Pub Date : 2023-09-27DOI: 10.1140/epjs/s11734-023-00976-5
Nicklas Enenkel, Markus Garst, Peter Schmitteckert
Abstract We present important use cases and limitations when considering results obtained from cluster perturbation theory (CPT). CPT combines the solutions of small individual clusters of an infinite lattice system with the Bloch theory of conventional band theory to provide an approximation for the Green’s function in the thermodynamic limit. To this end, we are investigating single-band and multi-band Hubbard models in 1D and 2D systems. A special interest is taken in the supposed pseudogap regime of the 2D square lattice at half-filling and intermediate interaction strength ( $$U le 3t$$ U≤3t ) as well as the metal–insulator transition. We point out that the finite-size level spacing of the cluster limits the resolution of spectral features within CPT. This restricts the investigation of asymptotic properties of the metal–insulator transition, as it would require much larger cluster sizes that are beyond computational capabilities.
摘要在考虑聚类摄动理论(CPT)的结果时，我们提出了重要的用例和局限性。CPT将无限晶格系统的小簇解与常规带理论中的Bloch理论相结合，提供了热力学极限下格林函数的近似解。为此，我们正在研究一维和二维系统中的单波段和多波段哈伯德模型。本文特别关注了二维方形晶格在半填充和中等相互作用强度($$U le 3t$$ U≤3t)下的赝隙制度以及金属-绝缘体转变。我们指出，簇的有限大小的水平间距限制了CPT光谱特征的分辨率。这限制了对金属-绝缘体过渡的渐近性质的研究，因为它需要更大的簇大小，超出了计算能力。
{"title":"Applicability and limitations of cluster perturbation theory for Hubbard models","authors":"Nicklas Enenkel, Markus Garst, Peter Schmitteckert","doi":"10.1140/epjs/s11734-023-00976-5","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-00976-5","url":null,"abstract":"Abstract We present important use cases and limitations when considering results obtained from cluster perturbation theory (CPT). CPT combines the solutions of small individual clusters of an infinite lattice system with the Bloch theory of conventional band theory to provide an approximation for the Green’s function in the thermodynamic limit. To this end, we are investigating single-band and multi-band Hubbard models in 1D and 2D systems. A special interest is taken in the supposed pseudogap regime of the 2D square lattice at half-filling and intermediate interaction strength ( $$U le 3t$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>U</mml:mi> <mml:mo>≤</mml:mo> <mml:mn>3</mml:mn> <mml:mi>t</mml:mi> </mml:mrow> </mml:math> ) as well as the metal–insulator transition. We point out that the finite-size level spacing of the cluster limits the resolution of spectral features within CPT. This restricts the investigation of asymptotic properties of the metal–insulator transition, as it would require much larger cluster sizes that are beyond computational capabilities.","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135535703","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 : 2023-09-22DOI: 10.1140/epjs/s11734-023-00995-2
B. Krithika, P. Tamilalagan
{"title":"Unveiling the spread of epidemics involving partial immunity and reinfection: insights from a time-delayed mathematical model","authors":"B. Krithika, P. Tamilalagan","doi":"10.1140/epjs/s11734-023-00995-2","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-00995-2","url":null,"abstract":"","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136011503","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 : 2023-09-21DOI: 10.1140/epjs/s11734-023-00977-4
M. P. Liul, A. I. Ryzhov, S. N. Shevchenko
{"title":"Interferometry of multi-level systems: rate-equation approach for a charge qu$${ d }$$it","authors":"M. P. Liul, A. I. Ryzhov, S. N. Shevchenko","doi":"10.1140/epjs/s11734-023-00977-4","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-00977-4","url":null,"abstract":"","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136154821","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 : 2023-09-18DOI: 10.1140/epjs/s11734-023-00988-1
Jacob M. Leamer, Wenlei Zhang, Nicholas J. Savino, Ravi K. Saripalli, Sanjaya Lohani, Ryan T. Glasser, Denys I. Bondar
{"title":"Classical optical analogue of quantum discord","authors":"Jacob M. Leamer, Wenlei Zhang, Nicholas J. Savino, Ravi K. Saripalli, Sanjaya Lohani, Ryan T. Glasser, Denys I. Bondar","doi":"10.1140/epjs/s11734-023-00988-1","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-00988-1","url":null,"abstract":"","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":"169 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135154312","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 : 2023-09-15DOI: 10.1140/epjs/s11734-023-00978-3
Jiří J. Mareš, Václav Špička, Pavel Hubík
Abstract Thought experiments are effective tools of theoretical physics, and historically they have led to the discovery of many useful ideas and relations. Yet they also give rise to paradoxes that persist for long periods of time despite enormous efforts to resolve them. A problem par excellence, one that falls within the realm of classical electrodynamics and has been investigated exclusively by means of thought experiments, is the famous problem of hidden momentum. It concerns the conversion of the electromagnetic momentum generated by static electromagnetic fields into momentum of a non-electromagnetic nature and the resulting momentum balance. As a rule, this effect, which takes place in ponderable systems, is very subtle, of the order of $$sim$$ ∼ 1/ c 2 ; thus, until now it has only been studied theoretically and has never been demonstrated experimentally. The main subject of this paper is the analysis of a robust and experimentally well-established phenomenon operating in static electromagnetic fields—the ordinary Hall effect—which has been interpreted anew in terms of the Poynting vector and proven to be sufficiently sensitive for direct comparison with typical quantitative estimates encountered in the hidden momentum problem. Confrontation of hypothetical models with a real experiment enables us to formulate the general conditions and rules that should be observed when designing thought experiments in classical electrodynamics.
{"title":"Thought experiments in electromagnetic theory and the ordinary Hall effect","authors":"Jiří J. Mareš, Václav Špička, Pavel Hubík","doi":"10.1140/epjs/s11734-023-00978-3","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-00978-3","url":null,"abstract":"Abstract Thought experiments are effective tools of theoretical physics, and historically they have led to the discovery of many useful ideas and relations. Yet they also give rise to paradoxes that persist for long periods of time despite enormous efforts to resolve them. A problem par excellence, one that falls within the realm of classical electrodynamics and has been investigated exclusively by means of thought experiments, is the famous problem of hidden momentum. It concerns the conversion of the electromagnetic momentum generated by static electromagnetic fields into momentum of a non-electromagnetic nature and the resulting momentum balance. As a rule, this effect, which takes place in ponderable systems, is very subtle, of the order of $$sim$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mo>∼</mml:mo> </mml:math> 1/ c 2 ; thus, until now it has only been studied theoretically and has never been demonstrated experimentally. The main subject of this paper is the analysis of a robust and experimentally well-established phenomenon operating in static electromagnetic fields—the ordinary Hall effect—which has been interpreted anew in terms of the Poynting vector and proven to be sufficiently sensitive for direct comparison with typical quantitative estimates encountered in the hidden momentum problem. Confrontation of hypothetical models with a real experiment enables us to formulate the general conditions and rules that should be observed when designing thought experiments in classical electrodynamics.","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135395676","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 : 2023-09-14DOI: 10.1140/epjs/s11734-023-00962-x
Mustapha Bouallala, E. L.-Hassan Essoufi, Van Thien Nguyen, Wei Pang
{"title":"A time-fractional of a viscoelastic frictionless contact problem with normal compliance","authors":"Mustapha Bouallala, E. L.-Hassan Essoufi, Van Thien Nguyen, Wei Pang","doi":"10.1140/epjs/s11734-023-00962-x","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-00962-x","url":null,"abstract":"","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135487153","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 : 2023-09-14DOI: 10.1140/epjs/s11734-023-00986-3
Joe Rowland Adams, Julian Newman, Aneta Stefanovska
Abstract Time-dependent dynamics is ubiquitous in the natural world and beyond. Effectively analysing its presence in data is essential to our ability to understand the systems from which it is recorded. However, the traditional framework for dynamics analysis is in terms of time-independent dynamical systems and long-term statistics, as opposed to the explicit tracking over time of time-localised dynamical behaviour. We review commonly used analysis techniques based on this traditional statistical framework—such as the autocorrelation function, power-spectral density, and multiscale sample entropy—and contrast to an alternative framework in terms of finite-time dynamics of networks of time-dependent cyclic processes. In time-independent systems, the net effect of a large number of individually intractable contributions may be considered as noise; we show that time-dependent oscillator systems with only a small number of contributions may appear noise-like when analysed according to the traditional framework using power-spectral density estimation. However, methods characteristic of the time-dependent finite-time-dynamics framework, such as the wavelet transform and wavelet bispectrum, are able to identify the determinism and provide crucial information about the analysed system. Finally, we compare these two frameworks for three sets of experimental data. We demonstrate that while techniques based on the traditional framework are unable to reliably detect and understand underlying time-dependent dynamics, the alternative framework identifies deterministic oscillations and interactions.
{"title":"Distinguishing between deterministic oscillations and noise","authors":"Joe Rowland Adams, Julian Newman, Aneta Stefanovska","doi":"10.1140/epjs/s11734-023-00986-3","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-00986-3","url":null,"abstract":"Abstract Time-dependent dynamics is ubiquitous in the natural world and beyond. Effectively analysing its presence in data is essential to our ability to understand the systems from which it is recorded. However, the traditional framework for dynamics analysis is in terms of time-independent dynamical systems and long-term statistics, as opposed to the explicit tracking over time of time-localised dynamical behaviour. We review commonly used analysis techniques based on this traditional statistical framework—such as the autocorrelation function, power-spectral density, and multiscale sample entropy—and contrast to an alternative framework in terms of finite-time dynamics of networks of time-dependent cyclic processes. In time-independent systems, the net effect of a large number of individually intractable contributions may be considered as noise; we show that time-dependent oscillator systems with only a small number of contributions may appear noise-like when analysed according to the traditional framework using power-spectral density estimation. However, methods characteristic of the time-dependent finite-time-dynamics framework, such as the wavelet transform and wavelet bispectrum, are able to identify the determinism and provide crucial information about the analysed system. Finally, we compare these two frameworks for three sets of experimental data. We demonstrate that while techniques based on the traditional framework are unable to reliably detect and understand underlying time-dependent dynamics, the alternative framework identifies deterministic oscillations and interactions.","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134910504","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 : 2023-09-14DOI: 10.1140/epjs/s11734-023-00987-2
Stephen M. Barnett
Abstract We present and discuss two exact, but perhaps unfamiliar, representations of thermal radiation. The first has the form of a superposition of the quantum vacuum and a stochastic classical field and the second is the pure-state thermofield representation introduced by Takahashi and Umezawa. It is interesting that the former is, essentially, the opposite of Planck’s original conception of blackbody radiation.
{"title":"Vacuum representations of blackbody radiation","authors":"Stephen M. Barnett","doi":"10.1140/epjs/s11734-023-00987-2","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-00987-2","url":null,"abstract":"Abstract We present and discuss two exact, but perhaps unfamiliar, representations of thermal radiation. The first has the form of a superposition of the quantum vacuum and a stochastic classical field and the second is the pure-state thermofield representation introduced by Takahashi and Umezawa. It is interesting that the former is, essentially, the opposite of Planck’s original conception of blackbody radiation.","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":"2013 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134911289","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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