Chuankun Huang, Martin Mootz, Liang Luo, Ilias E. Perakis, Jigang Wang
{"title":"Terahertz 2D coherent spectroscopy for probing and controlling multicorrelations in quantum matter","authors":"Chuankun Huang, Martin Mootz, Liang Luo, Ilias E. Perakis, Jigang Wang","doi":"10.1038/s42254-025-00917-2","DOIUrl":"10.1038/s42254-025-00917-2","url":null,"abstract":"Terahertz 2D coherent spectroscopy (THz-2DCS) is an emerging technique that brings multidimensional resolution to the ultrafast spectral–temporal dynamics of non-equilibrium quantum phases of matter, enabling new capabilities for precise coherent control in many-body dynamics and multiorder correlations. By mapping and disentangling complex excitation and detection pathways across distinct time and frequency dimensions, THz-2DCS provides a form of coherence tomography of light-induced quantum matter — revealing multiquantum coherences, separating nonlinear response functions and capturing collective modes and quantum kinetics on ultrafast THz timescales. This Perspective discusses the technical capabilities of THz-2DCS, provides a comparison to other multidimensional and coherent transient spectroscopies and looks ahead towards opportunities for advancing THz-2DCS instrumentation and experimental strategies towards new frontier discoveries. Terahertz 2D coherent spectroscopy can be used to probe phase-resolved, multidimensional spectra of quantum materials. This Perspective discusses the capabilities of this method and provides a comparison with other multidimensional spectroscopies.","PeriodicalId":19024,"journal":{"name":"Nature Reviews Physics","volume":"8 3","pages":"171-185"},"PeriodicalIF":39.5,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147383193","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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}
{"title":"Simulating topological order on quantum processors","authors":"Adam Gammon-Smith, Michael Knap, Frank Pollmann","doi":"10.1038/s42254-025-00911-8","DOIUrl":"10.1038/s42254-025-00911-8","url":null,"abstract":"It is an ongoing quest to realize topologically ordered quantum states on different platforms including condensed matter systems, quantum simulators and digital quantum processors. Unlike conventional states characterized by their local order, these exotic states are characterized by their non-local entanglement. The consequences of topological order can be as profound as they are surprising, ranging from the emergence of fractionalized anyonic excitations to potentially providing a scalable platform for quantum error correction. This deep connection to quantum computing naturally motivates the realization and study of topologically ordered quantum states on quantum processors. However, owing to the non-local nature of these states, their study presents a challenge for near-term quantum devices. This Perspective aims to review the recent progress towards the experimental realization of topologically ordered quantum states, their potential applications and promising directions of future research. Topological phases in quantum many-body systems emerge from long-range entanglement rather than symmetry breaking, giving rise to properties such as topology-dependent degeneracy, protected edge modes and anyonic excitations. This Review discusses recent advances on how to realize and study such interacting topological states on digital quantum computers.","PeriodicalId":19024,"journal":{"name":"Nature Reviews Physics","volume":"8 3","pages":"160-170"},"PeriodicalIF":39.5,"publicationDate":"2026-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147383192","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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}
{"title":"The Yang–Mills Millennium problem","authors":"Michael R. Douglas","doi":"10.1038/s42254-025-00909-2","DOIUrl":"10.1038/s42254-025-00909-2","url":null,"abstract":"The Yang–Mills Millennium Prize problem is one of the great challenges of mathematical physics. In the quarter century since it was set, what progress has been made? This Review outlines the problem from a physics point of view, gives its physical background, explains its nature and significance as a problem in mathematics and surveys promising approaches from recent years. Yang–Mills theory is the basis of the standard model of particle physics. The Yang–Mills Millennium Prize problem, to show that the theory is mathematically well defined and that it has the mass gap property, is one of the great challenges of mathematical physics. This Review explores the problem from both physical and mathematical points of view and surveys promising approaches from recent years.","PeriodicalId":19024,"journal":{"name":"Nature Reviews Physics","volume":"8 2","pages":"86-97"},"PeriodicalIF":39.5,"publicationDate":"2026-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146148367","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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}
Dario Ferraro, Fabio Cavaliere, Marco G. Genoni, Giuliano Benenti, Maura Sassetti
{"title":"Opportunities and challenges of quantum batteries","authors":"Dario Ferraro, Fabio Cavaliere, Marco G. Genoni, Giuliano Benenti, Maura Sassetti","doi":"10.1038/s42254-025-00906-5","DOIUrl":"10.1038/s42254-025-00906-5","url":null,"abstract":"Quantum batteries harness the principles of quantum mechanics to transfer, store and release energy within quantum systems on demand. Emerging from foundational research at the intersection of quantum physics, thermodynamics and information theory, the field of quantum batteries introduces new principles for energy manipulation rooted in quantum mechanics. This rapidly expanding field of research spans foundational studies on the thermodynamic limits of battery performance and the potential for quantum advantage, alongside the development of theoretical models and the design of innovative architectures for experimental proof-of-principle demonstrations. In this Perspective, we aim to introduce the core concepts, survey the current theoretical and experimental landscape, and highlight opportunities and challenges in the pursuit of more efficient and scalable quantum energy storage devices. Quantum batteries are miniaturized energy storage devices that exploit the laws of quantum mechanics. This Perspective highlights major theoretical and experimental advances, promising directions and key challenges in this emerging field.","PeriodicalId":19024,"journal":{"name":"Nature Reviews Physics","volume":"8 2","pages":"115-127"},"PeriodicalIF":39.5,"publicationDate":"2026-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146148368","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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}
{"title":"Let’s talk about limitations","authors":"","doi":"10.1038/s42254-025-00913-6","DOIUrl":"10.1038/s42254-025-00913-6","url":null,"abstract":"Review articles often celebrate the wins of a research field, but they can also play a crucial role in highlighting limitations to bring realistic opportunities into focus.","PeriodicalId":19024,"journal":{"name":"Nature Reviews Physics","volume":"8 1","pages":"1-1"},"PeriodicalIF":39.5,"publicationDate":"2026-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.nature.comhttps://www.nature.com/articles/s42254-025-00913-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145916064","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Inside the International Asteroid Warning Network","authors":"May Chiao","doi":"10.1038/s42254-025-00912-7","DOIUrl":"10.1038/s42254-025-00912-7","url":null,"abstract":"Kelly Fast, Acting Planetary Defense Officer for NASA, describes the global network working to detect and assess asteroids that could potentially threaten Earth.","PeriodicalId":19024,"journal":{"name":"Nature Reviews Physics","volume":"8 2","pages":"66-67"},"PeriodicalIF":39.5,"publicationDate":"2026-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146148335","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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}
J. Albrecht, J. Becker Tjus, N. Behling, J. Blazek, M. Bleicher, J. Boelhauve, L. Cazon, R. Conceição, H. Dembinski, L. Dietrich, J. Ebr, J. Ellbracht, R. Engel, A. Fedynitch, M. Fieg, M. V. Garzelli, C. Gaudu, G. Graziani, P. Gutjahr, A. Haungs, T. Huege, K. Hymon, M. Hünnefeld, K.-H. Kampert, L. Kardum, L. Kolk, N. Korneeva, K. Kröninger, A. Maire, H. Menjo, L. Morejon, S. Ostapchenko, P. Paakkinen, T. Pierog, P. Plotko, A. Prosekin, L. Pyras, T. Pöschl, J. Rautenberg, M. Reininghaus, W. Rhode, F. Riehn, M. Roth, A. Sandrock, I. Sarcevic, M. Schmelling, G. Sigl, T. Sjöstrand, D. Soldin, M. Unger, M. Utheim, J. Vícha, K. Werner, M. E. Windau, V. Zhukov
{"title":"Global tuning of hadronic interaction models with accelerator-based and astroparticle data","authors":"J. Albrecht, J. Becker Tjus, N. Behling, J. Blazek, M. Bleicher, J. Boelhauve, L. Cazon, R. Conceição, H. Dembinski, L. Dietrich, J. Ebr, J. Ellbracht, R. Engel, A. Fedynitch, M. Fieg, M. V. Garzelli, C. Gaudu, G. Graziani, P. Gutjahr, A. Haungs, T. Huege, K. Hymon, M. Hünnefeld, K.-H. Kampert, L. Kardum, L. Kolk, N. Korneeva, K. Kröninger, A. Maire, H. Menjo, L. Morejon, S. Ostapchenko, P. Paakkinen, T. Pierog, P. Plotko, A. Prosekin, L. Pyras, T. Pöschl, J. Rautenberg, M. Reininghaus, W. Rhode, F. Riehn, M. Roth, A. Sandrock, I. Sarcevic, M. Schmelling, G. Sigl, T. Sjöstrand, D. Soldin, M. Unger, M. Utheim, J. Vícha, K. Werner, M. E. Windau, V. Zhukov","doi":"10.1038/s42254-025-00897-3","DOIUrl":"10.1038/s42254-025-00897-3","url":null,"abstract":"In high-energy and astroparticle physics, event generators have an essential role, even in the simplest data analyses. Physical processes occurring in hadronic collisions are simulated within a Monte Carlo framework but a major challenge remains modelling of hadron dynamics at low momentum transfer, which includes the initial and final phases of every hadronic collision. Phenomenological models inspired by quantum chromodynamics used for these phases cannot guarantee completeness or correctness over the full phase space. These models usually include parameters which must be tuned to suitable experimental data. Until now, event generators have primarily been developed and tuned based on data from high-energy physics experiments at accelerators. However, in many cases, they have been found to not satisfactorily describe data from astroparticle experiments, which provide sensitivity especially to hadrons produced nearly parallel to the collision axis and cover centre-of-mass energies up to several hundred tera-electronvolts, well beyond those reached at colliders so far. Here, we address the complementarity of these two sets of data and present a roadmap for a unified tuning of event generators with accelerator-based and astroparticle data. Event generators are used to simulate and describe hadronic collisions in accelerator experiments, but often struggle to describe data from astroparticle experiments that probe hadronic collisions at extreme energies. This Review highlights the complementarity between accelerator and astroparticle experiments that can be exploited, to gain new insights into the nature of hadronic collisions and increase model accuracy across both domains.","PeriodicalId":19024,"journal":{"name":"Nature Reviews Physics","volume":"8 2","pages":"98-114"},"PeriodicalIF":39.5,"publicationDate":"2025-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146148370","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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}
Josephine Hunout, Shey Dylan Lovett, Jessica Wade, Isabella von Holstein
{"title":"Quantum training in the UK needs better visibility","authors":"Josephine Hunout, Shey Dylan Lovett, Jessica Wade, Isabella von Holstein","doi":"10.1038/s42254-025-00908-3","DOIUrl":"10.1038/s42254-025-00908-3","url":null,"abstract":"Quantum education in the UK is fragmented and poorly advertised. Raising awareness of available training and career pathways will expand and strengthen the quantum workforce and is essential to meeting national quantum ambitions.","PeriodicalId":19024,"journal":{"name":"Nature Reviews Physics","volume":"8 1","pages":"2-4"},"PeriodicalIF":39.5,"publicationDate":"2025-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145916059","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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}