Continuous matrix product states for coupled fields: Application to Luttinger liquids and quantum simulators

Quijandría, Fernando ; García-Ripoll, Juan José ; Zueco Lainez, David (Universidad de Zaragoza)

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)