SU(1,1) interferometers play an important role in quantum metrology. Previous studies focus on various inputs and detection strategies with symmetric gain. In this paper, we analyze a modified SU(1,1) interferometer u...SU(1,1) interferometers play an important role in quantum metrology. Previous studies focus on various inputs and detection strategies with symmetric gain. In this paper, we analyze a modified SU(1,1) interferometer using asymmetric gain. Two vacuum states are used as the input and on–off detection is performed at the output. In a lossless scenario,symmetric gain is the optimal selection and the corresponding phase sensitivity can achieve the Heisenberg limit as well as the quantum Cramer–Rao bound. In addition, we analyze the phase sensitivity with symmetric gain in the lossy scenario.The phase sensitivity is sensitive to internal losses but extremely robust against external losses. We address the optimal asymmetric gain and the results suggest that this method can improve the tolerance to internal losses. Our work may contribute to the practical development of quantum metrology.展开更多
Starting from general Jacobi polynomials we derive for the Ul-traspherical polynomials as their special case a set of related polynomials which can be extended to an orthogonal set of functions with interesting proper...Starting from general Jacobi polynomials we derive for the Ul-traspherical polynomials as their special case a set of related polynomials which can be extended to an orthogonal set of functions with interesting properties. It leads to an alternative definition of the Ultraspherical polynomials by a fixed integral operator in application to powers of the variable u in an analogous way as it is possible for Hermite polynomials. From this follows a generating function which is apparently known only for the Legendre and Chebyshev polynomials as their special case. Furthermore, we show that the Ultraspherical polynomials form a realization of the SU(1,1) Lie algebra with lowering and raising operators which we explicitly determine. By reordering of multiplication and differentiation operators we derive new operator identities for the whole set of Jacobi polynomials which may be applied to arbitrary functions and provide then function identities. In this way we derive a new “convolution identity” for Jacobi polynomials and compare it with a known convolution identity of different structure for Gegenbauer polynomials. In short form we establish the connection of Jacobi polynomials and their related orthonormalized functions to the eigensolution of the Schrödinger equation to Pöschl-Teller potentials.展开更多
We propose a rational quantum deformed nonlocal currents in the homogeneous space SU(2)k/U(1), and in terms of it and a free boson field a representation for the Drinfeld currents of Yangian double at a general level ...We propose a rational quantum deformed nonlocal currents in the homogeneous space SU(2)k/U(1), and in terms of it and a free boson field a representation for the Drinfeld currents of Yangian double at a general level k = c is obtained. In the classical limit h → 0, the quantum nonlocal currents become SU(2)k parafermion, and the realization of Yangian double becomes the parafermion realization of SU(2)k current algebra.展开更多
目的探讨电针廉泉穴对脑卒中后吞咽困难(PSD)大鼠神经功能缺损的影响及潜在对瞬时受体电位香草酸亚型1(TRPV1)信号通路的调节机制作用。方法选用SPF级SD雄性大鼠60只,随机分为正常组12只(仅浅插栓线,未导致脑内动脉闭塞),余48只制作PSD...目的探讨电针廉泉穴对脑卒中后吞咽困难(PSD)大鼠神经功能缺损的影响及潜在对瞬时受体电位香草酸亚型1(TRPV1)信号通路的调节机制作用。方法选用SPF级SD雄性大鼠60只,随机分为正常组12只(仅浅插栓线,未导致脑内动脉闭塞),余48只制作PSD模型,将造模成功的36只大鼠随机分为模型组、治疗组和治疗+咖啡酸组,每组12只。记录大鼠吞咽潜伏期和吞咽次数,生物信号采集器检测舌下神经放电、舌肌阈强度和收缩幅度,酶联免疫吸附测定血清P物质含量,甲苯胺蓝染色检测舌下神经核尼氏体数目,免疫组织化学检测舌下神经核TRPV1、五羟色胺(5-HT)、磷酸化p38、神经元型一氧化氮合酶(nNOS)蛋白表达水平。结果与正常组比较,模型组大鼠吞咽潜伏期、吞咽次数、舌下神经放电积分面积、舌肌收缩幅度、血清P物质含量、舌下神经核尼氏体数目、TRPV1及5-HT蛋白表达水平下降,舌肌阈强度和舌下神经核磷酸化p38、nNOS蛋白表达水平增加(P<0.05);与模型组比较,治疗组大鼠舌肌单收缩幅度、舌肌强直收缩幅度、血清P物质含量、舌下神经核尼氏体数目、TRPV1及5-HT蛋白表达水平增加[2.36±0.26 vs 1.77±0.22、3.46±0.36 vs 2.15±0.18、(3.92±0.38)ng/ml vs(1.69±0.17)ng/ml、(33.60±3.65)个vs(24.60±2.34)个、(19.85±2.11)%vs(9.79±1.07)%、(22.43±2.34)%vs(10.85±1.13)%,P<0.05]。结论电针廉泉穴可能通过激活TRPV1信号通路改善PSD大鼠神经功能缺损。展开更多
基金Project supported by Leading Innovative Talents in Changzhou (Grant No.CQ20210107)Shuangchuang Ph.D Award (Grant No.JSSCBS20210915)+1 种基金Natural Science Research of Jiangsu Higher Education Institutions of China (Grant No.21KJB140007)the National Natural Science Foundation of China (Grant No.12104193)。
文摘SU(1,1) interferometers play an important role in quantum metrology. Previous studies focus on various inputs and detection strategies with symmetric gain. In this paper, we analyze a modified SU(1,1) interferometer using asymmetric gain. Two vacuum states are used as the input and on–off detection is performed at the output. In a lossless scenario,symmetric gain is the optimal selection and the corresponding phase sensitivity can achieve the Heisenberg limit as well as the quantum Cramer–Rao bound. In addition, we analyze the phase sensitivity with symmetric gain in the lossy scenario.The phase sensitivity is sensitive to internal losses but extremely robust against external losses. We address the optimal asymmetric gain and the results suggest that this method can improve the tolerance to internal losses. Our work may contribute to the practical development of quantum metrology.
文摘Starting from general Jacobi polynomials we derive for the Ul-traspherical polynomials as their special case a set of related polynomials which can be extended to an orthogonal set of functions with interesting properties. It leads to an alternative definition of the Ultraspherical polynomials by a fixed integral operator in application to powers of the variable u in an analogous way as it is possible for Hermite polynomials. From this follows a generating function which is apparently known only for the Legendre and Chebyshev polynomials as their special case. Furthermore, we show that the Ultraspherical polynomials form a realization of the SU(1,1) Lie algebra with lowering and raising operators which we explicitly determine. By reordering of multiplication and differentiation operators we derive new operator identities for the whole set of Jacobi polynomials which may be applied to arbitrary functions and provide then function identities. In this way we derive a new “convolution identity” for Jacobi polynomials and compare it with a known convolution identity of different structure for Gegenbauer polynomials. In short form we establish the connection of Jacobi polynomials and their related orthonormalized functions to the eigensolution of the Schrödinger equation to Pöschl-Teller potentials.
文摘We propose a rational quantum deformed nonlocal currents in the homogeneous space SU(2)k/U(1), and in terms of it and a free boson field a representation for the Drinfeld currents of Yangian double at a general level k = c is obtained. In the classical limit h → 0, the quantum nonlocal currents become SU(2)k parafermion, and the realization of Yangian double becomes the parafermion realization of SU(2)k current algebra.
文摘目的探讨电针廉泉穴对脑卒中后吞咽困难(PSD)大鼠神经功能缺损的影响及潜在对瞬时受体电位香草酸亚型1(TRPV1)信号通路的调节机制作用。方法选用SPF级SD雄性大鼠60只,随机分为正常组12只(仅浅插栓线,未导致脑内动脉闭塞),余48只制作PSD模型,将造模成功的36只大鼠随机分为模型组、治疗组和治疗+咖啡酸组,每组12只。记录大鼠吞咽潜伏期和吞咽次数,生物信号采集器检测舌下神经放电、舌肌阈强度和收缩幅度,酶联免疫吸附测定血清P物质含量,甲苯胺蓝染色检测舌下神经核尼氏体数目,免疫组织化学检测舌下神经核TRPV1、五羟色胺(5-HT)、磷酸化p38、神经元型一氧化氮合酶(nNOS)蛋白表达水平。结果与正常组比较,模型组大鼠吞咽潜伏期、吞咽次数、舌下神经放电积分面积、舌肌收缩幅度、血清P物质含量、舌下神经核尼氏体数目、TRPV1及5-HT蛋白表达水平下降,舌肌阈强度和舌下神经核磷酸化p38、nNOS蛋白表达水平增加(P<0.05);与模型组比较,治疗组大鼠舌肌单收缩幅度、舌肌强直收缩幅度、血清P物质含量、舌下神经核尼氏体数目、TRPV1及5-HT蛋白表达水平增加[2.36±0.26 vs 1.77±0.22、3.46±0.36 vs 2.15±0.18、(3.92±0.38)ng/ml vs(1.69±0.17)ng/ml、(33.60±3.65)个vs(24.60±2.34)个、(19.85±2.11)%vs(9.79±1.07)%、(22.43±2.34)%vs(10.85±1.13)%,P<0.05]。结论电针廉泉穴可能通过激活TRPV1信号通路改善PSD大鼠神经功能缺损。
