In this short review article, we aim to provide physicists not working within the quantum computing community a hopefully easy-to-read introduction to the state of the art in the field, with minimal mathematics involved. In particular, we focus on what is termed the Noisy Intermediate Scale Quantum era of quantum computing. We describe how this is increasingly seen to be a distinct phase in the development of quantum computers, heralding an era where we have quantum computers that are capable of doing certain quantum computations in a limited fashion, and subject to certain constraints and noise. We further discuss the prominent algorithms that are believed to hold the most potential for this era, and also describe the competing physical platforms on which to build a quantum computer that have seen the most success so far. We then talk about the applications that are most feasible in the near-term, and finish off with a short discussion on the state of the field. We hope that as non-experts read this article, it will give context to the recent developments in quantum computers that have garnered much popular press, and help the community understand how to place such developments in the timeline of quantum computing.
{"title":"NISQ computing: where are we and where do we go?","authors":"Jonathan Wei Zhong Lau, Kian Hwee Lim, Harshank Shrotriya, Leong Chuan Kwek","doi":"10.1007/s43673-022-00058-z","DOIUrl":"10.1007/s43673-022-00058-z","url":null,"abstract":"<div><p>In this short review article, we aim to provide physicists not working within the quantum computing community a hopefully easy-to-read introduction to the state of the art in the field, with minimal mathematics involved. In particular, we focus on what is termed the <i>Noisy Intermediate Scale Quantum</i> era of quantum computing. We describe how this is increasingly seen to be a distinct phase in the development of quantum computers, heralding an era where we have quantum computers that are capable of doing certain quantum computations in a limited fashion, and subject to certain constraints and noise. We further discuss the prominent algorithms that are believed to hold the most potential for this era, and also describe the competing physical platforms on which to build a quantum computer that have seen the most success so far. We then talk about the applications that are most feasible in the near-term, and finish off with a short discussion on the state of the field. We hope that as non-experts read this article, it will give context to the recent developments in quantum computers that have garnered much popular press, and help the community understand how to place such developments in the timeline of quantum computing.</p></div>","PeriodicalId":100007,"journal":{"name":"AAPPS Bulletin","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43673-022-00058-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89286842","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We review a recent progress of a superconductivity and a charge Kondo effect mediated by valence skippers which are elements skipping the valence state. To understand the valence skipping phenomenon, we introduce a negative-U effect phenomenologically, and we show an origin of the negative-U effect, a superconductivity and charge Kondo effect based on the negative-U effect. We also show a new mechanism in which the valence skipping phenomenon and charge Kondo effect are understood unifiedly by the pair hopping interaction. As an experimental progress, we review a charge Kondo effect and a superconductivity discovered in Tl-doped PbTe. Especially, we focus on a drastic increase of the inverse of the relaxation time (1/T1) observed around the Kondo temperature by the nuclear magnetic resonance experiment, and we suggest a possible theoretical scenario on the basis of the effective model with the pair hopping interaction. Finally, we discuss the related materials, and describe the perspective of valence skipping phenomenon.
{"title":"Valence skipping phenomena, charge Kondo effect, and superconductivity","authors":"Hiroyasu Matsuura, Hidekazu Mukuda, Kazumasa Miyake","doi":"10.1007/s43673-022-00056-1","DOIUrl":"10.1007/s43673-022-00056-1","url":null,"abstract":"<div><p>We review a recent progress of a superconductivity and a charge Kondo effect mediated by valence skippers which are elements skipping the valence state. To understand the valence skipping phenomenon, we introduce a negative-U effect phenomenologically, and we show an origin of the negative-U effect, a superconductivity and charge Kondo effect based on the negative-U effect. We also show a new mechanism in which the valence skipping phenomenon and charge Kondo effect are understood unifiedly by the pair hopping interaction. As an experimental progress, we review a charge Kondo effect and a superconductivity discovered in Tl-doped PbTe. Especially, we focus on a drastic increase of the inverse of the relaxation time (1/<i>T</i><sub>1</sub>) observed around the Kondo temperature by the nuclear magnetic resonance experiment, and we suggest a possible theoretical scenario on the basis of the effective model with the pair hopping interaction. Finally, we discuss the related materials, and describe the perspective of valence skipping phenomenon.</p></div>","PeriodicalId":100007,"journal":{"name":"AAPPS Bulletin","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43673-022-00056-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89361015","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-22DOI: 10.1007/s43673-022-00057-0
Naranmandula Bao, Junbiao Lu, Ruobing Cai, Yueheng Lan
Random matrix products arise in many science and engineering problems. An efficient evaluation of its growth rate is of great interest to researchers in diverse fields. In the current paper, we reformulate this problem with a generating function approach, based on which two analytic methods are proposed to compute the growth rate. The new formalism is demonstrated in a series of examples including an Ising model subject to on-site random magnetic fields, which seems very efficient and easy to implement. Through an extensive comparison with numerical computation, we see that the analytic results are valid in a region of considerable size.The formulation could be conveniently applied to stochastic processes with more complex structures.
{"title":"Computing growth rates of random matrix products via generating functions","authors":"Naranmandula Bao, Junbiao Lu, Ruobing Cai, Yueheng Lan","doi":"10.1007/s43673-022-00057-0","DOIUrl":"10.1007/s43673-022-00057-0","url":null,"abstract":"<div><p>Random matrix products arise in many science and engineering problems. An efficient evaluation of its growth rate is of great interest to researchers in diverse fields. In the current paper, we reformulate this problem with a generating function approach, based on which two analytic methods are proposed to compute the growth rate. The new formalism is demonstrated in a series of examples including an Ising model subject to on-site random magnetic fields, which seems very efficient and easy to implement. Through an extensive comparison with numerical computation, we see that the analytic results are valid in a region of considerable size.The formulation could be conveniently applied to stochastic processes with more complex structures.</p></div>","PeriodicalId":100007,"journal":{"name":"AAPPS Bulletin","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43673-022-00057-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91270813","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-21DOI: 10.1007/s43673-022-00059-y
Yuanye Wang, Jun Zhou, Yalin Liu, Weifeng Zhang, Zihan Zhao, Xiaotian Li, Qiaoni Chen, Nan Liu, Xi Shen, Richeng Yu, Jiacai Nie, Ruifen Dou
We report on a monolayer (ML) MoS2 belt-like single crystal directly fabricated on the Rutile-TiO2(001) surface via chemical vapor deposition (CVD). We find that the photoluminescence (PL) behaviors in the ML MoS2 single crystal strongly depend on their shapes and the interface of MoS2/TiO2. Compared with the as-grown triangular ML MoS2, the PL peak position is in a blue shift and the PL intensity is increased for the as-grown ML MoS2 belt. Moreover, the PL peak position is in the blue shift by about 38 meV and the intensity is enhanced by nearly 15 times for the as-grown ML MoS2 belt crystal on TiO2 than those samples transferred onto SiO2/Si substrate. This special PL behavior can be attributed to the in-plane compressive strain that is introduced during the CVD growth of ML MoS2 belts confined by the substrate. The energy band of the strained ML MoS2 belt is changed with an up-shift in the conduction band minimum (VBM) and a down-shift in the valence band maximum (CBM), and the band gap is thus enlarged. This results in the energy band structural realignment in the interface of MoS2/TiO2, thereby weakening the charge transferring from the TiO2 substrate to MoS2 and suppressing the concentration of charged excitons to finally enhance the PL intensity of the ML MoS2 belt. The substrate-confined ML MoS2 belts provide a new route for tailoring light-matter interactions to upgrade their weak quantum yields and low light absorption, which can be utilized in optoelectronic and nanophotonic devices.
我们报告了通过化学气相沉积(CVD)在金红石-二氧化钛(001)表面直接制造的单层(ML)MoS2 带状单晶。我们发现,ML MoS2 单晶的光致发光(PL)行为在很大程度上取决于它们的形状和 MoS2/TiO2 的界面。与生长后的三角形 ML MoS2 相比,生长后的 ML MoS2 带的光致发光峰位置偏蓝,光致发光强度增加。此外,与转移到 SiO2/Si 衬底上的样品相比,在 TiO2 上生长的 ML MoS2 带状晶体的 PL 峰位置蓝移了约 38 meV,强度增强了近 15 倍。这种特殊的聚光行为可归因于在 CVD 生长 ML MoS2 带晶过程中引入的面内压缩应变。受应变的 ML MoS2 带的能带发生了变化,导带最小值(VBM)上移,价带最大值(CBM)下移,从而扩大了带隙。这导致了 MoS2/TiO2 界面能带结构的重新调整,从而削弱了从 TiO2 衬底到 MoS2 的电荷转移,抑制了带电激子的浓度,最终增强了 ML MoS2 带的聚光强度。基底约束的 ML MoS2 带为定制光-物质相互作用提供了一条新的途径,以提高其微弱的量子产率和低光吸收率,从而可用于光电和纳米光子器件。
{"title":"Tuning photoluminescence behaviors in strained monolayer belt-like MoS2 crystals confined on TiO2(001) surface","authors":"Yuanye Wang, Jun Zhou, Yalin Liu, Weifeng Zhang, Zihan Zhao, Xiaotian Li, Qiaoni Chen, Nan Liu, Xi Shen, Richeng Yu, Jiacai Nie, Ruifen Dou","doi":"10.1007/s43673-022-00059-y","DOIUrl":"10.1007/s43673-022-00059-y","url":null,"abstract":"<div><p>We report on a monolayer (ML) MoS<sub>2</sub> belt-like single crystal directly fabricated on the Rutile-TiO<sub>2</sub>(001) surface via chemical vapor deposition (CVD). We find that the photoluminescence (PL) behaviors in the ML MoS<sub>2</sub> single crystal strongly depend on their shapes and the interface of MoS<sub>2</sub>/TiO<sub>2</sub>. Compared with the as-grown triangular ML MoS<sub>2</sub>, the PL peak position is in a blue shift and the PL intensity is increased for the as-grown ML MoS<sub>2</sub> belt. Moreover, the PL peak position is in the blue shift by about 38 meV and the intensity is enhanced by nearly 15 times for the as-grown ML MoS<sub>2</sub> belt crystal on TiO<sub>2</sub> than those samples transferred onto SiO<sub>2</sub>/Si substrate. This special PL behavior can be attributed to the in-plane compressive strain that is introduced during the CVD growth of ML MoS<sub>2</sub> belts confined by the substrate. The energy band of the strained ML MoS<sub>2</sub> belt is changed with an up-shift in the conduction band minimum (VBM) and a down-shift in the valence band maximum (CBM), and the band gap is thus enlarged. This results in the energy band structural realignment in the interface of MoS<sub>2</sub>/TiO<sub>2</sub>, thereby weakening the charge transferring from the TiO<sub>2</sub> substrate to MoS<sub>2</sub> and suppressing the concentration of charged excitons to finally enhance the PL intensity of the ML MoS<sub>2</sub> belt. The substrate-confined ML MoS<sub>2</sub> belts provide a new route for tailoring light-matter interactions to upgrade their weak quantum yields and low light absorption, which can be utilized in optoelectronic and nanophotonic devices.</p></div>","PeriodicalId":100007,"journal":{"name":"AAPPS Bulletin","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43673-022-00059-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87482367","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-06DOI: 10.1007/s43673-022-00060-5
Olivier Sigwarth, Christian Miniatura
{"title":"Correction: Time reversal and reciprocity","authors":"Olivier Sigwarth, Christian Miniatura","doi":"10.1007/s43673-022-00060-5","DOIUrl":"10.1007/s43673-022-00060-5","url":null,"abstract":"","PeriodicalId":100007,"journal":{"name":"AAPPS Bulletin","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43673-022-00060-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74251341","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-01DOI: 10.1007/s43673-022-00055-2
Hui Hu, Xing-Can Yao, Xia-Ji Liu
We briefly review the research on second sound in ultracold atomic physics, with emphasis on strongly interacting unitary Fermi gases with infinitely large s-wave scattering length. Second sound is a smoking-gun feature of superfluidity in any quantum superfluids. The observation and characterization of second sound in ultracold quantum gases have been a long-standing challenge, and in recent years, there are rapid developments due to the experimental realization of a uniform box-trap potential. The purpose of this review is to present a brief historical account of the key research activities on second sound over the past two decades. We summarize the initial theoretical works that reveal the characteristics of second sound in a unitary Fermi gas, and introduce its first observation in a highly elongated harmonic trap. We then discuss the most recent measurement on second sound attenuation in a uniform setup, which may open a new era to understand quantum transport near quantum criticality in the strongly interacting regime. The observation of second sound in homogeneous weakly interacting Bose condensates in both two and three dimensions are also briefly introduced.
{"title":"Second sound with ultracold atoms: a brief review","authors":"Hui Hu, Xing-Can Yao, Xia-Ji Liu","doi":"10.1007/s43673-022-00055-2","DOIUrl":"10.1007/s43673-022-00055-2","url":null,"abstract":"<div><p>We briefly review the research on second sound in ultracold atomic physics, with emphasis on strongly interacting unitary Fermi gases with infinitely large <i>s</i>-wave scattering length. Second sound is a smoking-gun feature of superfluidity in any quantum superfluids. The observation and characterization of second sound in ultracold quantum gases have been a long-standing challenge, and in recent years, there are rapid developments due to the experimental realization of a uniform box-trap potential. The purpose of this review is to present a brief historical account of the key research activities on second sound over the past two decades. We summarize the initial theoretical works that reveal the characteristics of second sound in a unitary Fermi gas, and introduce its first observation in a highly elongated harmonic trap. We then discuss the most recent measurement on second sound attenuation in a uniform setup, which may open a new era to understand quantum transport near quantum criticality in the strongly interacting regime. The observation of second sound in homogeneous weakly interacting Bose condensates in both two and three dimensions are also briefly introduced.</p></div>","PeriodicalId":100007,"journal":{"name":"AAPPS Bulletin","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43673-022-00055-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81917564","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-19DOI: 10.1007/s43673-022-00046-3
Satoru Nakatsuji
The performance limitations of conventional electronic materials pose a major problem in the era of digital transformation (DX). Consequently, extensive research is being conducted on the development of quantum materials that may overcome such limitations, by utilizing quantum effects to achieve remarkable performances. In particular, considerable progress has been made on the fundamental theories of topological magnets and has had a widespread impact on related fields of applied research. An important advance in the field of quantum manipulation is the development of the technology to control the quantum phase of conduction electron wavefunctions through the spin structure. This new technology has led to the realization of phenomena that had been considered infeasible for more than a century, such as the anomalous Hall effect in antiferromagnets and the giant magneto-thermoelectric effect in ferromagnets. This review article presents the remarkable properties of Weyl antiferromagnets and topological ferromagnets, which have been discovered recently. Additionally, this paper examines the current status of how advances in the basic principles of topological magnetism are facilitating the development of next-generation technologies that support the DX era, such as energy harvesting, heat flow sensors, and ultrafast nonvolatile memory.
{"title":"Topological magnets—their basic science and potential applications","authors":"Satoru Nakatsuji","doi":"10.1007/s43673-022-00046-3","DOIUrl":"10.1007/s43673-022-00046-3","url":null,"abstract":"<div><p>The performance limitations of conventional electronic materials pose a major problem in the era of digital transformation (DX). Consequently, extensive research is being conducted on the development of quantum materials that may overcome such limitations, by utilizing quantum effects to achieve remarkable performances. In particular, considerable progress has been made on the fundamental theories of topological magnets and has had a widespread impact on related fields of applied research. An important advance in the field of quantum manipulation is the development of the technology to control the quantum phase of conduction electron wavefunctions through the spin structure. This new technology has led to the realization of phenomena that had been considered infeasible for more than a century, such as the anomalous Hall effect in antiferromagnets and the giant magneto-thermoelectric effect in ferromagnets. This review article presents the remarkable properties of Weyl antiferromagnets and topological ferromagnets, which have been discovered recently. Additionally, this paper examines the current status of how advances in the basic principles of topological magnetism are facilitating the development of next-generation technologies that support the DX era, such as energy harvesting, heat flow sensors, and ultrafast nonvolatile memory.</p></div>","PeriodicalId":100007,"journal":{"name":"AAPPS Bulletin","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43673-022-00046-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73049348","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-15DOI: 10.1007/s43673-022-00054-3
Lin Wu, Xue-Ke Song, Liu Ye, Dong Wang
The uncertainty relation is regarded as a remarkable feature of quantum mechanics differing from the classical counterpart, and it plays a backbone role in the region of quantum information theory. In principle, the uncertainty relation offers a nontrivial limit to predict the outcome of arbitrarily incompatible observed variables. Therefore, to pursue a more general uncertainty relations ought to be considerably important for obtaining accurate predictions of multi-observable measurement results in genuine multipartite systems. In this article, we derive a generalized entropic uncertainty relation (EUR) for multi-measurement in a multipartite framework. It is proved that the bound we proposed is stronger than the one derived from Renes et al. in [Phys. Rev. Lett. 103,020402(2009) ] for the arbitrary multipartite case. As an illustration, we take several typical scenarios that confirm that our proposed bound outperforms that presented by Renes et al. Hence, we believe our findings provide generalized uncertainty relations with regard to multi-measurement setting, and facilitate the EUR’s applications on quantum precision measurement regarding genuine multipartite systems.
{"title":"Generalized uncertainty relations for multiple measurements","authors":"Lin Wu, Xue-Ke Song, Liu Ye, Dong Wang","doi":"10.1007/s43673-022-00054-3","DOIUrl":"10.1007/s43673-022-00054-3","url":null,"abstract":"<div><p>The uncertainty relation is regarded as a remarkable feature of quantum mechanics differing from the classical counterpart, and it plays a backbone role in the region of quantum information theory. In principle, the uncertainty relation offers a nontrivial limit to predict the outcome of arbitrarily incompatible observed variables. Therefore, to pursue a more general uncertainty relations ought to be considerably important for obtaining accurate predictions of multi-observable measurement results in genuine multipartite systems. In this article, we derive a generalized entropic uncertainty relation (EUR) for multi-measurement in a multipartite framework. It is proved that the bound we proposed is stronger than the one derived from Renes et al. in [Phys. Rev. Lett. 103,020402(2009) ] for the arbitrary multipartite case. As an illustration, we take several typical scenarios that confirm that our proposed bound outperforms that presented by Renes et al. Hence, we believe our findings provide generalized uncertainty relations with regard to multi-measurement setting, and facilitate the EUR’s applications on quantum precision measurement regarding genuine multipartite systems.</p></div>","PeriodicalId":100007,"journal":{"name":"AAPPS Bulletin","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43673-022-00054-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72845743","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-03DOI: 10.1007/s43673-022-00053-4
Olivier Sigwarth, Christian Miniatura
In this paper, we review and discuss the main properties of the time-reversal operator T and its action in classical electromagnetism and in quantum mechanics. In particular, we discuss the relation (and differences) between time-reversal invariance and reciprocity.
在本文中,我们回顾并讨论了经典电磁学和量子力学中时间反转算子 T 及其作用的主要性质。我们特别讨论了时间反转不变性和互易性之间的关系(和区别)。
{"title":"Time reversal and reciprocity","authors":"Olivier Sigwarth, Christian Miniatura","doi":"10.1007/s43673-022-00053-4","DOIUrl":"10.1007/s43673-022-00053-4","url":null,"abstract":"<div><p>In this paper, we review and discuss the main properties of the time-reversal operator T and its action in classical electromagnetism and in quantum mechanics. In particular, we discuss the relation (and differences) between time-reversal invariance and reciprocity.</p></div>","PeriodicalId":100007,"journal":{"name":"AAPPS Bulletin","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43673-022-00053-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76821521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}