Lucia, Angelo and Cubitt, Toby S. and Michalakis, Spyridon and Pérez-García, David (2015) Rapid mixing and stability of quantum dissipative systems. Physical Review A, 91 (4). Art. No. 040302. ISSN 1050-2947. doi:10.1103/PhysRevA.91.040302. https://resolver.caltech.edu/CaltechAUTHORS:20150501-075446387
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Abstract
The physics of many materials is modeled by quantum many-body systems with local interactions. If the model of the system is sensitive to noise from the environment, or small perturbations to the original interactions, it will not properly model the robustness of the real physical system it aims to describe, or be useful when engineering novel systems for quantum information processing. We show that local observables and correlation functions of local Liouvillians are stable to local perturbations if the dynamics is rapidly mixing and has a unique fixed point. No other condition is required.
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| Additional Information: | © 2015 American Physical Society. Received 1 October 2014; published 9 April 2015. T.S.C. is supported by the Royal Society, and was previously supported by the Juan de la Cierva program of the Spanish MICIM. A.L. and D.P.-G. acknowledge support from MINECO (Grant No. MTM2011-26912), Comunidad de Madrid (Grant No. QUITEMAD+-CM, ref. S2013/ICE-2801), and the European CHIST-ERA project CQC (funded partially by MINECO Grant No. PRI-PIMCHI-2011-1071). A.L. is supported by MINECO FPI fellowship BES-2012-052404. S.M. acknowledges funding provided by IQIM, an NSF Physics Frontiers Center with the support of the Gordon and Betty Moore Foundation through Grant No. GBMF1250, and AFOSR Grant No. FA8750-12-2-0308. The authors are thankful for the hospitality of the Centro de Ciencias Pedro Pascual in Benasque, where part of this work was carried out. | ||||||||||||||||||||||||
| Group: | Institute for Quantum Information and Matter | ||||||||||||||||||||||||
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| Issue or Number: | 4 | ||||||||||||||||||||||||
| Classification Code: | PACS: 03.67.−a, 03.65.Yz | ||||||||||||||||||||||||
| DOI: | 10.1103/PhysRevA.91.040302 | ||||||||||||||||||||||||
| Record Number: | CaltechAUTHORS:20150501-075446387 | ||||||||||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20150501-075446387 | ||||||||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||||||
| ID Code: | 57130 | ||||||||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||||||||||||
| Deposited On: | 01 May 2015 15:48 | ||||||||||||||||||||||||
| Last Modified: | 10 Nov 2021 21:08 |
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