Spectrum and coherence properties of the current-mirror qubit

D. K. Weiss; Andy C.Y. Li; D. G. Ferguson; Jens Koch

doi:10.1103/PhysRevB.100.224507

Spectrum and coherence properties of the current-mirror qubit

D. K. Weiss^*, Andy C.Y. Li, D. G. Ferguson, Jens Koch

^*Corresponding author for this work

Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

The current-mirror circuit [A. Kitaev, arXiv:cond-mat/0609441] exhibits a robust ground-state degeneracy and wave functions with disjoint support for appropriate circuit parameters. In this protected regime, Cooper-pair excitons form the relevant low-energy excitations. Based on a full circuit analysis of the current-mirror device, we introduce an effective model that systematically captures the relevant low-energy degrees of freedom and is amenable to diagonalization using density matrix renormalization group (DMRG) methods. We find excellent agreement between DMRG and exact diagonalization, and can push DMRG simulations to much larger circuit sizes than feasible for exact diagonalization. We discuss the spectral properties of the current-mirror circuit and predict coherence times exceeding 1 ms in parameter regimes believed to be within reach of experiments.

Original language	English (US)
Article number	224507
Journal	Physical Review B
Volume	100
Issue number	22
DOIs	https://doi.org/10.1103/PhysRevB.100.224507
State	Published - Dec 10 2019

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1103/PhysRevB.100.224507

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title = "Spectrum and coherence properties of the current-mirror qubit",

abstract = "The current-mirror circuit [A. Kitaev, arXiv:cond-mat/0609441] exhibits a robust ground-state degeneracy and wave functions with disjoint support for appropriate circuit parameters. In this protected regime, Cooper-pair excitons form the relevant low-energy excitations. Based on a full circuit analysis of the current-mirror device, we introduce an effective model that systematically captures the relevant low-energy degrees of freedom and is amenable to diagonalization using density matrix renormalization group (DMRG) methods. We find excellent agreement between DMRG and exact diagonalization, and can push DMRG simulations to much larger circuit sizes than feasible for exact diagonalization. We discuss the spectral properties of the current-mirror circuit and predict coherence times exceeding 1 ms in parameter regimes believed to be within reach of experiments.",

author = "Weiss, {D. K.} and Li, {Andy C.Y.} and Ferguson, {D. G.} and Jens Koch",

note = "Funding Information: The authors thank K. R. Colladay, A. Di Paolo, R. J. Epstein, Z. Huang, W. C. Smith, M. E. Weippert, and X. You for valuable discussions. This research was supported by the Army Research Office under Grant No. W911NF-17-C-0024. D.K.W. was supported in part by an ARO QuaCGR Fellowship. APPENDIX A: Publisher Copyright: {\textcopyright} 2019 American Physical Society.",

year = "2019",

month = dec,

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doi = "10.1103/PhysRevB.100.224507",

language = "English (US)",

volume = "100",

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AU - Weiss, D. K.

AU - Li, Andy C.Y.

AU - Ferguson, D. G.

AU - Koch, Jens

N1 - Funding Information: The authors thank K. R. Colladay, A. Di Paolo, R. J. Epstein, Z. Huang, W. C. Smith, M. E. Weippert, and X. You for valuable discussions. This research was supported by the Army Research Office under Grant No. W911NF-17-C-0024. D.K.W. was supported in part by an ARO QuaCGR Fellowship. APPENDIX A: Publisher Copyright: © 2019 American Physical Society.

PY - 2019/12/10

Y1 - 2019/12/10

N2 - The current-mirror circuit [A. Kitaev, arXiv:cond-mat/0609441] exhibits a robust ground-state degeneracy and wave functions with disjoint support for appropriate circuit parameters. In this protected regime, Cooper-pair excitons form the relevant low-energy excitations. Based on a full circuit analysis of the current-mirror device, we introduce an effective model that systematically captures the relevant low-energy degrees of freedom and is amenable to diagonalization using density matrix renormalization group (DMRG) methods. We find excellent agreement between DMRG and exact diagonalization, and can push DMRG simulations to much larger circuit sizes than feasible for exact diagonalization. We discuss the spectral properties of the current-mirror circuit and predict coherence times exceeding 1 ms in parameter regimes believed to be within reach of experiments.

AB - The current-mirror circuit [A. Kitaev, arXiv:cond-mat/0609441] exhibits a robust ground-state degeneracy and wave functions with disjoint support for appropriate circuit parameters. In this protected regime, Cooper-pair excitons form the relevant low-energy excitations. Based on a full circuit analysis of the current-mirror device, we introduce an effective model that systematically captures the relevant low-energy degrees of freedom and is amenable to diagonalization using density matrix renormalization group (DMRG) methods. We find excellent agreement between DMRG and exact diagonalization, and can push DMRG simulations to much larger circuit sizes than feasible for exact diagonalization. We discuss the spectral properties of the current-mirror circuit and predict coherence times exceeding 1 ms in parameter regimes believed to be within reach of experiments.

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Spectrum and coherence properties of the current-mirror qubit

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