Generalized rotating-wave approximation to biased qubit-oscillator systems
The generalized rotating-wave approximation with counter-rotating interactions has been applied to a biased qubit-oscillator system. Analytical expressions are explicitly given for all eigenvalues and eigenstates. For a flux qubit coupled to superconducting oscillators, spectra calculated by our a...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/96547 http://hdl.handle.net/10220/9919 |
| _version_ | 1811676579517956096 |
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| author | Zhang, Yuyu Chen, Qing-Hu Zhao, Yang |
| author2 | School of Materials Science & Engineering |
| author_facet | School of Materials Science & Engineering Zhang, Yuyu Chen, Qing-Hu Zhao, Yang |
| author_sort | Zhang, Yuyu |
| collection | NTU |
| description | The generalized rotating-wave approximation with counter-rotating interactions has been applied to a biased
qubit-oscillator system. Analytical expressions are explicitly given for all eigenvalues and eigenstates. For a
flux qubit coupled to superconducting oscillators, spectra calculated by our approach are in excellent agreement
with experiment. Calculated energy levels for a variety of biases also agree well with those obtained via exact
diagonalization for a wide range of coupling strengths. Dynamics of the qubit has also been examined, and results
lend further support to the validity of the analytical approximation employed here. Our approach can be readily
implemented and applied to superconducting qubit-oscillator experiments conducted currently and in the near
future with a biased qubit and for all accessible coupling strengths. |
| first_indexed | 2024-10-01T02:23:43Z |
| format | Journal Article |
| id | ntu-10356/96547 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:23:43Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/965472023-07-14T15:54:19Z Generalized rotating-wave approximation to biased qubit-oscillator systems Zhang, Yuyu Chen, Qing-Hu Zhao, Yang School of Materials Science & Engineering DRNTU::Engineering::Materials::Energy materials The generalized rotating-wave approximation with counter-rotating interactions has been applied to a biased qubit-oscillator system. Analytical expressions are explicitly given for all eigenvalues and eigenstates. For a flux qubit coupled to superconducting oscillators, spectra calculated by our approach are in excellent agreement with experiment. Calculated energy levels for a variety of biases also agree well with those obtained via exact diagonalization for a wide range of coupling strengths. Dynamics of the qubit has also been examined, and results lend further support to the validity of the analytical approximation employed here. Our approach can be readily implemented and applied to superconducting qubit-oscillator experiments conducted currently and in the near future with a biased qubit and for all accessible coupling strengths. Published version 2013-05-09T01:24:10Z 2019-12-06T19:32:20Z 2013-05-09T01:24:10Z 2019-12-06T19:32:20Z 2013 2013 Journal Article Zhang, Y. Y., Chen, Q. H., & Zhao, Y. (2013). Generalized rotating-wave approximation to biased qubit-oscillator systems. Physical Review A, 87(3). https://hdl.handle.net/10356/96547 http://hdl.handle.net/10220/9919 10.1103/PhysRevA.87.033827 en Physical review A © 2013 American Physical Society. This paper was published in Physical Review A and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at the following official DOI: http://dx.doi.org/10.1103/PhysRevA.87.033827. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. application/pdf |
| spellingShingle | DRNTU::Engineering::Materials::Energy materials Zhang, Yuyu Chen, Qing-Hu Zhao, Yang Generalized rotating-wave approximation to biased qubit-oscillator systems |
| title | Generalized rotating-wave approximation to biased qubit-oscillator systems |
| title_full | Generalized rotating-wave approximation to biased qubit-oscillator systems |
| title_fullStr | Generalized rotating-wave approximation to biased qubit-oscillator systems |
| title_full_unstemmed | Generalized rotating-wave approximation to biased qubit-oscillator systems |
| title_short | Generalized rotating-wave approximation to biased qubit-oscillator systems |
| title_sort | generalized rotating wave approximation to biased qubit oscillator systems |
| topic | DRNTU::Engineering::Materials::Energy materials |
| url | https://hdl.handle.net/10356/96547 http://hdl.handle.net/10220/9919 |
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