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Kinetically Constrained Quantum Dynamics in Superconducting Circuits

Valencia-Tortora, Riccardo J. and Pancotti, Nicola and Marino, Jamir (2022) Kinetically Constrained Quantum Dynamics in Superconducting Circuits. PRX Quantum, 3 (2). Art. No. 020346. ISSN 2691-3399. doi:10.1103/prxquantum.3.020346.

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We study the dynamical properties of the bosonic quantum East model at low temperature. We show that a naive generalization of the corresponding spin-1/2 quantum East model does not possess analogous slow dynamical properties. In particular, conversely to the spin case, the bosonic ground state turns out to be not localized. We restore localization by introducing a repulsive interaction term. The bosonic nature of the model allows us to construct rich families of many-body localized states, including coherent, squeezed, and cat states. We formalize this finding by introducing a set of superbosonic creation-annihilation operators that satisfy the bosonic commutation relations and, when acting on the vacuum, create excitations that are exponentially localized around a certain site of the lattice. Given the constrained nature of the model, these states retain memory of their initial conditions for long times. Even in the presence of dissipation, we show that quantum information remains localized within decoherence times that are tunable with the parameters of the system. We propose an implementation of the bosonic quantum East model based on state-of-the-art superconducting circuits, which could be used in the near future to explore the dynamical properties of kinetically constrained models in modern platforms.

Item Type:Article
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URLURL TypeDescription Paper
Valencia-Tortora, Riccardo J.0000-0002-2344-2202
Pancotti, Nicola0000-0001-5223-0893
Marino, Jamir0000-0003-2585-2886
Additional Information:© 2022 The Author(s). 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. (Received 17 December 2021; accepted 5 May 2022; published 2 June 2022) We are indebted to S. M. Girvin for careful proof-reading of the manuscript and for providing valuable comments. We thank Mari Carmen Bañuls and Juan P. Garrahan for insightful discussions. This project has been supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the Project ID 429529648—TRR 306 QuCoLiMa (“Quantum Cooperativity of Light and Matter”), and the grant HADEQUAM- MA7003/3-1; and by the Dynamics and Topology Center, funded by the State of Rhineland Palatinate. Parts of this research were conducted using the Mogon supercomputer and/or advisory services offered by Johannes Gutenberg University Mainz [112], which is a member of the Alliance for High Performance Computing in Rhineland Palatinate (AHRP [113]), and the Gauss Alliance e.V. We gratefully acknowledge the computing time granted on the Mogon supercomputer at Johannes Gutenberg University Mainz [112] through the project “DysQCorr.”
Group:AWS Center for Quantum Computing
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft (DFG)429529648
Deutsche Forschungsgemeinschaft (DFG)MA7003/3-1
State of Rhineland PalatinateUNSPECIFIED
Issue or Number:2
Record Number:CaltechAUTHORS:20220608-849397000
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:115081
Deposited By: George Porter
Deposited On:14 Jun 2022 16:18
Last Modified:25 Jul 2022 23:14

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