Quantum simulation of the spin-boson model with a microwave circuit

Leppäkangas, J., Braumüller, J., Hauck, M., Reiner, J.-M., Schwenk, I., Zanker, S., Fritz, L., Ustinov, A. V., Weides, M. and Marthaler, M. (2018) Quantum simulation of the spin-boson model with a microwave circuit. Physical Review A, 97(5), 052321. (doi:10.1103/PhysRevA.97.052321)

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Abstract

We consider superconducting circuits for the purpose of simulating the spin-boson model. The spin-boson model consists of a single two-level system coupled to bosonic modes. In most cases, the model is considered in a limit where the bosonic modes are sufficiently dense to form a continuous spectral bath. A very well known case is the Ohmic bath, where the density of states grows linearly with the frequency. In the limit of weak coupling or large temperature, this problem can be solved numerically. If the coupling is strong, the bosonic modes can become sufficiently excited to make a classical simulation impossible. Here we discuss how a quantum simulation of this problem can be performed by coupling a superconducting qubit to a set of microwave resonators. We demonstrate a possible implementation of a continuous spectral bath with individual bath resonators coupling strongly to the qubit. Applying a microwave drive scheme potentially allows us to access the strong-coupling regime of the spin-boson model. We discuss how the resulting spin relaxation dynamics with different initialization conditions can be probed by standard qubit-readout techniques from circuit quantum electrodynamics.

Item Type:Articles
Additional Information:This work was supported by the European Research Council within consolidator Grant No. 648011 and Helmholtz IVF grant “Scalable solid state quantum computing”. This work was also partially supported by the Ministry of Education and Science of Russian Federation in the framework of Increase Competitiveness Program of the NUST MISIS (Contracts No. K2-2014-025, No. K2-2016-051, and No. K2-2016-063). J.B. acknowledges financial support from the Landesgraduiertenförderung of the federal state Baden-Württemberg and by the Helmholtz International Research School for Teratronics.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Weides, Professor Martin
Authors: Leppäkangas, J., Braumüller, J., Hauck, M., Reiner, J.-M., Schwenk, I., Zanker, S., Fritz, L., Ustinov, A. V., Weides, M., and Marthaler, M.
College/School:College of Science and Engineering > School of Engineering > Electronics and Nanoscale Engineering
Journal Name:Physical Review A
Publisher:American Physical Society
ISSN:2469-9926
ISSN (Online):2469-9934
Published Online:17 May 2018
Copyright Holders:Copyright © 2018 American Physical Society
First Published:First published in Physical Review A 97(5): 052321
Publisher Policy:Reproduced in accordance with the publisher copyright policy
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