Generating Kerr nonlinearity with an engineered non-Markovian environment

doi:10.1088/1674-1056/ab7741

中国物理B ›› 2020, Vol. 29 ›› Issue (4): 40302-040302.doi: 10.1088/1674-1056/ab7741

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Generating Kerr nonlinearity with an engineered non-Markovian environment

Fei-Lei Xiong(熊飞雷), Wan-Li Yang(杨万里), Mang Feng(冯芒)

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

收稿日期:2019-12-02 修回日期:2020-01-26 出版日期:2020-04-05 发布日期:2020-04-05
通讯作者: Mang Feng E-mail:mangfeng@wipm.ac.cn
基金资助:
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).

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

Received:2019-12-02 Revised:2020-01-26 Online:2020-04-05 Published:2020-04-05
Contact: Mang Feng E-mail:mangfeng@wipm.ac.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: Kerr nonlinearity, quantum non-Markovianity, engineered environment

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.

Key words: Kerr nonlinearity, quantum non-Markovianity, engineered environment

中图分类号: (Quantum information)

03.67.-a

03.65.Yz (Decoherence; open systems; quantum statistical methods) 42.50.Dv (Quantum state engineering and measurements)

熊飞雷, 杨万里, 冯芒. Generating Kerr nonlinearity with an engineered non-Markovian environment[J]. 中国物理B, 2020, 29(4): 40302-040302.

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[J]. Chin. Phys. B, 2020, 29(4): 40302-040302.

参考文献 50

[1]	Weinberger P 2008 Philos. Mag. Lett. 88 897 doi: 10.1080/09500830802526604
[2]	Eisenberg H S, Silberberg Y, Morandotti R, Boyd A R and Aitchison J S 1998 Phys. Rev. Lett. 81 3383 doi: 10.1103/PhysRevLett.81.3383
[3]	Yang W X, Zha T T and Lee R K 2009 Phys. Lett. A 374 355 doi: 10.1016/j.physleta.2009.11.002
[4]	Kelley P L 1965 Phys. Rev. Lett. 15 1005 doi: 10.1103/PhysRevLett.15.1005
[5]	Yoshiki W and Tanabe T 2014 Opt. Express 22 24332 doi: 10.1364/OE.22.024332
[6]	Brasch V, Geiselmann M, Herr T, Lihachev G, Pfeiffer M H P, Gorodetsky M L and Kippenberg T J 2016 Science 351 357 doi: 10.1126/science.aad4811
[7]	Kippenberg T J, Holzwarth R and Diddams S A 2011 Science 332 555 doi: 10.1126/science.1193968
[8]	Braunstein S L and Loock P 2005 Rev. Mod. Phys. 77 513 doi: 10.1103/RevModPhys.77.513
[9]	Nemoto K and Munro W J 2004 Phys. Rev. Lett. 93 250502 doi: 10.1103/PhysRevLett.93.250502
[10]	Lin Q and Li J 2009 Phys. Rev. A 79 022301 doi: 10.1103/PhysRevA.79.022301
[11]	Rosenblum S, Gao Y Y, Reinhold P, Wang C, Axline C J, Frunzio L, Girvin S M, Jiang L, Mirrahimi M, Devoret M H and Schoelkopf R J 2018 Nat. Commun. 9 652 doi: 10.1038/s41467-018-03059-5
[12]	Jeong H, Kim M S, Ralph T C and Ham B S 2004 Phys. Rev. A 70 061801 doi: 10.1103/PhysRevA.70.061801
[13]	Walls D F and Milburn G J 2007 Quantum Optics (Springer Science & Business Media) doi: um Optics ???Springer Science
[14]	Wang C Q, Zou J and Zhang Z M 2016 Chin. Phys. Lett. 33 024202 doi: 10.1088/0256-307X/33/2/024202
[15]	Zhao L F, Lai B H, Mei F, Yu Y F, Feng X L and Zhang Z M 2016 Chin. Phys. B 19 094207
[16]	Milburn G J and Walls D F 1984 Phys. Rev. A 30 56 doi: 10.1103/PhysRevA.30.56
[17]	Imoto N, Haus H A and Yamamoto Y 1985 Phys. Rev. A 32 2287 doi: 10.1103/PhysRevA.32.2287
[18]	Boyd R W 2003 Nonlinear Optics (Elsevier)
[19]	Munro W J, Nemoto K, Beausoleil R G and Spiller T P 2005 Phys. Rev. A 71 033819 doi: 10.1103/PhysRevA.71.033819
[20]	Barrett S D, Kok P, Nemoto K, Beausoleil R G, Munro W J and Spiller T P 2005 Phys. Rev. A 71 060302 doi: 10.1103/PhysRevA.71.060302
[21]	Bose S, Jacobs K and Knight P L 1997 Phys. Rev. A 56 4175 doi: 10.1103/PhysRevA.56.4175
[22]	Aldana S, Bruder C and Nunnenkamp A 2013 Phys. Rev. A 88 043826 doi: 10.1103/PhysRevA.88.043826
[23]	Schmidt H and Imamoglu A 1996 Opt. Lett. 21 1936 doi: 10.1364/OL.21.001936
[24]	Liang H, Niu Y, Deng L and Gong S 2017 Phys. Lett. A 381 3978 doi: 10.1016/j.physleta.2017.10.048
[25]	Hu Y, Ge G Q, Chen S, Yang X F and Chen Y L 2011 Phys. Rev. A 84 012329 doi: 10.1103/PhysRevA.84.012329
[26]	Wu Q Q, Liao J Q and Kuang L M 2011 Chin. Phys. B 20 034203 doi: 10.1088/1674-1056/20/3/034203
[27]	Yan L, Su S, Hou Q Z, Yang W L and Feng M 2019 Opt. Express 27 377 doi: 10.1364/OE.27.000377
[28]	Breuer H P and Petruccione F 2007 The Theory of Open Quantum Systems (Oxford: Oxford University Press)
[29]	Li L, Hall M J W and Wiseman H M 2018 Phys. Rep. 759 1 doi: 10.1016/j.physrep.2018.07.001
[30]	Breuer H P, Laine E M, Piilo J and Vacchini B 2016 Rev. Mod. Phys. 88 021002 doi: 10.1103/RevModPhys.88.021002
[31]	Rivas Á, Huelga S F and Plenio M B 2014 Rep. Prog. Phys. 77 094001 doi: 10.1088/0034-4885/77/9/094001
[32]	Wang Y D and Clerk A A 2013 Phys. Rev. Lett. 110 253601 doi: 10.1103/PhysRevLett.110.253601
[33]	Woolley M J and Clerk A A 2014 Phys. Rev. A 89 063805 doi: 10.1103/PhysRevA.89.063805
[34]	Yan X B 2017 Phys. Rev. A 96 053831 doi: 10.1103/PhysRevA.96.053831
[35]	Didier N, Guillaud J, Shankar S and Mirrahimi M 2018 Phys. Rev. A 98 012329 doi: 10.1103/PhysRevA.98.012329
[36]	Pastawski F, Clemente L and Cirac J I 2011 Phys. Rev. A 83 012304 doi: 10.1103/PhysRevA.83.012304
[37]	Müller M, Diehl S, Pupillo G and Zoller P 2012 Advances in atomic, molecular, and optical physics, Vol. 61 (Elsevier)
[38]	Streltsov A, Adesso G and Plenio M B 2017 Rev. Mod. Phys. 89 041003 doi: 10.1103/RevModPhys.89.041003
[39]	Yang W L, J H An, C Zhang, Feng M and Oh C H 2013 Phys. Rev. A 87 022312 doi: 10.1103/PhysRevA.87.022312
[40]	Bastidas V M, Kyaw T H, Tangpanitanon J, Romero G, Kwek L C and Angelakis D G 2018 New J. Phys. 20 093004 doi: 10.1088/1367-2630/aadcbd
[41]	Xiong F L, Li L and Chen Z B 2019 Phys. Lett. A 383 127 doi: 10.1016/j.physleta.2018.10.022
[42]	Breuer H P, Laine E M and Piilo J 2009 Phys. Rev. Lett. 103 210401 doi: 10.1103/PhysRevLett.103.210401
[43]	Kenfack A and Życzkowski K 2004 J. Opt. B: Quantum Semiclassical Opt. 6 396 doi: 10.1088/1464-4266/6/10/003
[44]	Nielsen M A and Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge University Press)
[45]	Glauber R J 1963 Phys. Rev. 131 2766 doi: 10.1103/PhysRev.131.2766
[46]	Sudarshan E C G 1963 Phys. Rev. Lett. 10 277 doi: 10.1103/PhysRevLett.10.277
[47]	Houck A A, Türeci H E and Koch J 2012 Nat. Phys. 8 292 doi: 10.1038/nphys2251
[48]	Lucero E, Barends R, Chen Y, Kelly J, Mariantoni M, Megrant A, O'Malley P, Sank D, Vainsencher A, Wenner J, White T, Yin Y, Cleland A N and Martinis J M 2012 Nat. Phys. 8 719 doi: 10.1038/nphys2385
[49]	Aspelmeyer M, Kippenberg T J and Marquardt F 2014 Rev. Mod. Phys. 86 1391 doi: 10.1103/RevModPhys.86.1391
[50]	Underwood D L, Shanks W E, Koch J and Houck A A 2012 Phys. Rev. A 86 023837 doi: 10.1103/PhysRevA.86.023837

Generating Kerr nonlinearity with an engineered non-Markovian environment

Generating Kerr nonlinearity with an engineered non-Markovian environment

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