This is the latest version of this eprint.
Hudomal, A., Smith, R., Hallam, A. et al. (1 more author) (2024) Integrability breaking and bound states in Google's decorated XXZ circuits. Physical Review X Quantum, 5 (1). 010316. ISSN 2691-3399
Abstract
Recent quantum simulation by Google [Nature 612, 240 (2022)] has demonstrated the formation of bound states of interacting photons in a quantum-circuit version of the XXZ spin chain. While such bound states are protected by integrability in a one-dimensional chain, the experiment found the bound states to be unexpectedly robust when integrability was broken by decorating the circuit with additional qubits, at least for small numbers of qubits ( ≤ 24 ) within the experimental capability. Here we scrutinize this result by state-of-the-art classical simulations, which greatly exceed the experimental system sizes and provide a benchmark for future studies in larger circuits. We find that the bound states consisting of a finite number of photons are indeed robust in the nonintegrable regime, even after scaling to the infinite-time and infinite-system size limit. Moreover, we show that such systems possess unusual spectral properties, with level statistics that deviates from the random matrix theory expectation. On the other hand, for low but finite density of photons, we find a much faster onset of thermalization and significantly weaker signatures of bound states, suggesting that anomalous dynamics may only be a property of dilute systems with zero density of photons in the thermodynamic limit. The robustness of the bound states is also influenced by the number of decoration qubits and, to a lesser degree, by the regularity of their spatial arrangement.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) > Theoretical Physics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 30 Jan 2024 14:42 |
Last Modified: | 21 Jun 2024 12:29 |
Published Version: | https://journals.aps.org/prxquantum/abstract/10.11... |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PRXQuantum.5.010316 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:206871 |
Available Versions of this Item
-
Integrability breaking and bound states in Google's decorated XXZ circuits. (deposited 21 Jun 2024 12:27)
- Integrability breaking and bound states in Google's decorated XXZ circuits. (deposited 30 Jan 2024 14:42) [Currently Displayed]
Download
Filename: Integrability Breaking and Bound States in Google’s Decorated XXZ Circuits.pdf
Licence: CC-BY 4.0