Volume 137, Issue 6

7 August 2026

Browse Issues:

On the Cover

Schematic for improved stellerator design with modular coils surrounding the plasma in magnetic confinement fusion.. Selected for an Editors’ Suggestion.

From the article:

Stellarator Coils for Future Fusion Reactors via an Augmented Lagrangian Approach
Pedro F. Gil, Weiping Li, Julianne Stratton, Alan A. Kaptanoglu, and Eve V. Stenson
Phys. Rev. Lett. 137, 065101 (2026)

HIGHLIGHTED ARTICLES

FEATURED IN PHYSICS

EDITORS' SUGGESTION

Experimental Quantum Voting Using Photonic Greenberger-Horne-Zeilinger States

F. Joseph Marcellino, Mingsong Wu, and Rob Thew

Phys. Rev. Lett. 137, 060802 (2026) - Published 7 August, 2026

Two research teams have run small-scale demonstrations of voting protocols that could ensure election security using the principles of quantum mechanics.

FEATURED IN PHYSICS

EDITORS' SUGGESTION

Experimental Quantum Electronic Voting

Nicolas Laurent-Puig, Matilde Baroni, Federico Centrone, and Eleni Diamanti

Phys. Rev. Lett. 137, 060803 (2026) - Published 7 August, 2026

Two research teams have run small-scale demonstrations of voting protocols that could ensure election security using the principles of quantum mechanics.

FEATURED IN PHYSICS

EDITORS' SUGGESTION

AI-Boosted Rare Event Sampling to Characterize Extreme Weather

Amaury Lancelin, Alexander Wikner, Laurent Dubus, Clément Le Priol, Dorian S. Abbot, Freddy Bouchet, Pedram Hassanzadeh, and Jonathan Weare

Phys. Rev. Lett. 137, 064201 (2026) - Published 5 August, 2026

A new algorithm combines AI weather forecasts with a physics-based climate model to efficiently characterize rare and dangerous weather events.

FEATURED IN PHYSICS

EDITORS' SUGGESTION

Visualization of Elastic Flat Landau Rainbow

Yafeng Chen, Zhihao Lan, Xueyun Wen, and Jie Zhu

Phys. Rev. Lett. 137, 066601 (2026) - Published 3 August, 2026

Two experiments demonstrate a promising platform for trapping, sorting, and directing vibrational energy.

FEATURED IN PHYSICS

EDITORS' SUGGESTION

Capturing Rainbow in On-Chip Phononic Crystals

Riyi Zheng, Weijian Xie, Xinhua Wen, Weiyin Deng, Manzhu Ke, Jiuyang Lu, Xueqin Huang, and Zhengyou Liu

Phys. Rev. Lett. 137, 066602 (2026) - Published 3 August, 2026

Two experiments demonstrate a promising platform for trapping, sorting, and directing vibrational energy.

FEATURED IN PHYSICS

First Measurement of Neutrino Emissions from Spent Nuclear Fuel by the Double Chooz Experiment

T. Abrahão et al. (Double Chooz Collaboration)

Phys. Rev. Lett. 137, 061803 (2026) - Published 4 August, 2026

Spent nuclear fuel and shutdown nuclear reactors emit antineutrinos, which nuclear watchdogs could use for real-time monitoring of plants.

EDITORS' SUGGESTION

Determination of Quark-Gluon-Quark Interference within the Proton

Alexey Vladimirov, Guillermo Portela, and Simone Rodini

Phys. Rev. Lett. 137, 061902 (2026) - Published 3 August, 2026

A proof-of-concept global QCD fit finds the quark-gluon-quark interference comparable in size to polarized quark density contributions, which suggests a more quantum nature of the proton than assumed.

EDITORS' SUGGESTION

High-Efficiency Loading of 2400 Ytterbium Atoms in Optical Tweezer Arrays

Jiawen Zhu, Changfeng Chen, Li Zhou, Xiangru Xie, Chenyang Jiang, Zhuoli Ding, Fan Wu, Fan Yang, Guoqing Wang, Qihuang Gong, Peng Zhang, Sheng Zhang, and Pai Peng

Phys. Rev. Lett. 137, 063201 (2026) - Published 4 August, 2026

Using a technique applicable to other atomic species, the stable loading of 2400 neutral Ytterbium-174 atoms in an optical tweezer array represents the largest alkaline-earth-like atom array to date.

EDITORS' SUGGESTION

Stellarator Coils for Future Fusion Reactors via an Augmented Lagrangian Approach

Pedro F. Gil, Weiping Li, Julianne Stratton, Alan A. Kaptanoglu, and Eve V. Stenson

Phys. Rev. Lett. 137, 065101 (2026) - Published 7 August, 2026

Recasting fusion coil design as a highly nonconvex equality-constrained optimization problem with an augmented Lagrangian method leads to a class of stellarator coils that exhibit enhanced physics performance and meet essential design requirements.

EDITORS' SUGGESTION

Strongly Enhanced Charge-Density Waves and Correlated Insulating State in Atomically Thin $1 T − {TaS}_{2}$

Gan Liu, Yulu Liu, Qiling Luo, Zhentao Huang, Kenji Watanabe, Takashi Taniguchi, Meiyu Wang, Jinsheng Wen, Yi Lu, and Xiaoxiang Xi

Phys. Rev. Lett. 137, 066502 (2026) - Published 5 August, 2026

A combination of Raman spectroscopy and transport measurements shows that approaching the 2D limit markedly enhances the charge density wave order and the associated correlated insulating state in 1 $T$ -TaS $_{2}$ .

EDITORS' SUGGESTION

Quantum Coulomb Liquids of Different Rank in the Breathing Pyrochlore Antiferromagnet

Lasse Gresista, Daniel Lozano-Gómez, Matthias Vojta, Simon Trebst, and Yasir Iqbal

Phys. Rev. Lett. 137, 066504 (2026) - Published 4 August, 2026

A minimal, materials-relevant spin-1/2 model on the breathing pyrochlore lattice, tuned solely by symmetry-allowed Dzyaloshinskii–Moriya interactions, gives robust quantum realizations of both rank-1 and rank-2 U(1) Coulomb liquids.

EDITORS' SUGGESTION

Odd-Parity Altermagnetism through Sublattice Currents: From Haldane-Hubbard Model to General Bipartite Lattices

Yu-Ping Lin and Marc Vila

Phys. Rev. Lett. 137, 066702 (2026) - Published 4 August, 2026

Sublattice currents are a feasible route to odd-parity altermagnetism, where nonrelativistic collinear spin splitting occurs in the bands as an odd function of momentum.

LETTERS

Quantum Information, Science, and Technology

Obstruction to Ergodicity from Locality and $U (1)$ Higher Symmetries on the Lattice

Ramanjit Sohal and Ruben Verresen

Phys. Rev. Lett. 137, 060401 (2026) - Published 3 August, 2026

Tight Bounds on Recurrence Time in Closed Quantum Systems

Marcin Kotowski and Michał Oszmaniec

Phys. Rev. Lett. 137, 060402 (2026) - Published 3 August, 2026

Energy Gap of Quantum Spin Glasses: A Projection Quantum Monte Carlo Study

L. Brodoloni, G. E. Astrakharchik, S. Giorgini, and S. Pilati

Phys. Rev. Lett. 137, 060403 (2026) - Published 3 August, 2026

Origin of Exponential Operator Growth in Hilbert Space

Vijay Ganesh Sadhasivam, Jan M. Rost, and Stuart C. Althorpe

Phys. Rev. Lett. 137, 060404 (2026) - Published 6 August, 2026

Overcoming the Speed-Fidelity Trade-Off in Fast cz Gates via Cyclic Control

Ze-An Zhao, Hai-Feng Zhang, Tian-Le Wang, Xiao-Yan Yang, Peng Wang, Ren-Ze Zhao, Sheng Zhang, Zhi-Fei Li, Yuan Wu, Zi-Hao Fu, Sheng-Ri Liu, Peng Duan, and Guo-Ping Guo

Phys. Rev. Lett. 137, 060601 (2026) - Published 3 August, 2026

Single-Period Floquet Control of Bosonic Codes with Quantum Lattice Gates

Tangyou Huang, Lei Du, and Lingzhen Guo

Phys. Rev. Lett. 137, 060602 (2026) - Published 3 August, 2026

Decoy-State Quantum Key Distribution over 227 km with a Frequency-Converted Telecom Single-Photon Source

Frederik Brooke Barnes, Roberto G. Pousa, Christopher L. Morrison, Zhe Xian Koong, Joseph Ho, Francesco Graffitti, John Jeffers, Daniel K. L. Oi, Brian D. Gerardot, and Alessandro Fedrizzi

Phys. Rev. Lett. 137, 060801 (2026) - Published 3 August, 2026

FEATURED IN PHYSICS

EDITORS' SUGGESTION

Experimental Quantum Voting Using Photonic Greenberger-Horne-Zeilinger States

F. Joseph Marcellino, Mingsong Wu, and Rob Thew

Phys. Rev. Lett. 137, 060802 (2026) - Published 7 August, 2026

Two research teams have run small-scale demonstrations of voting protocols that could ensure election security using the principles of quantum mechanics.

FEATURED IN PHYSICS

EDITORS' SUGGESTION

Experimental Quantum Electronic Voting

Nicolas Laurent-Puig, Matilde Baroni, Federico Centrone, and Eleni Diamanti

Phys. Rev. Lett. 137, 060803 (2026) - Published 7 August, 2026

Two research teams have run small-scale demonstrations of voting protocols that could ensure election security using the principles of quantum mechanics.

Cosmology, Astrophysics, and Gravitation

Limits on Global Cosmic Birefringence Using Radio Sources

Richard A. Battye, Neal Jackson, and Ian Browne

Phys. Rev. Lett. 137, 061001 (2026) - Published 3 August, 2026

Updated Constraints on the Primordial Power Spectrum at Sub-Mpc Scales

Torsten Bringmann, Djuna Croon, and Sergio Sevillano Muñoz

Phys. Rev. Lett. 137, 061002 (2026) - Published 4 August, 2026

Cosmic Variance in Anisotropy Searches at Pulsar Timing Arrays

Valerie Domcke, Gabriele Franciolini, and Mauro Pieroni

Phys. Rev. Lett. 137, 061003 (2026) - Published 6 August, 2026

Small Progenitors, Large Couplings: Type Ic Supernova Constraints on Radiatively Decaying Particles

Francisco R. Candón, Damiano F. G. Fiorillo, Hans-Thomas Janka, Bart F. A. van Baal, and Edoardo Vitagliano

Phys. Rev. Lett. 137, 061004 (2026) - Published 6 August, 2026

Particles and Fields

Correlators Are Simpler than Wave Functions

Nima Arkani-Hamed, Ross Glew, and Francisco Vazão

Phys. Rev. Lett. 137, 061601 (2026) - Published 7 August, 2026

$C P$ Violation Analysis of Local and Nonlocal Amplitudes in the ${\bar{B}}^{0} \to {\bar{K}}^{* 0} μ^{+} μ^{-}$ Decay

R. Aaij et al. (LHCb Collaboration)

Phys. Rev. Lett. 137, 061801 (2026) - Published 3 August, 2026

Search for the Lepton-Flavor Violating Decays $B^{+} \to π^{+} μ^{\pm} e^{\mp}$

R. Aaij et al. (LHCb Collaboration)

Phys. Rev. Lett. 137, 061802 (2026) - Published 4 August, 2026

FEATURED IN PHYSICS

First Measurement of Neutrino Emissions from Spent Nuclear Fuel by the Double Chooz Experiment

T. Abrahão et al. (Double Chooz Collaboration)

Phys. Rev. Lett. 137, 061803 (2026) - Published 4 August, 2026

Spent nuclear fuel and shutdown nuclear reactors emit antineutrinos, which nuclear watchdogs could use for real-time monitoring of plants.

Lattice-QCD Validation of Hadron Mass and Trace-Anomaly Decomposition Sum Rules

Dennis Bollweg, Heng-Tong Ding, Xiang Gao, Ran Luo, and Swagato Mukherjee

Phys. Rev. Lett. 137, 061901 (2026) - Published 7 August, 2026

EDITORS' SUGGESTION

Determination of Quark-Gluon-Quark Interference within the Proton

Alexey Vladimirov, Guillermo Portela, and Simone Rodini

Phys. Rev. Lett. 137, 061902 (2026) - Published 3 August, 2026

Does Hot QCD Have a Conformal Manifold in the Chiral Limit?

Shi Chen, Aleksey Cherman, and Robert D. Pisarski

Phys. Rev. Lett. 137, 061903 (2026) - Published 6 August, 2026

Nuclear Physics

Exploring the Fluid Behavior in $p + p$ Collisions at $\sqrt{s} = 13 TeV$ with Viscous Anisotropic Hydrodynamics

Shujun Zhao, Yiyang Peng, Ulrich Heinz, and Huichao Song

Phys. Rev. Lett. 137, 062301 (2026) - Published 6 August, 2026

Fusion Suppression in Super Heavy Element ${}^{263}{B h}$ Formation via ${}^{54}{Cr} + {}^{209}{Bi}$

Tathagata Banerjee, Emanuele Vardaci, Antonio Di Nitto, Pia A. Setaro, Giuseppe Alifano, Davide Panico, Simona Di Costanzo, Antonio Vanzanella, D. Kumar, W. H. Trzaska, C. Petrone, S. Calinescu, and C. Borcea

Phys. Rev. Lett. 137, 062501 (2026) - Published 4 August, 2026

Mass Measurements of Exotic ${}^{48 - 50}{Ar}$ Isotopes: Probing Proton-Neutron Interaction of the Doubly Magic ${}^{52}{Ca}$ and the Robustness of $N = 32$ Subshell

C. Y. Fu et al.

Phys. Rev. Lett. 137, 062502 (2026) - Published 6 August, 2026

Ab Initio Exact Calculation of Strongly Correlated Nucleonic Matter

R. Z. Hu, S. L. Jin, X. Zhen, H. Y. Shang, J. C. Pei, F. R. Xu, and F. Marino

Phys. Rev. Lett. 137, 062503 (2026) - Published 7 August, 2026

Atomic, Molecular, and Optical Physics

Precision Spectroscopy of the Fine and Hyperfine Structures of High Molecular Rydberg-Stark States: Metrology of Molecular Hydrogen Ions

I. Doran, L. Jeckel, M. Beyer, Ch. Jungen, and F. Merkt

Phys. Rev. Lett. 137, 063001 (2026) - Published 7 August, 2026

EDITORS' SUGGESTION

High-Efficiency Loading of 2400 Ytterbium Atoms in Optical Tweezer Arrays

Jiawen Zhu, Changfeng Chen, Li Zhou, Xiangru Xie, Chenyang Jiang, Zhuoli Ding, Fan Wu, Fan Yang, Guoqing Wang, Qihuang Gong, Peng Zhang, Sheng Zhang, and Pai Peng

Phys. Rev. Lett. 137, 063201 (2026) - Published 4 August, 2026

Using a technique applicable to other atomic species, the stable loading of 2400 neutral Ytterbium-174 atoms in an optical tweezer array represents the largest alkaline-earth-like atom array to date.

Direct Observation of the Optical Magnus Effect with a Trapped Ion

Philip Leindecker, Louis P. H. Gallagher, Edgar Brucke, Dominique Zehnder, Luka Milanovic, Matteo Marinelli, Rene Gerritsma, Robert J. C. Spreeuw, Jonathan Home, and Cornelius Hempel

Phys. Rev. Lett. 137, 063202 (2026) - Published 6 August, 2026

Thermodynamics and Melting of a Quantum Quasicrystal

Ethan C. McGarrigle, Thomas G. Kiely, Leon Balents, and Glenn H. Fredrickson

Phys. Rev. Lett. 137, 063401 (2026) - Published 3 August, 2026

Coherent Control of Three-Level System Using Shaped Free Electrons

Dixuan Wu, Jing Li, Yuhan Jiang, and Yunquan Liu

Phys. Rev. Lett. 137, 063601 (2026) - Published 3 August, 2026

Electronic State-Dependent Conformational Changes in a Rydberg Ion Crystal

Marion Mallweger, Natalia Kuk, Vinay Shankar, Robin Thomm, Harry Parke, Ivo Straka, Weibin Li, Igor Lesanovsky, and Markus Hennrich

Phys. Rev. Lett. 137, 063602 (2026) - Published 6 August, 2026

Physics of Fluids, Earth & Planetary Science, and Climate

Lagrangian Dispersion in Experimental Stratified Turbulence

Maëlys Magnier, Costanza Rodda, Clément Savaro, Pierre Augier, Nathanaël Machicoane, Thomas Valran, Samuel Viboud, and Nicolas Mordant

Phys. Rev. Lett. 137, 064101 (2026) - Published 4 August, 2026

FEATURED IN PHYSICS

EDITORS' SUGGESTION

AI-Boosted Rare Event Sampling to Characterize Extreme Weather

Amaury Lancelin, Alexander Wikner, Laurent Dubus, Clément Le Priol, Dorian S. Abbot, Freddy Bouchet, Pedram Hassanzadeh, and Jonathan Weare

Phys. Rev. Lett. 137, 064201 (2026) - Published 5 August, 2026

A new algorithm combines AI weather forecasts with a physics-based climate model to efficiently characterize rare and dangerous weather events.

Plasma and Solar Physics, Accelerators and Beams

EDITORS' SUGGESTION

Stellarator Coils for Future Fusion Reactors via an Augmented Lagrangian Approach

Pedro F. Gil, Weiping Li, Julianne Stratton, Alan A. Kaptanoglu, and Eve V. Stenson

Phys. Rev. Lett. 137, 065101 (2026) - Published 7 August, 2026

Direct Measurement of Diffusion Coefficients: Evidence for Diffusive Stochastic Heating in Collisionless Plasmas

Tamar Ervin, Trevor A. Bowen, Alfred Mallet, Philip A. Isenberg, Kristopher G. Klein, Stuart D. Bale, Benjamin D. G. Chandran, Roberto Livi, Ali Rahmati, and Davin E. Larson

Phys. Rev. Lett. 137, 065201 (2026) - Published 6 August, 2026

Condensed Matter and Materials

Bilayer Borophenes Establish a New Upper Limit for Elemental Superconducting Transition Temperatures

Meng-hui Wang, Yuewen Mu, Guang-ren Na, Hao-lin Song, and Zhong-hua Cui

Phys. Rev. Lett. 137, 066001 (2026) - Published 4 August, 2026

Pair Breaking and Dimensionality in Spin-Orbit Coupled Superconductors

Reiley Dorrian, Mizuki Ohno, Elena Williams, Adrian Llanos, and Joseph Falson

Phys. Rev. Lett. 137, 066002 (2026) - Published 7 August, 2026

Emergent Electronic Insulating States in a One-Dimensional Moiré Superlattice

Jianfeng Bi, Masaki Minamikawa, Ruige Dong, DongJun Kang, Zihan Weng, Shaoqi Sun, Shuo Jing, Kenji Watanabe, Takashi Taniguchi, Ryosuke Okumura, Huizhen Wu, Naoto Nakatsuji, SeokJae Yoo, Mikito Koshino, and Sihan Zhao

Phys. Rev. Lett. 137, 066201 (2026) - Published 6 August, 2026

Dynamical Orbital Angular Momentum Induced by Circularly Polarized Phonons

Dapeng Yao, Dongwook Go, Yuriy Mokrousov, and Shuichi Murakami

Phys. Rev. Lett. 137, 066301 (2026) - Published 5 August, 2026

Orbital Accumulation Induced by Chiral Phonons

Tetsuya Sato, Takeo Kato, and Aurelien Manchon

Phys. Rev. Lett. 137, 066302 (2026) - Published 5 August, 2026

Demonstration of Self-Balance Mechanism with Bloch Oscillations in Momentum Bandgap Engineering

Danni Chen, Changying Li, Jinze He, Huaiqiang Wang, and Yiming Pan

Phys. Rev. Lett. 137, 066303 (2026) - Published 4 August, 2026

Density-Corrected Density Functional Theory for Solids

Youngsam Kim, Suhwan Song, Mihira Sogal, Kieron Burke, and Eunji Sim

Phys. Rev. Lett. 137, 066401 (2026) - Published 3 August, 2026

Spinon Band Flattening by Its Emergent Gauge Field in a Quantum Kagome Ice

Masafumi Udagawa and Roderich Moessner

Phys. Rev. Lett. 137, 066501 (2026) - Published 3 August, 2026

EDITORS' SUGGESTION

Strongly Enhanced Charge-Density Waves and Correlated Insulating State in Atomically Thin $1 T − {TaS}_{2}$

Gan Liu, Yulu Liu, Qiling Luo, Zhentao Huang, Kenji Watanabe, Takashi Taniguchi, Meiyu Wang, Jinsheng Wen, Yi Lu, and Xiaoxiang Xi

Phys. Rev. Lett. 137, 066502 (2026) - Published 5 August, 2026

Parastatistics in Interacting Periodic Chains Revealed by Peierls Phase Twists and Shifted Conformal Towers

Dirk Schuricht and Jesko Sirker

Phys. Rev. Lett. 137, 066503 (2026) - Published 3 August, 2026

EDITORS' SUGGESTION

Quantum Coulomb Liquids of Different Rank in the Breathing Pyrochlore Antiferromagnet

Lasse Gresista, Daniel Lozano-Gómez, Matthias Vojta, Simon Trebst, and Yasir Iqbal

Phys. Rev. Lett. 137, 066504 (2026) - Published 4 August, 2026

Emergence of Charge- $4 e$ Superconductivity from 2D Nematic Superconductors

Xuan Zou, Zhou-Quan Wan, and Hong Yao

Phys. Rev. Lett. 137, 066505 (2026) - Published 7 August, 2026

FEATURED IN PHYSICS

EDITORS' SUGGESTION

Visualization of Elastic Flat Landau Rainbow

Yafeng Chen, Zhihao Lan, Xueyun Wen, and Jie Zhu

Phys. Rev. Lett. 137, 066601 (2026) - Published 3 August, 2026

Two experiments demonstrate a promising platform for trapping, sorting, and directing vibrational energy.

FEATURED IN PHYSICS

EDITORS' SUGGESTION

Capturing Rainbow in On-Chip Phononic Crystals

Riyi Zheng, Weijian Xie, Xinhua Wen, Weiyin Deng, Manzhu Ke, Jiuyang Lu, Xueqin Huang, and Zhengyou Liu

Phys. Rev. Lett. 137, 066602 (2026) - Published 3 August, 2026

Two experiments demonstrate a promising platform for trapping, sorting, and directing vibrational energy.

Defect-Induced Displacement of Topological Surface State in Quantum Magnet ${MnBi}_{2} {Te}_{4}$

Felix Lüpke, Marek Kolmer, Hengxin Tan, Hao Chang, Adam Kaminski, Binghai Yan, Jiaqiang Yan, Wonhee Ko, and An-Ping Li

Phys. Rev. Lett. 137, 066603 (2026) - Published 6 August, 2026

Composite Bogoliubov Fermi Liquid in a Half-Filled Chern Band

Zhengyan Darius Shi and Pavel A. Nosov

Phys. Rev. Lett. 137, 066604 (2026) - Published 7 August, 2026

Coexistence and Tunability of Orbital and Spin Hall Effects in ${RuO}_{2}$

Lishu Zhang, Mahmoud Zeer, Dongwook Go, Theodoros Adamantopoulos, Peter Schmitz, Stefan Blügel, Chengwang Niu, Yuriy Mokrousov, Shishen Yan, Hyunsoo Yang, and Lei Shen (沈雷)

Phys. Rev. Lett. 137, 066701 (2026) - Published 4 August, 2026

EDITORS' SUGGESTION

Odd-Parity Altermagnetism through Sublattice Currents: From Haldane-Hubbard Model to General Bipartite Lattices

Yu-Ping Lin and Marc Vila

Phys. Rev. Lett. 137, 066702 (2026) - Published 4 August, 2026

Sublattice currents are a feasible route to odd-parity altermagnetism, where nonrelativistic collinear spin splitting occurs in the bands as an odd function of momentum.