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| Title | Category | Date | Authors |
| Double-double electromagnetically induced transparency with amplification University of Calgary | Publication | 2014-01-01 | H. M. Alotaibi, B. C. Sanders | | Slowing the probe field in the second window of double-double electromagnetically induced transparency University of Calgary | Publication | 2015-01-01 | H. M. Alotaibi, B. C. Sanders | | Electromagnetic response properties of fluxonium atomElectromagnetic Response of Fluxonium.
Hessa M. Alotaibi1, 2, and Barry C. Sanders1
1Institute for Quantum Information Science, University of Calgary, Alberta T2N 1N4, Canada
2 Public Authority for Applied Education and Training, P.O. Box No. 23167, Safat 13092 Kuwait
Fluxonium is especially promising as an artificial atom in a superconducting circuit because it admits a few electronic levels with low loss and decoherence [1]. These advantages arise because fluxonium has a multiple well potential whose properties are controlled by an external magnetic field. Fluxonium has previously been shown to be capable of exhibiting electromagnetically induced transparency and a new phenomenon known as electromagnetically induced transparency with amplification by operating with three electronic levels [2]. We study the electromagnetic response properties of fluxonium, which has been engineered to have four well-behaved electronic levels.
Our theoretical analysis, based on solving density-matrix master equations with classical driving fields, shows two transparency windows in the spectral response profile with locations determined by detunings of the weak signal and strong driving fields. The strong driving field can also be used to control transparency window width, dispersion and group velocity of the pulse. In particular we show that a significant reduction of the group velocities and also matching of the group velocities of the two signal fields are achievable for strong driving fields in accordance with predictions for optical systems [3, 4]. We show that judiciously chosen control parameters such as driving field strength can yield the existence of a point in the spectrum where the transparency windows for the two weak fields coincide for slightly different energy detunings, which ensures that field nonlinearities do not vanish, thereby enabling cross-phase modulation of the two signal fields. These results could be valuable for applications to quantum memory and quantum phase gates.
[1] Vladimir E. Manucharyan, Jens Koch, Leonid I. Glazman, Michel H. Devoret, Science 326, 113 (2009).
[2] Jaewoo Joo, Jérôme Bourassa, Alexandre Blais, and Barry C. Sanders, Phys. Rev. Lett. 105, 073601 (2010).
[3] S. Rébic, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbalan, Phys. Rev. A. 70, 032317 (2004).
[4] Amitabh Joshi, and Min Xiao, Phys. Rev. A. 72, 062319 (2005).
University of Calgary | Presentation | 2012-06-12 | H. M. Alotaibi, B. C. Sanders | | Two electromagnetically induced transparency windows and cross-phase modulation with four-level superconducting artificial atomsSuperconducting circuit quantum electrodynamics (SCQED) employs microwave transmission lines coupled to artificial atoms, which are typical two-level and recently three-level for electromagnetically induced transparency (EIT). We propose SCQED with a four-level tripod-configuration artificial atom to enable cross-phase modulation between two traveling-wave microwave fields. Our master-equation analysis for three driving fields (``signal,'' ``probe'' and ``coupling'') demonstrates the existence of two distinct EIT transparency windows in the spectral-response profile as a function of coupling and weak fields strength. We provide the first theoretical analysis of this unexpected second window and show its advantages over the known first EIT window. Specifically we show that this second EIT window provides both the signal and probe fields with identical response functions provided that their Rabi frequencies and detunings are the same. Exploiting the second window with judiciously chosen external flux and energy detuning result in low absorption, excellent group velocity matching, and high nonlinearity, thereby enabling strong cross-phase modulation for SCQED. University of Calgary | Presentation | 2013-03-21 | H. M. Alotaibi, B. C. Sanders | | Enhanced nonlinear susceptibility via double-double electromagnetically induced transparency University of Calgary | Publication | 2016-01-01 | B. C. Sanders, H. M. Alotaibi | | Strong coherent light amplification with double electromagnetically induced transparency coherences University of Calgary | Publication | 2017-01-01 | D. Wang, C. Liu, C. Xiao, J. Zhang, H. M. Alotaibi, B. C. Sanders, L. Wang, S. Zhu |
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