Sideband transitions in a two-mode Josephson circuit driven beyond the rotating-wave approximation
Driving quantum systems periodically in time plays an essential role in the coherent control of quantum states. The rotating-wave approximation (RWA) is a good approximation technique for weak and nearly resonance driven fields. However, these experiments sometimes require large detuning and strong...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2021-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.033004 |
| _version_ | 1797210978380677120 |
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| author | Byoung-moo Ann Wouter Kessels Gary A. Steele |
| author_facet | Byoung-moo Ann Wouter Kessels Gary A. Steele |
| author_sort | Byoung-moo Ann |
| collection | DOAJ |
| description | Driving quantum systems periodically in time plays an essential role in the coherent control of quantum states. The rotating-wave approximation (RWA) is a good approximation technique for weak and nearly resonance driven fields. However, these experiments sometimes require large detuning and strong driving fields, for which the RWA may not hold. In this work, we experimentally, numerically, and analytically explore strongly driven two-mode Josephson circuits in the regime of strong driving and large detuning. Specifically, we investigate beam-splitter and two-mode squeezing interaction between the two modes induced by driving a two-photon sideband transition. Using numerical simulations, we observe that the RWA is unable to correctly capture the amplitude of the sideband transition rates. We verify this finding using an analytical model that is based on perturbative corrections. We find that the breakdown of the RWA in the regime studied does not lead to qualitatively different dynamics, but gives the same results as the RWA theory at higher drive strengths, enhancing the coupling rates compared to what one would predict. This is an interesting consequence compared to the carrier transition case, where the breakdown of the RWA results in qualitatively different time evolution of the quantum state. Our work provides an insight into the behavior of time-periodically driven systems beyond the RWA. We also provide a robust theoretical framework for including these findings in the calculation and calibration of quantum protocols in circuit quantum electrodynamics. |
| first_indexed | 2024-04-24T10:19:11Z |
| format | Article |
| id | doaj.art-291a1f5cfca14df9bb01f55a24cd2c7b |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:19:11Z |
| publishDate | 2021-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-291a1f5cfca14df9bb01f55a24cd2c7b2024-04-12T17:11:18ZengAmerican Physical SocietyPhysical Review Research2643-15642021-07-013303300410.1103/PhysRevResearch.3.033004Sideband transitions in a two-mode Josephson circuit driven beyond the rotating-wave approximationByoung-moo AnnWouter KesselsGary A. SteeleDriving quantum systems periodically in time plays an essential role in the coherent control of quantum states. The rotating-wave approximation (RWA) is a good approximation technique for weak and nearly resonance driven fields. However, these experiments sometimes require large detuning and strong driving fields, for which the RWA may not hold. In this work, we experimentally, numerically, and analytically explore strongly driven two-mode Josephson circuits in the regime of strong driving and large detuning. Specifically, we investigate beam-splitter and two-mode squeezing interaction between the two modes induced by driving a two-photon sideband transition. Using numerical simulations, we observe that the RWA is unable to correctly capture the amplitude of the sideband transition rates. We verify this finding using an analytical model that is based on perturbative corrections. We find that the breakdown of the RWA in the regime studied does not lead to qualitatively different dynamics, but gives the same results as the RWA theory at higher drive strengths, enhancing the coupling rates compared to what one would predict. This is an interesting consequence compared to the carrier transition case, where the breakdown of the RWA results in qualitatively different time evolution of the quantum state. Our work provides an insight into the behavior of time-periodically driven systems beyond the RWA. We also provide a robust theoretical framework for including these findings in the calculation and calibration of quantum protocols in circuit quantum electrodynamics.http://doi.org/10.1103/PhysRevResearch.3.033004 |
| spellingShingle | Byoung-moo Ann Wouter Kessels Gary A. Steele Sideband transitions in a two-mode Josephson circuit driven beyond the rotating-wave approximation Physical Review Research |
| title | Sideband transitions in a two-mode Josephson circuit driven beyond the rotating-wave approximation |
| title_full | Sideband transitions in a two-mode Josephson circuit driven beyond the rotating-wave approximation |
| title_fullStr | Sideband transitions in a two-mode Josephson circuit driven beyond the rotating-wave approximation |
| title_full_unstemmed | Sideband transitions in a two-mode Josephson circuit driven beyond the rotating-wave approximation |
| title_short | Sideband transitions in a two-mode Josephson circuit driven beyond the rotating-wave approximation |
| title_sort | sideband transitions in a two mode josephson circuit driven beyond the rotating wave approximation |
| url | http://doi.org/10.1103/PhysRevResearch.3.033004 |
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