Rapid mixing and stability of quantum dissipative systems

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...

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Detalles Bibliográficos
Autores: Lucia, Angelo, Cubitt, Toby S., Michalakis, Spyridon, Pérez García, David
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/33742
Acceso en línea:https://hdl.handle.net/20.500.14352/33742
Access Level:acceso abierto
Palabra clave:530.145
Teoría de los quanta
2210.23 Teoría Cuántica
Descripción
Sumario: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 fixed point. No other condition is required.