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Title: | Continuous matrix product states for coupled fields: Application to Luttinger liquids and quantum simulators |
Authors: | Quijandría, Fernando; García-Ripoll, Juan José ![]() |
Issue Date: | 23-Dec-2014 |
Publisher: | American Physical Society |
Citation: | Physical Review B 90: 235142 (2014) |
Abstract: | 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. |
Description: | Under the terms of the Creative Commons Attribution License 3.0 (CC-BY). |
Publisher version (URL): | http://dx.doi.org/10.1103/PhysRevB.90.235142 |
URI: | http://hdl.handle.net/10261/112144 |
DOI: | http://dx.doi.org/10.1103/PhysRevB.90.235142 |
Identifiers: | doi: 10.1103/PhysRevB.90.235142 issn: 1550-235X |
Appears in Collections: | (CFMAC-IFF) Artículos (ICMA) Artículos |
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