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Anisotropic Landau-Lifshitz-Gilbert models of dissipation in qubits

Crowley, PJD; Green, AG; (2016) Anisotropic Landau-Lifshitz-Gilbert models of dissipation in qubits. Physical Review A , 94 , Article 062106. 10.1103/PhysRevA.94.062106. Green open access

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Abstract

We derive a microscopic model for dissipative dynamics in a system of mutually interacting qubits coupled to a thermal bath that generalizes the dissipative model of Landau-Lifshitz-Gilbert to the case of anisotropic bath couplings. We show that the dissipation acts to bias the quantum trajectories towards a reduced phase space. This model applies to a system of superconducting flux qubits whose coupling to the environment is necessarily anisotropic. We study the model in the context of the D-Wave computing device and show that the form of environmental coupling in this case produces dynamics that are closely related to several models proposed on phenomenological grounds.

Type: Article
Title: Anisotropic Landau-Lifshitz-Gilbert models of dissipation in qubits
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevA.94.062106
Publisher version: http://dx.doi.org/10.1103/PhysRevA.94.062106
Language: English
Additional information: Copyright © 2016 American Physical Society.
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > London Centre for Nanotechnology
URI: http://discovery.ucl.ac.uk/id/eprint/1517573
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