Non-Gaussian quantum states generated via quantum catalysis and their statistical properties

doi:10.1088/1674-1056/ad2a74

中国物理B ›› 2024, Vol. 33 ›› Issue (4): 40308-040308.doi: 10.1088/1674-1056/ad2a74

Non-Gaussian quantum states generated via quantum catalysis and their statistical properties

Xiao-Yan Zhang(张晓燕)¹, Chun-Yan Yang(杨春燕)², Ji-Suo Wang(王继锁)^1,†, and Xiang-Guo Meng(孟祥国)^3,‡

1 Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, School of Physics and Physical Engineering, Qufu Normal University, Qufu 273165, China;
2 Shandong National Secondary Vocational School, Qingzhou 262500, China;
3 School of Basic Medical Sciences, Weifang Medical University, Weifang 261000, China

收稿日期:2023-12-21 修回日期:2024-02-02 接受日期:2024-02-19 出版日期:2024-03-19 发布日期:2024-04-01
通讯作者: Ji-Suo Wang, and Xiang-Guo Meng E-mail:jswang@qfnu.edu.cn;mengxiangguo1978@sina.com
基金资助:
This work was supported by the National Natural Science Foundation of China (Grant No. 11347026) and the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2020MA085 and ZR2020MF113).

Non-Gaussian quantum states generated via quantum catalysis and their statistical properties

Xiao-Yan Zhang(张晓燕)¹, Chun-Yan Yang(杨春燕)², Ji-Suo Wang(王继锁)^1,†, and Xiang-Guo Meng(孟祥国)^3,‡

1 Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, School of Physics and Physical Engineering, Qufu Normal University, Qufu 273165, China;
2 Shandong National Secondary Vocational School, Qingzhou 262500, China;
3 School of Basic Medical Sciences, Weifang Medical University, Weifang 261000, China

Received:2023-12-21 Revised:2024-02-02 Accepted:2024-02-19 Online:2024-03-19 Published:2024-04-01
Contact: Ji-Suo Wang, and Xiang-Guo Meng E-mail:jswang@qfnu.edu.cn;mengxiangguo1978@sina.com
Supported by:
This work was supported by the National Natural Science Foundation of China (Grant No. 11347026) and the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2020MA085 and ZR2020MF113).

摘要/Abstract

摘要： A new kind of non-Gaussian quantum catalyzed state is proposed via multiphoton measurements and two-mode squeezing as an input of thermal state. The characteristics of the generated multiphoton catalysis output state depends on the thermal parameter, catalyzed photon number and squeezing parameter. We then analyze the nonclassical properties by examining the photon number distribution, photocount distribution and partial negativity of the Wigner function. Our findings indicate that nonclassicality can be achieved through the implementation of multiphoton catalysis operations and modulated by the thermal parameter, catalyzed photon number and squeezing parameter.

关键词: two-mode squeezing, multiphoton catalysis, nonclassicality, Wigner function

Abstract: A new kind of non-Gaussian quantum catalyzed state is proposed via multiphoton measurements and two-mode squeezing as an input of thermal state. The characteristics of the generated multiphoton catalysis output state depends on the thermal parameter, catalyzed photon number and squeezing parameter. We then analyze the nonclassical properties by examining the photon number distribution, photocount distribution and partial negativity of the Wigner function. Our findings indicate that nonclassicality can be achieved through the implementation of multiphoton catalysis operations and modulated by the thermal parameter, catalyzed photon number and squeezing parameter.

Key words: two-mode squeezing, multiphoton catalysis, nonclassicality, Wigner function

中图分类号: (Quantum mechanics)

03.65.-w

05.30.-d (Quantum statistical mechanics) 42.50.-p (Quantum optics)

Xiao-Yan Zhang(张晓燕), Chun-Yan Yang(杨春燕), Ji-Suo Wang(王继锁), and Xiang-Guo Meng(孟祥国). Non-Gaussian quantum states generated via quantum catalysis and their statistical properties[J]. 中国物理B, 2024, 33(4): 40308-040308.

参考文献

[1] Kok P and Lovett B W 2010 Introduction to Optical Quantum Information Processing (Cambridge:Cambridge University Press)
[2] Scully M O and Zubairy M S 1997 Quantum Optics (Cambridge:Cambridge University Press)
[3] Wenger J, Tualle-Brouri R, and Grangier P 2004 Phys. Rev. Lett. 92 153601
[4] Carranza R and Gerry C C 2012 J. Opt. Soc. Am. B 29 2581
[5] Anisimov P M, Raterman G M, Chiruvelli A, Plick W N, Huver S D, Lee H and Dowling J P 2010 Phys. Rev. Lett. 104 103602
[6] Joo J, Munro W J and Spiller T P 2011 Phys. Rev. Lett. 107 083601
[7] Lloyd S and Braunstein S L 1999 Phys. Rev. Lett. 82 1784
[8] Takeda S, Benichi H, Mizuta T, Lee N, Yoshikawa J and Furusawa A 2012 Phys. Rev. A 85 053824
[9] Vasylyev D, Vogel W and Semenov A A 2018 Phys. Rev. A 97 063852
[10] Felicetti S, Fedortchenko S, Rossi J R, Ducci S, Favero I, Coudreau T and Milman P 2017 Phys. Rev. A 95 022322
[11] Hu L Y, Xu X X, Wang Z S and Xu X F 2010 Phys. Rev. A 82 043842
[12] Ye W, Zhou W D, Zhang H L, Liu C J, Huang J H and Hu L Y 2017 Laser Phys. Lett. 14 115201
[13] Braun D, Jian P, Pinel O and Treps N 2014 Phys. Rev. A 90 013821
[14] Wang J S, Meng X G and Zhang X Y 2020 Chin. Phys. B 29 124213
[15] Agarwal G S and Tara K 1991 Phys. Rev. A 43 492
[16] Zavatta A, Parigi V and Bellini M 2007 Phys. Rev. A 75 052106
[17] Ra Y S, Dufour A, Walschaers M, et al. 2020 Nat. Phys. 16 144
[18] Lee S Y, Ji S W, Kim H J and Nha H 2011 Phys. Rev. A 84 012302
[19] Dhar H S, Chatterjee A and Ghosh R 2015 J. Phys. B:At. Mol. Opt. Phys. 48 185502
[20] Lvovsky A I and Mlynek J 2002 Phys. Rev. Lett. 88 250401
[21] Bartley T J, Donati G, Spring J B, Jin X M, Barbieri M, Datta A, Smith B J and Walmsley I A 2012 Phys. Rev. A 86 043820
[22] Ye W, Zhang K Z, Zhang H L, Xu X X and Hu L Y 2018 Laser Phys. Lett. 15 025204
[23] Ye W, Zhong H, Liao Q, Huang D, Hu L Y and Guo Y 2019 Opt. Express 27 17186
[24] Zhang H, Ye W, Wei C P, Xia Y, Chang S K, Liao Z Y and Hu L Y 2021 Phys. Rev. A 103 013705
[25] Fan H Y 1991 Phys. Lett. A 161 1
[26] Meng X G, Li K C, Wang J S, Yang Z S, Zhang X Y, Zhang Z T and Liang B L 2020 Front. Phys. 15 52501
[27] Kelley P L and Kleiner W H 1964 Phys. Rev. 136 316
[28] Fan H Y and Hu L Y 2008 Opt. Lett. 33 443
[29] Wigner E P 1932 Phys. Rev. 40 749
[30] Wang J S, Meng X G and Fan H Y 2019 Chin. Phys. B 28 100301

Non-Gaussian quantum states generated via quantum catalysis and their statistical properties

Non-Gaussian quantum states generated via quantum catalysis and their statistical properties

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Ke Zhang(张科), Lan-Lan Li(李兰兰), Hong-Yi Fan(范洪义). Wigner function of optical cumulant operator and its dissipation in thermo-entangled state representation[J]. 中国物理B, 2024, 33(6): 60307-060307.
[2]	Ke Zhang(张科), Lan-Lan Li(李兰兰), Da-Wei Guo(郭大伟), and Hong-Yi Fan(范洪义). New light fields based on integration theory within the Weyl ordering product of operators[J]. 中国物理B, 2023, 32(4): 40301-040301.
[3]	Xiaoyan Zhang(张晓燕), Jisuo Wang(王继锁), Lei Wang(王磊),Xiangguo Meng(孟祥国), and Baolong Liang(梁宝龙). Nonclassicality of photon-modulated spin coherent states in the Holstein—Primakoff realization[J]. 中国物理B, 2022, 31(5): 54205-054205.
[4]	武少雄, 于长水. Margolus-Levitin speed limit across quantum to classical regimes based on trace distance[J]. 中国物理B, 2020, 29(5): 50302-050302.
[5]	毕海云, 齐国元, 胡建兵, 吴启亮. Quantum-classical correspondence and mechanical analysis ofa classical-quantum chaotic system[J]. 中国物理B, 2020, 29(2): 20502-020502.
[6]	吕恒云, 王继锁, 张晓燕, 吴孟艳, 梁宝龙, 孟祥国. Wigner function for squeezed negative binomial state and evolution of density operator for amplitude decay[J]. 中国物理B, 2019, 28(9): 90302-090302.
[7]	刘春丽, 郭丽丽, 张智明, 於亚飞. Negativity of Wigner function and phase sensitivity of an SU(1,1) interferometer[J]. 中国物理B, 2019, 28(6): 60704-060704.
[8]	杜传勋, 孟祥国, 张冉, 王继锁. Analytical and numerical investigations of displaced thermal state evolutions in a laser process[J]. 中国物理B, 2017, 26(12): 120301-120301.
[9]	G Honarasa. Quantum statistical properties of photon-added spin coherent states[J]. 中国物理B, 2017, 26(11): 114202-114202.
[10]	李恒梅, 徐学翔, 袁洪春, 王震. Quantum metrology with two-mode squeezed thermal state: Parity detection and phase sensitivity[J]. 中国物理B, 2016, 25(10): 104203-104203.
[11]	N Asili Firouzabadi, M K Tavassoly, M J Faghihi. Algebraic and group treatments to nonlinear displaced number statesand their nonclassicality features: A new approach[J]. 中国物理B, 2015, 24(6): 64204-064204.
[12]	徐学翔, 袁洪春, 王燕. Comparison between photon annihilation-then-creation and photon creation-then-annihilation thermal states：Non-classical and non-Gaussian properties[J]. , 2014, 23(7): 70301-070301.
[13]	范洪义, 笪诚. Detaching two single-mode squeezing operators from the two-mode squeezing operator[J]. 中国物理B, 2013, 22(9): 90303-090303.
[14]	孟祥国, 王继锁, 梁宝龙. New approach for deriving the exact time evolution of density operator for diffusive anharmonic oscillator and its Wigner distribution function[J]. Chin. Phys. B, 2013, 22(3): 30307-030307.
[15]	徐莉娟, 谭国斌, 马善钧, 郭琴. Nonclassicality and decoherence of coherent superposition operation of photon subtraction and photon addition on squeezed state[J]. 中国物理B, 2013, 22(3): 30311-030311.