Vacuum Bloch–Siegert shift in Landau polaritons with ultra-high cooperativity

被引:2
作者
Xinwei Li
Motoaki Bamba
Qi Zhang
Saeed Fallahi
Geoff C. Gardner
Weilu Gao
Minhan Lou
Katsumasa Yoshioka
Michael J. Manfra
Junichiro Kono
机构
[1] Rice University,Department of Electrical and Computer Engineering
[2] Osaka University,Department of Materials Engineering Science
[3] Japan Science and Technology Agency,PRESTO
[4] Argonne National Laboratories,Department of Physics and Astronomy, Station Q Purdue, and Birck Nanotechnology Center
[5] Purdue University,Department of Physics, Graduate School of Engineering
[6] Yokohama National University,School of Materials Engineering and School of Electrical and Computer Engineering
[7] Purdue University,Department of Material Science and NanoEngineering
[8] Rice University,Department of Physics and Astronomy
[9] Rice University,undefined
来源
Nature Photonics | 2018年 / 12卷
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摘要
A two-level system resonantly interacting with an a.c. magnetic or electric field constitutes the physical basis of diverse phenomena and technologies. However, Schrödinger’s equation for this seemingly simple system can be solved exactly only under the rotating-wave approximation, which neglects the counter-rotating field component. When the a.c. field is sufficiently strong, this approximation fails, leading to a resonance-frequency shift known as the Bloch–Siegert shift. Here, we report the vacuum Bloch–Siegert shift, which is induced by the ultra-strong coupling of matter with the counter-rotating component of the vacuum fluctuation field in a cavity. Specifically, an ultra-high-mobility two-dimensional electron gas inside a high-Q terahertz cavity in a quantizing magnetic field revealed ultra-narrow Landau polaritons, which exhibited a vacuum Bloch–Siegert shift up to 40 GHz. This shift, clearly distinguishable from the photon-field self-interaction effect, represents a unique manifestation of a strong-field phenomenon without a strong field.
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页码:324 / 329
页数:5
相关论文
共 63 条
[1]  
Feynman RP(1957)Geometrical representation of the Schrödinger equation for solving maser problems J. Appl. Phys. 28 49-52
[2]  
Vernon FL(1940)Magnetic resonance for nonrotating fields Phys. Rev. 57 522-527
[3]  
Hellwarth RW(1965)Solution of the Schrödinger equation with a Hamiltonian periodic in time Phys. Rev. 138 B979-B987
[4]  
Bloch F(1973)A quantum calculation of the higher order terms in the Bloch-Siegert shift J. Phys. B 6 L214-L217
[5]  
Siegert A(2010)Stark effect and generalized Bloch-Siegert shift in a strongly driven two-level system Phys. Rev. Lett. 105 257003-1069
[6]  
Shirley JH(2017)Observation of the Bloch-Siegert shift in a driven quantum-to-classical transition Phys. Rev. B 96 020501-118
[7]  
Cohen-Tannoudji C(2017)Large, valley-exclusive Bloch-Siegert shift in monolayer WS Science 355 1066-6344
[8]  
Dupont-Roc J(1997)Micromaser without the rotating-wave approximation: the Bloch-Siegert shift and related effects Opt. Commun. 142 106-1011
[9]  
Fabre C(2017)Terahertz light–matter interaction beyond unity coupling strength Nano. Lett. 17 6340-776
[10]  
Tuorila J(2009)Signatures of the ultrastrong light-matter coupling regime Phys. Rev. B 79 201303 (R)-47