Pub Date : 2023-10-11DOI: 10.1140/epjs/s11734-023-01000-6
Meng Xu, Joachim Ankerhold
Abstract The hierarchical equations of motion (HEOM) provide a numerically exact approach for simulating the dynamics of open quantum systems coupled to a harmonic bath. However, its applicability has traditionally been limited to specific spectral forms and relatively high temperatures. Recently, an extended version called Free-Pole HEOM (FP-HEOM) has been developed to overcome these limitations. In this study, we demonstrate that the FP-HEOM method can be systematically employed to investigate higher order master equations by truncating the FP-HEOM hierarchy at a desired tier. We focus on the challenging scenario of the spin-boson problem with a sub-Ohmic spectral distribution at zero temperature and analyze the performance of the corresponding master equations. Furthermore, we compare the memory kernel for population dynamics obtained from the exact FP-HEOM dynamics with that of the approximate Non-Interacting-Blip Approximation (NIBA).
{"title":"About the performance of perturbative treatments of the spin-boson dynamics within the hierarchical equations of motion approach","authors":"Meng Xu, Joachim Ankerhold","doi":"10.1140/epjs/s11734-023-01000-6","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-01000-6","url":null,"abstract":"Abstract The hierarchical equations of motion (HEOM) provide a numerically exact approach for simulating the dynamics of open quantum systems coupled to a harmonic bath. However, its applicability has traditionally been limited to specific spectral forms and relatively high temperatures. Recently, an extended version called Free-Pole HEOM (FP-HEOM) has been developed to overcome these limitations. In this study, we demonstrate that the FP-HEOM method can be systematically employed to investigate higher order master equations by truncating the FP-HEOM hierarchy at a desired tier. We focus on the challenging scenario of the spin-boson problem with a sub-Ohmic spectral distribution at zero temperature and analyze the performance of the corresponding master equations. Furthermore, we compare the memory kernel for population dynamics obtained from the exact FP-HEOM dynamics with that of the approximate Non-Interacting-Blip Approximation (NIBA).","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":"245 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136063065","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 : 2023-10-10DOI: 10.1140/epjs/s11734-023-00999-y
Jacob M. Leamer, Wenlei Zhang, Nicholas J. Savino, Ravi K. Saripalli, Sanjaya Lohani, Ryan T. Glasser, Denys I. Bondar
{"title":"Publisher Correction to: 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/s11734-023-00999-y","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-00999-y","url":null,"abstract":"","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136295102","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 : 2023-10-06DOI: 10.1140/epjs/s11734-023-00998-z
Sergei V. Koniakhin
{"title":"Effects of resource competition on evolution and adaptive radiation","authors":"Sergei V. Koniakhin","doi":"10.1140/epjs/s11734-023-00998-z","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-00998-z","url":null,"abstract":"","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135302151","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 : 2023-10-06DOI: 10.1140/epjs/s11734-023-00985-4
Billie V. DeLuca, Anil K. Patnaik
{"title":"Fourier transfer function for generic light pulse storage and retrieval using EIT","authors":"Billie V. DeLuca, Anil K. Patnaik","doi":"10.1140/epjs/s11734-023-00985-4","DOIUrl":"https://doi.org/10.1140/epjs/s11734-023-00985-4","url":null,"abstract":"","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135347289","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 : 2023-09-27DOI: 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}
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