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

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)

Creative Commons You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes.


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