transport enhancement. In particular, we detect intriguing oscillations of the rescaled velocity of the particle as a function of the variance. Our findings can be corroborated experimentally in both biological and artificial microscopic systems.
{"title":"Control of particle transport driven by active noise: strategy of amplification via a periodic potential","authors":"Karol Białas, Jerzy Łuczka, Jakub Spiechowicz","doi":"10.1140/epjs/s11734-023-01004-2","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-01004-2","url":null,"abstract":"Abstract We extend our previous studies on a counter-intuitive effect in which a directed transport of a free Brownian particle induced by active fluctuations can be significantly enhanced when the particle is placed in a periodic potential. It is in clear contrast to a common situation when the velocity of the Brownian particle is notably reduced if the periodic potential is switched on. As a model of active fluctuations, we employ white Poissonian shot noise. We reconsider the case of the skew-normal amplitude distribution of shot noise and focus on the impact of statistical characteristics of its amplitude like mean, variance, and skewness on the magnitude of free particle transport enhancement. In particular, we detect intriguing oscillations of the rescaled velocity of the particle as a function of the variance. Our findings can be corroborated experimentally in both biological and artificial microscopic systems.","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135728879","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 : 2023-10-16DOI: 10.1140/epjs/s11734-023-00991-6
K. Mukherjee, T. Arnone Cardinale, L. Chergui, P. Stürmer, S. M. Reimann
Abstract In this mini-review, we briefly summarize some of the main concepts and ideas behind highly dilute self-bound quantum droplets of both binary and dipolar character. The latter type of systems has more recently led to the experimental discovery of a dipolar supersolid state that allows entirely new insights on this long-sought purely quantum state of matter, with exciting prospects for fundamental research as well as future applied quantum sensing technologies. The first half of the review provides a brief history of droplets and supersolidity in various settings and also discusses the self-binding in binary quantum gases, and the second half of the review summarizes our own recent work in the field, presented at the 2022 FQMT conference in Prague.
{"title":"Droplets and supersolids in ultra-cold atomic quantum gases","authors":"K. Mukherjee, T. Arnone Cardinale, L. Chergui, P. Stürmer, S. M. Reimann","doi":"10.1140/epjs/s11734-023-00991-6","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-00991-6","url":null,"abstract":"Abstract In this mini-review, we briefly summarize some of the main concepts and ideas behind highly dilute self-bound quantum droplets of both binary and dipolar character. The latter type of systems has more recently led to the experimental discovery of a dipolar supersolid state that allows entirely new insights on this long-sought purely quantum state of matter, with exciting prospects for fundamental research as well as future applied quantum sensing technologies. The first half of the review provides a brief history of droplets and supersolidity in various settings and also discusses the self-binding in binary quantum gases, and the second half of the review summarizes our own recent work in the field, presented at the 2022 FQMT conference in Prague.","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136114495","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 : 2023-10-16DOI: 10.1140/epjs/s11734-023-00992-5
Guofang Li, Xiaojuan Sun
{"title":"Coherence resonance modulated by hybrid synapses and time delay in modular small-world neuronal networks with E–I balanced state","authors":"Guofang Li, Xiaojuan Sun","doi":"10.1140/epjs/s11734-023-00992-5","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-00992-5","url":null,"abstract":"","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136079069","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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