Resumen: We present a way of constructing continuous matrix product states (cMPS) for coupled fields. The cMPS is a variational ansatz for the ground state of quantum field theories in one dimension. Our proposed scheme is based on a physical interpretation in which the cMPS class can be produced by means of a dissipative dynamic of a system interacting with a bath. We study the case of coupled bosonic fields. We test the method with previous DMRG results in coupled Lieb-Liniger models. Besides, we discuss a novel application for characterizing the Luttinger liquid theory emerging in the low-energy regime of these theories. Finally, we propose a circuit QED architecture as a quantum simulator for coupled fields. Idioma: Inglés DOI: 10.1103/PhysRevB.90.235142 Año: 2014 Publicado en: Physical review B 90, 23 (2014), 235142 [9 pp] ISSN: 1098-0121 Factor impacto JCR: 3.736 (2014) Categ. JCR: PHYSICS, CONDENSED MATTER rank: 14 / 66 = 0.212 (2014) - Q1 - T1 Financiación: info:eu-repo/grantAgreement/ES/DGA/FENOL-GROUP Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2011-25167 Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2012-33022 Tipo y forma: Article (Published version) Área (Departamento): Física de la Materia Condensada (Departamento de Física de la Materia Condensada)