Precision quantum simulation of magnon spectra and interactions
Trond I. Andersen, Nikita Astrakhantsev, Jeronimo Martinez, Will Morong, Johannes Motruk, Dario Rossi, Brayden Ware, Bryce Kobrin, Weijie Wu, Elizabeth Bennewitz, Manuel Rudolph, Tom Westerhout, Amira Abbas, Rajeev Acharya, Laleh Aghababaie Beni, Ross Alcaraz, Sayra Alcaraz, Markus Ansmann, Frank Arute, Kunal Arya, Walt Askew, Juan Atalaya, Christopher Ayala, Ryan Babbush, Brian Ballard, Joseph Bardin, Hector Bates, Andreas Bengtsson, Majid Bigdeli Karimi, Alexander Bilmes, Simon Bilodeau, Felix Borjans, Alexandre Bourassa, Jenna Bovaird, Dylan Bowers, Leon Brill, Peter Brooks, Michael Broughton, David Browne, Brett Buchea, Bob Buckley, Tim Burger, Brian Burkett, Jamal Busnaina, Nicholas Bushnell, Jonas Bylander, Anthony Cabrera, Juan Campero, Hung-Shen Chang, Silas Chen, Zijun Chen, Ben Chiaro, Liang-Ying Chih, Agnetta Cleland, Bryan Cochrane, Matt Cockrell, Josh Cogan, Paul Conner, Tom Connolly, Harold Cook, Rodrigo Cortinas, William Courtney, Alexander Crook, Benjamin Curtin, Adam Dally, Sayan Das, Martin Damyanov, Dripto Debroy, Himadri Dey, Stijn de Graaf, Laura De Lorenzo, Sean Demura, Lucia De Rose, Agustin Di Paolo, Leon Ding, Howard Dobbs, Paul Donohoe, Ebru Dogan, Ilya Drozdov, Andrew Dunsworth, Rasmus Edholm, Valerie Ehimhen, Alec Eickbusch, Aviv Elbag, Lior Ella, Mahmoud Elzouka, David Enriquez, Catherine Erickson, Lara Faoro, Vinicius Ferreira, Marcos Flores, Leslie Flores Burgos, Sam Fontes, Ebrahim Forati, Jeremiah Ford, Brooks Foxen, Masaya Fukami, Alan Fung, Lenny Fuste, Suhas Ganjam, Gonzalo Garcia, Christopher Garrick, Robert Gasca, Helge Gehring, Robert Geiger, Élie Genois, William Giang, Dar Gilboa, James Goeders, Edward Gonzales, Raja Gosula, Alejandro Grajales Dau, Dietrich Graumann, Joel Grebel, Alex Greene, Jonathan Gross, Jose Guerrero, Tan Ha., Steve Habegger, Tanner Hadick, Ali Hadjikhani, Michael Hamilton, Monica Hansen, Matthew Harrigan, Sean Harrington, Jeanne Hartshorn, Stephen Heslin, Paula Heu, Oscar Higgott, Reno Hiltermann, Jeremy Hilton, Hsin-Yuan Huang, Michael Hucka, Christopher Hudspeth, Ashley Huff, William Huggins, Aditya Jayaraman, Evan Jeffrey, Shaun Jevons, Zhang Jiang, Xiaoxuan Jin, Cody Jones, Chaitali Joshi, Kelsey Josund, Pavol Juhas, Andreas Kabel, Bharath Kannan, Hui Kang, Kiseo Kang, Amir Karamlou, Ryan Kaufman, Tanuj Khattar, Mostafa Khezri, Seon Kim, Paul Klimov, Can Knaut, Alexander Korotkov, Fedor Kostritsa, John Mark Kreikebaum, Ryuho Kudo, Arun Kumar, Ben Kueffler, Vladislav Kurilovich, Vitali Kutsko, Nathan Lacroix, Tiano Lange-Dei, Brandon Langley, Pavel Laptev, Kim-Ming Lau, Emma Leavell, Loïck Le Guevel, Justin Ledford, Joy Lee, Kenny Lee, Brian Lester, Wendy Leung, Matthew Lloyd, Lily Li, Wing Li, Ming Li, Alexander Lill, Mike Lindmark, William Livingston, Aditya Locharla, Erik Lucero, Daniel Lundahl, Aaron Lunt, Sid Madhuk, Donald Macaskill, Aniket Maiti, Ashley Maloney, Salvatore Mandra, Leigh Martin, Orion Martin, Eric Mascot, Paul Masih Das, Anselme Massimino, Melvin Mathews, Cameron Maxfield, Jarrod McClean, Matthew McEwen, Seneca Meeks, Anthony Megrant, Tim Menke, Kevin Miao, Zlatko Minev, Reza Molavi, Sebastian Molina, Shirin Montazeri, Akira Nakamura, Charles Neill, Konstantin Nesterov, Michael Newman, Roselle Ngaloy, Anthony Nguyen, Murray Nguyen, Chia-Hung Ni, Murphy Niu, Nicholas Noll, Sergey Novikov, Logan Oas, Ricky Oliver, Will Oliver, Raymond Orosco, Kristoffer Ottosson, Alice Pagano, Manan Patel, Sherman Peek, David Peterson, Alex Pizzuto, Thomas Plumb-Reyes, Elias Portoles, Rebecca Potter, Orion Pritchard, Sam Probst, Michael Qian, Chris Quintana, Matthew Rakher, Arpit Ranadive, Ganesh Ramachandran, Armin Razavi, Matthew Reagor, Rachel Resnick, David Rhodes, Daniel Riley, Gabrielle Roberts, Roberto Rodriguez, Emma Ropes, Eliott Rosenberg, Emma Rosenfeld, Dario Rosenstock, Elizabeth Rossi, Pedram Roushan, David Rower, Robert Salazar, Kannan Sankaragomathi, Murat Sarihan, Kevin Satzinger, Max Schaefer, Sebastian Schroeder, Henry Schurkus, Aria Shahingohar, Michael Shearn, Aaron Shorter, Shvarts Vladimir, Vlad Sivak, Spencer Small, W. Clarke Smith, David Sobel, Barrett Spells, Sofia Springer, George Sterling, Scott Stonemeyer, John Su, Jordan Suchard, Youngkyu Sung, Aaron Szasz, Alex Sztein, Tomoyuki Tanaka, Madeline Taylor, Jothi Thiruraman, Douglas Thor, Brandur Thorgrimsson, Dogan Timucin, Eifu Tomita, Alfredo Torres, M. Mert Torunbalci, Hao Tran, Abeer Vaishnav, Justin Vargas, Gopinath Vasalamarri, Sergey Vdovichev, Guifre Vidal, Benjamin Villalonga, Meghan Voorhees, Steven Waltman, Jonathan Waltz, Shannon Wang, Danni Wang, James Watson, Yonghua Wei, Travis Weidel, Theodore White, Kristi Wong, Bryan Woo, Christopher Wood, Maddy Woodson, Cheng Xing, Z. Jamie Yao, Ping Yeh, Bicheng Ying, Juhwan Yoo, Noureldin Yosri, Elliot Young, Grayson Young, Adam Zalcman, Ran Zhang, Yaxing Zhang, Yiqing Zhou, Ningfeng Zhu, Nicholas Zobrist, Zhenjie Zou, Sergio Boixo, Yu Chen, Julian Kelly, Hartmut Neven, Vadim Smelyanskiy, Dvir Kafri, L. B. Ioffe, Kostyantyn Kechedzhi, Xiao Mi, Dmitry Abanin
Quantum simulation promises to advance materials discovery by accurately simulating complex states of matter, their microscopic excitations, and macroscopic response functions. The central challenge in resolving the underlying interacting dynamics is to combine high-fidelity evolution with the sophisticated control necessary to manipulate individual quasi-particles in quantum many-body states. Here, we report on high-precision simulation of both linear and non-linear response functions in a 2D XY spin-1/2 magnet using an analog-digital superconducting processor of up to 97 qubits. By interleaving digital gates with analog evolution precisely characterized via Hamiltonian learning, we selectively excite magnons at tunable energy densities. Measuring first the linear magnon response -- a central probe in neutron-scattering experiments -- we extract temperature-dependent spectra and lifetimes. Our results reveal stark variations in magnon decay rates across the Brillouin zone, with enhancement near van Hove singularities and suppression for edge-localized modes. Next, we perform a suite of nonlinear measurements, including the study of self-scattering mechanisms, as well as pump-probe spectroscopy to directly characterize the magnon interactions. While matrix-product state simulations capture the dynamics well in either small systems or at low temperatures, their predictions become inaccurate away from these limits. This work demonstrates precise simulation of the interacting dynamics in quantum magnets, and provides key insights into quasi-particles and their microscopic scattering mechanisms.
