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Chin. Phys. B, 2023, Vol. 32(3): 030302    DOI: 10.1088/1674-1056/aca39a
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Floquet scattering through a parity-time symmetric oscillating potential

Xuzhen Cao(曹序桢)1,2, Zhaoxin Liang(梁兆新)3,†, and Ying Hu(胡颖)1,2,‡
1 State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan 030006, China;
2 Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China;
3 Department of Physics, Zhejiang Normal University, Jinhua 321004, China
Abstract  We investigate the scattering of a particle from a trapping potential that is subjected to weak, parity-time symmetric periodic drivings. Using the Floquet theory, we derive the scattering matrix and calculate the transmittance of the incident particle. When the driving is purely coherent, our calculation recovers the known result and the transmission spectrum shows the familiar, bound-state-induced Fano resonances. When the driving is purely incoherent, we find the Fano resonances still occur, but the lineshape of each resonance is reversed compared to the coherent-driving counterpart. Intriguingly, the transmission resonances disappear when both the coherent and incoherent driving fields are present with equal amplitudes. This phenomena can be seen as a manifestation of the non-reciprocal coupling of Floquet channels in the frequency domain. Notably, when the frequency up-conversion is absent, the transmission is such as if there is no driving at all, even when the driving strength increases.
Keywords:  open system      periodic driving      scattering  
Received:  21 September 2022      Revised:  09 November 2022      Accepted manuscript online:  17 November 2022
PACS:  03.65.Yz (Decoherence; open systems; quantum statistical methods)  
  03.65.-w (Quantum mechanics)  
  03.65.Nk (Scattering theory)  
Fund: Project supported by the National Key Research and Development Program of China (Grant No. 2017YFA0304203), the National Natural Science Foundation of China (Grant No. 11874038), the Zhejiang Provincial Natural Science Foundation (Grant No. LZ21A040001), the National Natural Science Foundation of China (Grant No. 12074344), and the Key Projects of the Natural Science Foundation of China (Grant No. 11835011).
Corresponding Authors:  Zhaoxin Liang, Ying Hu     E-mail:;

Cite this article: 

Xuzhen Cao(曹序桢), Zhaoxin Liang(梁兆新), and Ying Hu(胡颖) Floquet scattering through a parity-time symmetric oscillating potential 2023 Chin. Phys. B 32 030302

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