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Title: Circuit quantization in the presence of time-dependent external flux

Abstract

Circuit quantization links a physical circuit to its corresponding quantum Hamiltonian. The standard quantization procedure generally assumes any external magnetic flux to be static. Time dependence naturally arises, however, when flux is modulated or when flux noise is considered. In this case, application of the existing quantization procedure can lead to inconsistencies. To resolve these, we generalize circuit quantization to incorporate time-dependent external flux.

Authors:
 [1];  [2];  [2]
  1. Northwestern Univ., Evanston, IL (United States). Center for Applied Physics and Superconducting Technologies
  2. Northwestern Univ., Evanston, IL (United States). Center for Applied Physics and Superconducting Technologies, and Dept. of Physics and Astronomy
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1542963
Report Number(s):
FERMILAB-PUB-19-267-TD
Journal ID: ISSN 2469-9950; PRBMDO; 1736455
Grant/Contract Number:  
AC02-07CH11359
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 17; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

You, Xinyuan, Sauls, J. A., and Koch, Jens. Circuit quantization in the presence of time-dependent external flux. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.99.174512.
You, Xinyuan, Sauls, J. A., & Koch, Jens. Circuit quantization in the presence of time-dependent external flux. United States. doi:10.1103/PhysRevB.99.174512.
You, Xinyuan, Sauls, J. A., and Koch, Jens. Tue . "Circuit quantization in the presence of time-dependent external flux". United States. doi:10.1103/PhysRevB.99.174512.
@article{osti_1542963,
title = {Circuit quantization in the presence of time-dependent external flux},
author = {You, Xinyuan and Sauls, J. A. and Koch, Jens},
abstractNote = {Circuit quantization links a physical circuit to its corresponding quantum Hamiltonian. The standard quantization procedure generally assumes any external magnetic flux to be static. Time dependence naturally arises, however, when flux is modulated or when flux noise is considered. In this case, application of the existing quantization procedure can lead to inconsistencies. To resolve these, we generalize circuit quantization to incorporate time-dependent external flux.},
doi = {10.1103/PhysRevB.99.174512},
journal = {Physical Review B},
number = 17,
volume = 99,
place = {United States},
year = {2019},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on May 21, 2020
Publisher's Version of Record

Citation Metrics:
Cited by: 1 work
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Figures / Tables:

FIG. 1 FIG. 1: (a) Asymmetric SQUID formed by two Josephson junctions. Φl and Φr are branch flux variables for the left and right junction. The node flux $\phi$ is associated with the upper node, while the lower node is chosen to be the ground node. An external flux Φe threads themore » loop. (b) and (c) depict the two equivalent choices of spanning trees (solid lines) and closure branches (dashed lines).« less

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    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.