Observation of Time-Crystalline Eigenstate Order on a Quantum Processor
- URL: http://arxiv.org/abs/2107.13571v2
- Date: Wed, 11 Aug 2021 17:19:14 GMT
- Title: Observation of Time-Crystalline Eigenstate Order on a Quantum Processor
- Authors: Xiao Mi, Matteo Ippoliti, Chris Quintana, Ami Greene, Zijun Chen,
Jonathan Gross, Frank Arute, Kunal Arya, Juan Atalaya, Ryan Babbush, Joseph
C. Bardin, Joao Basso, Andreas Bengtsson, Alexander Bilmes, Alexandre
Bourassa, Leon Brill, Michael Broughton, Bob B. Buckley, David A. Buell,
Brian Burkett, Nicholas Bushnell, Benjamin Chiaro, Roberto Collins, William
Courtney, Dripto Debroy, Sean Demura, Alan R. Derk, Andrew Dunsworth, Daniel
Eppens, Catherine Erickson, Edward Farhi, Austin G. Fowler, Brooks Foxen,
Craig Gidney, Marissa Giustina, Matthew P. Harrigan, Sean D. Harrington,
Jeremy Hilton, Alan Ho, Sabrina Hong, Trent Huang, Ashley Huff, William J.
Huggins, L. B. Ioffe, Sergei V. Isakov, Justin Iveland, Evan Jeffrey, Zhang
Jiang, Cody Jones, Dvir Kafri, Tanuj Khattar, Seon Kim, Alexei Kitaev, Paul
V. Klimov, Alexander N. Korotkov, Fedor Kostritsa, David Landhuis, Pavel
Laptev, Joonho Lee, Kenny Lee, Aditya Locharla, Erik Lucero, Orion Martin,
Jarrod R. McClean, Trevor McCourt, Matt McEwen, Kevin C. Miao, Masoud
Mohseni, Shirin Montazeri, Wojciech Mruczkiewicz, Ofer Naaman, Matthew
Neeley, Charles Neill, Michael Newman, Murphy Yuezhen Niu, Thomas E. O\'
Brien, Alex Opremcak, Eric Ostby, Balint Pato, Andre Petukhov, Nicholas C.
Rubin, Daniel Sank, Kevin J. Satzinger, Vladimir Shvarts, Yuan Su, Doug
Strain, Marco Szalay, Matthew D. Trevithick, Benjamin Villalonga, Theodore
White, Z. Jamie Yao, Ping Yeh, Juhwan Yoo, Adam Zalcman, Hartmut Neven,
Sergio Boixo, Vadim Smelyanskiy, Anthony Megrant, Julian Kelly, Yu Chen, S.
L. Sondhi, Roderich Moessner, Kostyantyn Kechedzhi, Vedika Khemani, Pedram
Roushan
- Abstract summary: Quantum-body systems display rich phase structure in their low-temperature equilibrium states.
We experimentally observe an eigenstate-ordered DTC on superconducting qubits.
Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
- Score: 80.17270167652622
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum many-body systems display rich phase structure in their
low-temperature equilibrium states. However, much of nature is not in thermal
equilibrium. Remarkably, it was recently predicted that out-of-equilibrium
systems can exhibit novel dynamical phases that may otherwise be forbidden by
equilibrium thermodynamics, a paradigmatic example being the discrete time
crystal (DTC). Concretely, dynamical phases can be defined in periodically
driven many-body localized systems via the concept of eigenstate order. In
eigenstate-ordered phases, the entire many-body spectrum exhibits quantum
correlations and long-range order, with characteristic signatures in late-time
dynamics from all initial states. It is, however, challenging to experimentally
distinguish such stable phases from transient phenomena, wherein few select
states can mask typical behavior. Here we implement a continuous family of
tunable CPHASE gates on an array of superconducting qubits to experimentally
observe an eigenstate-ordered DTC. We demonstrate the characteristic
spatiotemporal response of a DTC for generic initial states. Our work employs a
time-reversal protocol that discriminates external decoherence from intrinsic
thermalization, and leverages quantum typicality to circumvent the exponential
cost of densely sampling the eigenspectrum. In addition, we locate the phase
transition out of the DTC with an experimental finite-size analysis. These
results establish a scalable approach to study non-equilibrium phases of matter
on current quantum processors.
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