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Chin. Phys. B, 2020, Vol. 29(4): 040302    DOI: 10.1088/1674-1056/ab7741
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Generating Kerr nonlinearity with an engineered non-Markovian environment

Fei-Lei Xiong(熊飞雷)1, Wan-Li Yang(杨万里)1, Mang Feng(冯芒)1,2,3
1 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;
2 Department of Physics, Zhejiang Normal University, Jinhua 321004, China;
3 School of Physics and Engineering, Zhengzhou University, Zhengzhou 450001, China
Abstract  Kerr nonlinearity is an important resource for creating squeezing and entanglement in quantum technology. Here we propose a scheme for generating Kerr nonlinearity originated from an engineered non-Markovian environment, which is different from the previous efforts using nonlinear media or quantum systems with special energy structures. In the present work, the generation of Kerr nonlinearity depends on the system-environment interaction time, the energy spectrum of the environment, and the system-environment coupling strength, regardless of the environmental initial state. The scheme can be realized in systems originally containing no Kerr interaction, such as superconducting circuit systems, optomechanical systems, and cavity arrays connected by transmission lines.
Keywords:  Kerr nonlinearity      quantum non-Markovianity      engineered environment  
Received:  02 December 2019      Revised:  26 January 2020      Accepted manuscript online: 
PACS:  03.67.-a (Quantum information)  
  03.65.Yz (Decoherence; open systems; quantum statistical methods)  
  42.50.Dv (Quantum state engineering and measurements)  
Fund: Project supported by the National Key Research and Development Program of China (Grant No. 2017YFA0304503) and the National Natural Science Foundation of China (Grant Nos. 11835011, 11574353, 11734018, and 11674360).
Corresponding Authors:  Mang Feng     E-mail:

Cite this article: 

Fei-Lei Xiong(熊飞雷), Wan-Li Yang(杨万里), Mang Feng(冯芒) Generating Kerr nonlinearity with an engineered non-Markovian environment 2020 Chin. Phys. B 29 040302

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