2024-03-28T22:49:44Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/1121442021-06-07T12:20:19Zcom_10261_14181com_10261_4com_10261_31com_10261_3col_10261_14182col_10261_284
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Quijandría, Fernando
author
García-Ripoll, Juan José
author
Zueco, David
author
2014-12-23
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.
Physical Review B 90: 235142 (2014)
http://hdl.handle.net/10261/112144
10.1103/PhysRevB.90.235142
http://dx.doi.org/10.13039/501100000780
http://dx.doi.org/10.13039/501100007273
http://dx.doi.org/10.13039/501100008737
Continuous matrix product states for coupled fields: Application to Luttinger liquids and quantum simulators