算符组合激发双模压缩真空态的量子特性
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摘要
将(a,b)双模产生算符组合和双模压缩算符先后作用在双模真空态上,构建了算符组合激发双模压缩真空态。采用数值计算方法,讨论了双模压缩参数和组合系数对b模压缩效应、反聚束效应、Q参量及两模间纠缠量等量子特性的影响。研究结果表明,b模光场不呈现压缩效应;随着压缩参数或组合系数u的增大,b模的反聚束效应和亚泊松分布性质均减弱。随着压缩参数的增大,两模间纠缠量增大;双模间纠缠量与算符组合系数间存在非线性关系。
With the successive operation of the creation operator combination of two-mode(a,b)and the two-mode squeezing operator on a two-mode vacuum state,a two-mode squeezed vacuum state excited by combination operators is constructed.By the numerical calculation method,the influences of two-mode squeezing parameter and combination coefficient on the quantum properties such as the squeezing effect of mode b,the anti-bunching effect,the Qparameter and the two-mode entanglement degree are discussed.The study results show that the mode b does not display the squeezing effect while the anti-bunching effect and the sub-Poissonian distribution property of mode b are both weakened with the increase of the squeezing parameter or the combination coefficient u.The entanglement degree between the two modes becomes larger with the increase of the squeezing parameter.And there exists a nonlinear relationship between the two-mode entanglement degree and the operator combination coefficient.
With the successive operation of the creation operator combination of two-mode(a,b)and the two-mode squeezing operator on a two-mode vacuum state,a two-mode squeezed vacuum state excited by combination operators is constructed.By the numerical calculation method,the influences of two-mode squeezing parameter and combination coefficient on the quantum properties such as the squeezing effect of mode b,the anti-bunching effect,the Qparameter and the two-mode entanglement degree are discussed.The study results show that the mode b does not display the squeezing effect while the anti-bunching effect and the sub-Poissonian distribution property of mode b are both weakened with the increase of the squeezing parameter or the combination coefficient u.The entanglement degree between the two modes becomes larger with the increase of the squeezing parameter.And there exists a nonlinear relationship between the two-mode entanglement degree and the operator combination coefficient.
引文
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[2]Li B,Sa C E F,Guo C L.Quantum properties in a system of two two-level atoms interacting with Pólya state light field[J].Laser&Optoelectronics Progress,2016,53(3):032702.李斌,萨楚尔夫,郭彩丽.两个二能级原子与Pólya态光场相互作用系统中的量子特性[J].激光与光电子学进展,2016,53(3):032702.
[3]Agarwal G S,Tara K.Nonclassical properties of states generated by the excitations on a coherent state[J].Physical Review A,1991,43(1):492-497.
[4]Lan H J,Pang H F,Wei L F.Wigner functions of multiple-photon excited coherent states[J].Acta Physica Sinica,2009,58(12):8281-8288.兰海江,庞华锋,韦联福.多光子激发相干态的Wigner函数[J].物理学报,2009,58(12):8281-8288.
[5]Wang Z,Li H M,Yuan H C,et al.Statistical properties of photon-added two-mode squeezed coherent states[J].International Journal of Theoretical Physics,2017,56(3):729-740.
[6]Biswas A,Agarwal G S.Nonclassicality and decoherence of photon-subtracted squeezed states[J].Physical Review A,2007,75(3):032104.
[7]Lee S Y,Nha H.Quantum state engineering by a coherent superposition of photon-subtraction and addition[J].Physical Review A,2010,82(5):053812.
[8]Ren G,Du J M,Zhang W H,et al.Nonclassicality generated by applying Hermite-polynomials photonadded operator on the even/odd coherent states[J].International Journal of Theoretical Physics,2017,56(5):1537-1549.
[9]Lee S Y,Ji S W,Kim H J,et al.Enhancing quantum entanglement for continuous variables by a coherent superposition of photon subtraction and addition[J].Physical Review A,2011,84(1):012302.
[10]Zhang H L,Wu J N,Liu C J,et al.Two-mode excited entangled coherent state:nonclassicality and entanglement[J].International Journal of Theoretical Physics,2017,56(3):652-666.
[11]Wu W F,Fan H Y.Single-mode photon-addition squeezed state and its statistical properties[J].International Journalof Theoretical Physics,2017,56(8):2651-2658.
[12]Xu X X,Yuan H C,Fan H Y.Decoherence of photonsubtracted squeezed vacuum state in dissipative channel[J].Chinese Physics B,2011,20(2):024203.
[13]Hu L Y,Xu X X,Wang Z S,et al.Photonsubtracted squeezed thermal state:nonclassicality and decoherence[J].Physical Review A,2010,82(4):043828.
[14]Zhou J,Fan H Y,Song J.Photon-subtracted twomode squeezed thermal state and its photon-number distribution[J].International Journal Theoretical Physics,2012,51(5):1591-1599.
[15]Zhou J,Song J,Yuan H,et al.The statistical properties of a new type of photon-subtracted squeezed coherence state[J].Chinese Physics Letters,2012,29(5):050301.
[16]Lu D M.Quantum properties of state via operation of light field combination operator on chaotic field[J].Acta Optica Sinica,2015,35(7):0727003.卢道明.光场组合算符激发混沌场的量子特性[J].光学学报,2015,35(7):0727003.
[17]Zhou J,Fan H Y,Song J.A new two-mode thermoand squeezing-mixed optical field[J].Chinese Physics B,2017,26(7):070301.
[18]Li Q,Deng X W,Zhang Q,et al.Experimental preparation of a pure two-mode squeezed state[J].Acta Optica Sinica,2016,36(4):0427001.李强,邓晓玮,张强,等.实验制备纯的双模压缩态[J].光学学报,2016,36(4):0427001.
[19]Fan H Y.From quantum mechanics to quantum optics[M].Shanghai:Shanghai Jiao Tong University Press,2005:17-40.范洪义.从量子力学到量子光学[M].上海:上海交通大学出版社,2005:17-40.
[20]Hillery M,Zubairy M S.Entanglement conditions for two-mode states[J].Physical Review Letters,2006,96(5):050503.