Rapid mixing and stability of quantum dissipative systems
Change log
Authors
Lucia, Angelo
Cubitt, Toby S
Michalakis, Spyridon
Pérez-García, David
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 model properly 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 xed point. No other condition is required.
Description
This is the author accepted manuscript. The final version is available from APS at http://journals.aps.org/pra/abstract/10.1103/PhysRevA.91.040302.
Keywords
5108 Quantum Physics, 51 Physical Sciences
Journal Title
Physical Review A
Conference Name
Journal ISSN
1050-2947
1094-1622
1094-1622
Volume Title
91
Publisher
American Physical Society (APS)
Publisher DOI
Rights
Sponsorship
T. S. C. is supported by the Royal Society, and was pre-
viously supported by the Juan de la Cierva program of the
Spanish MICIM. A. L. and D. P.-G. acknowledge support
from MINECO (grant MTM2011-26912), Comunidad de
Madrid (grant QUITEMAD+-CM, ref. S2013/ICE-2801)
and the European CHIST-ERA project CQC (funded
partially by MINECO grant 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 support of the
Gordon and Betty Moore Foundation through Grant
#GBMF1250, and AFOSR Grant #FA8750-12-2-0308.
The authors would like to thank the hospitality of the
Centro de Ciencias Pedro Pascual in Benasque, where
part of this work was carried out.