Observation of separated dynamics of charge and spin in the Fermi-Hubbard model
Abstract
Strongly correlated quantum systems give rise to many exotic physical phenomena, including high-temperature superconductivity. Simulating these systems on quantum computers may avoid the prohibitively high computational cost incurred in classical approaches. However, systematic errors and decoherence effects presented in current quantum devices make it difficult to achieve this. Here, we simulate the dynamics of the one-dimensional Fermi-Hubbard model using 16 qubits on a digital superconducting quantum processor. We observe separations in the spreading velocities of charge and spin densities in the highly excited regime, a regime that is beyond the conventional quasiparticle picture. To minimize systematic errors, we introduce an accurate gate calibration procedure that is fast enough to capture temporal drifts of the gate parameters. We also employ a sequence of error-mitigation techniques to reduce decoherence effects and residual systematic errors. These procedures allow us to simulate the time evolution of the model faithfully despite having over 600 two-qubit gates in our circuits. Our experiment charts a path to practical quantum simulation of strongly correlated phenomena using available quantum devices.
Keywords
Cite
@article{arxiv.2010.07965,
title = {Observation of separated dynamics of charge and spin in the Fermi-Hubbard model},
author = {Frank Arute and Kunal Arya and Ryan Babbush and Dave Bacon and Joseph C. Bardin and Rami Barends and Andreas Bengtsson and Sergio Boixo and Michael Broughton and Bob B. Buckley and David A. Buell and Brian Burkett and Nicholas Bushnell and Yu Chen and Zijun Chen and Yu-An Chen and Ben Chiaro and Roberto Collins and Stephen J. Cotton and William Courtney and Sean Demura and Alan Derk and Andrew Dunsworth and Daniel Eppens and Thomas Eckl and Catherine Erickson and Edward Farhi and Austin Fowler and Brooks Foxen and Craig Gidney and Marissa Giustina and Rob Graff and Jonathan A. Gross and Steve Habegger and Matthew P. Harrigan and Alan Ho and Sabrina Hong and Trent Huang and William Huggins and Lev B. Ioffe and Sergei V. Isakov and Evan Jeffrey and Zhang Jiang and Cody Jones and Dvir Kafri and Kostyantyn Kechedzhi and Julian Kelly and Seon Kim and Paul V. Klimov and Alexander N. Korotkov and Fedor Kostritsa and David Landhuis and Pavel Laptev and Mike Lindmark and Erik Lucero and Michael Marthaler and Orion Martin and John M. Martinis and Anika Marusczyk and Sam McArdle and Jarrod R. McClean and Trevor McCourt and Matt McEwen and Anthony Megrant and Carlos Mejuto-Zaera and Xiao Mi and Masoud Mohseni and Wojciech Mruczkiewicz and Josh Mutus and Ofer Naaman and Matthew Neeley and Charles Neill and Hartmut Neven and Michael Newman and Murphy Yuezhen Niu and Thomas E. O'Brien and Eric Ostby and Bálint Pató and Andre Petukhov and Harald Putterman and Chris Quintana and Jan-Michael Reiner and Pedram Roushan and Nicholas C. Rubin and Daniel Sank and Kevin J. Satzinger and Vadim Smelyanskiy and Doug Strain and Kevin J. Sung and Peter Schmitteckert and Marco Szalay and Norm M. Tubman and Amit Vainsencher and Theodore White and Nicolas Vogt and Z. Jamie Yao and Ping Yeh and Adam Zalcman and Sebastian Zanker},
journal= {arXiv preprint arXiv:2010.07965},
year = {2020}
}
Comments
20 pages, 15 figures