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Título

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

Autor Quijandría, Fernando; García-Ripoll, Juan José ; Zueco, David
Fecha de publicación 23-dic-2014
EditorAmerican Physical Society
Citación Physical Review B 90: 235142 (2014)
ResumenWe 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.
Descripción Under the terms of the Creative Commons Attribution License 3.0 (CC-BY).
Versión del editorhttp://dx.doi.org/10.1103/PhysRevB.90.235142
URI http://hdl.handle.net/10261/112144
DOI10.1103/PhysRevB.90.235142
Identificadoresdoi: 10.1103/PhysRevB.90.235142
issn: 1550-235X
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