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

AuthorsQuijandría, Fernando; García-Ripoll, Juan José ; Zueco, David
Issue Date23-Dec-2014
PublisherAmerican Physical Society
CitationPhysical Review B 90: 235142 (2014)
AbstractWe 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.
DescriptionUnder the terms of the Creative Commons Attribution License 3.0 (CC-BY).
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevB.90.235142
Identifiersdoi: 10.1103/PhysRevB.90.235142
issn: 1550-235X
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