A NEW METHOD FOR CONSTRUCTING ORTHONORMAL EIGENVECTORS OF HIGH ORDER POWER OF PHOTON ANNIHILATION OPERATOR

LI FU-LI; CHAI JIN-LIN; ZHANG ZHI-MING

doi:10.7498/aps.42.1058

Abstract
In this paper, orthonormal eigenvectors of high order power of photon annihila.tion operator are constructed with N basic vectors of coherent states |aei(2π)/N n〉(n = 0,1,2, …,N-1), and squeezing and antibunching in these states are studied. The results show that squeezing appears only when N = 2 and 4 but antibunching exists for every N.
Authors and contacts
LI FU-LI,

CHAI JIN-LIN,

ZHANG ZHI-MING

1.
西安交通大学物理系,西安,710049
References

Cited By

[1]	Xu Ping, Xiao Yu-Fei, Huang Hai-Xuan, Yang Tuo, Zhang Xu-Lin, Yuan Xia, Li Xiong-Chao, Wang Meng-Yu, Xu Hai-Dong. A new method of implementing simultaneous multiplexing holographic display of wavelength and polarization state with simple structure metasurface. Acta Physica Sinica, 2021, 70(8): 084201. doi: 10.7498/aps.70.20201047
[2]	Chen Yuan-Yuan, Yang Pan-Jie, Zhang Wei-Zhi, Yan Xiao-Na. A powerful method to analyze of photonic crystals: mixed variational method. Acta Physica Sinica, 2016, 65(12): 124206. doi: 10.7498/aps.65.124206
[3]	Zhou Shuang, Feng Yong, Wu Wen-Yuan. A novel method to identify the scaling region of correlation dimension. Acta Physica Sinica, 2015, 64(13): 130504. doi: 10.7498/aps.64.130504
[4]	Wang Hui, Sha Wei E. I., Huang Zhi-Xiang, Wu Xian-Liang, Shen Jing. A novel eigenvalue method for calculating the band structure of lossy and dispersive photonic crystals. Acta Physica Sinica, 2014, 63(18): 184210. doi: 10.7498/aps.63.184210
[5]	Zhu Gui-Xin, Yu Tian-Bao, Chen Shu-Wen, Shi Zhe, Hu Shu-Juan, Lai Zhen-Quan, Liao Qing-Hua, Huang Yong-Zhen. A new way of uniform splitting of the optical power by directional coupling between the photonic crystal waveguides. Acta Physica Sinica, 2009, 58(2): 1014-1019. doi: 10.7498/aps.58.1014
[6]	Cai Qi-Fa, Huang Si-Xun, Gao Shou-Ting, Zhong Ke, Li Zi-Qiang. A new method for calculating vorticity. Acta Physica Sinica, 2008, 57(6): 3912-3919. doi: 10.7498/aps.57.3912
[7]	Cao Xiao-Qun, Huang Si-Xun, Du Hua-Dong. The new method of modeling horizontal error functions in variational assimilation with orthogonal wavelet. Acta Physica Sinica, 2008, 57(3): 1984-1989. doi: 10.7498/aps.57.1984
[8]	Hu Ming-Liang, Xi Xiao-Qiang. A new method of calculating the unitary evolution matrix ds(t) of the spin-s operators and its applications. Acta Physica Sinica, 2008, 57(6): 3319-3323. doi: 10.7498/aps.57.3319
[9]	Ding Guang-Tao. Two new methods for construction of Birkhoffian representation. Acta Physica Sinica, 2008, 57(12): 7415-7418. doi: 10.7498/aps.57.7415
[10]	Hu Xian-Quan, Xu Jie, Ma Yong, Yin Lin. The analytic solution of the radial Schr?dinger equation for the superposed potential of high-order power and inverse-power potential functions. Acta Physica Sinica, 2007, 56(9): 5060-5065. doi: 10.7498/aps.56.5060
[11]	Li De-Sheng, Zhang Hong-Qing. A new method to construct Weierstrass elliptic function solutions for soliton equations. Acta Physica Sinica, 2005, 54(12): 5540-5543. doi: 10.7498/aps.54.5540
[12]	Wang Ji-Suo, Feng Jian, Liu Tang-Kun, Zhan Ming-Sheng. . Acta Physica Sinica, 2002, 51(9): 1983-1988. doi: 10.7498/aps.51.1983
[13]	WANG MIAO, LI ZHEN-HUA. A NEW METHOD TO FABRICATE LARGE AMOUNTOF SINGLE-WALLED CARBON NANOTUBES. Acta Physica Sinica, 2001, 50(4): 790-792. doi: 10.7498/aps.50.790
[14]	WU XING一LONG. THE kTH POWER SQUEEZING OF THE FIELD AMPLITUDE IN SQUEEZED NUMBER STATES. Acta Physica Sinica, 1994, 43(9): 1433-1440. doi: 10.7498/aps.43.1433
[15]	WEI LIAN-FU. EIGENSTATES OF OPERATOR aqN(N≥2). Acta Physica Sinica, 1993, 42(5): 757-761. doi: 10.7498/aps.42.757
[16]	SHI WEI-CHUN, CHANG JIAN-BIN, HAN SHI-JIE. A METHOD FOR CONSTRUCTING EVERY ORTHONORMAL EIGENSTATES SYSTEM OF αN. Acta Physica Sinica, 1993, 42(3): 400-406. doi: 10.7498/aps.42.400
[17]	ZHAN YOU-BANG. SQUEEZING PROPERTIES OF EIGENSTATES OF HIGH ORDER POWER OF PHOTON ANNIHILATION OPERATOR. Acta Physica Sinica, 1992, 41(8): 1279-1288. doi: 10.7498/aps.41.1279
[18]	WANG JI-SUO. MATHEMATICAL STRUCTURE OF THE EIGENSTATES OF OPERATOR ak AND THEIR PROPERTIES. Acta Physica Sinica, 1991, 40(4): 547-554. doi: 10.7498/aps.40.547
[19]	Li Fu-li;Cai Jin-lin;Zhang Zhi-ming. A NEW METHOD FOR CONSTRUCTING ORTHONORMAL EIGENVECTORS OF HIGH ORDER POWER OF PHOTON ANNIHILATION OPERATOR. Acta Physica Sinica, 1991, 40(7): 1058-1064. doi: 10.7498/aps.40.1058
[20]	PENG SHI-AN, GUO GUANG-CAN. ORTHONORMALIZED EIGENSTATES OF OPERATOR αN AND THEIR PROPERTIES. Acta Physica Sinica, 1990, 39(1): 51-60. doi: 10.7498/aps.39.51

Catalog

Vol. 42, Issue 7 - 1993-04-05

Metrics

Abstract views: 6114
PDF Downloads: 472
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

A NEW METHOD FOR CONSTRUCTING ORTHONORMAL EIGENVECTORS OF HIGH ORDER POWER OF PHOTON ANNIHILATION OPERATOR

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

A NEW METHOD FOR CONSTRUCTING ORTHONORMAL EIGENVECTORS OF HIGH ORDER POWER OF PHOTON ANNIHILATION OPERATOR

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About