Please wait a minute...
Chin. Phys. B, 2008, Vol. 17(10): 3841-3846    DOI: 10.1088/1674-1056/17/10/050
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

Bright and dark small amplitude nonlinear localized modes in a quantum one-dimensional Klein--Gordon chain

Liu Yang(刘洋) and Tang Yi(唐翌)
Department of Physics, Xiangtan University, Xiangtan 411105, China
Abstract  By means of the Glauber's coherent state method combined with multiple-scale method, this paper investigates the localized modes in a quantum one-dimensional Klein--Gordon chain and finds that the equation of motion of annihilation operator is reduced to the nonlinear Schrödinger equation. Interestingly, the model can support both bright and dark small amplitude travelling and non-travelling nonlinear localized modes in different parameter spaces.
Keywords:  nonlinear localized modes      coherent state      Klein--Gordon chain  
Received:  14 December 2007      Revised:  02 March 2008      Accepted manuscript online: 
PACS:  03.65.Ge (Solutions of wave equations: bound states)  
  63.20.Pw (Localized modes)  
  63.20.Ry (Anharmonic lattice modes)  
Fund: Project supported by the Key Project of Hunan Provincial Educational Department of China (Grant No 04A058).

Cite this article: 

Liu Yang(刘洋) and Tang Yi(唐翌) Bright and dark small amplitude nonlinear localized modes in a quantum one-dimensional Klein--Gordon chain 2008 Chin. Phys. B 17 3841

[1] Nonclassicality of photon-modulated spin coherent states in the Holstein—Primakoff realization
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). Chin. Phys. B, 2022, 31(5): 054205.
[2] Coherent interaction and action-counteraction theory in small polaron systems, and ground state properties
Zhi-Hua Luo(罗质华) and Chao-Fan Yu(余超凡). Chin. Phys. B, 2022, 31(11): 117104.
[3] Wave packet dynamics of nonlinear Gazeau-Klauder coherent states of a position-dependent mass system in a Coulomb-like potential
Faustin Blaise Migueu, Mercel Vubangsi, Martin Tchoffo, and Lukong Cornelius Fai. Chin. Phys. B, 2021, 30(6): 060309.
[4] Probe of topological invariants using quantum walks of a trapped ion in coherent state space
Ya Meng(蒙雅), Feng Mei(梅锋), Gang Chen(陈刚), Suo-Tang Jia(贾锁堂). Chin. Phys. B, 2020, 29(7): 070501.
[5] Nonclassicality of photon-modulated atomic coherent states in the Schwinger bosonic realization
Jisuo Wang(王继锁), Xiangguo Meng(孟祥国), and Xiaoyan Zhang(张晓燕). Chin. Phys. B, 2020, 29(12): 124213.
[6] Finite-dimensional pair coherent state engendered via the nonlinear Bose operator realization and its Wigner phase-space distributions
Jianming Liu(刘建明), Xiangguo Meng(孟祥国). Chin. Phys. B, 2019, 28(12): 124206.
[7] Time evolution of angular momentum coherent state derived by virtue of entangled state representation and a new binomial theorem
Ji-Suo Wang(王继锁), Xiang-Guo Meng(孟祥国), Hong-Yi Fan(范洪义). Chin. Phys. B, 2019, 28(10): 100301.
[8] Entropy of field interacting with two two-qubit atoms
Tang-Kun Liu(刘堂昆), Yu Tao(陶宇), Chuan-Jia Shan(单传家), Ji-Bing Liu(刘继兵). Chin. Phys. B, 2018, 27(9): 090303.
[9] Construction of two-qubit logical gates by transmon qubits in a three-dimensional cavity
Han Cai(蔡涵), Qi-Chun Liu(刘其春), Chang-Hao Zhao(赵昌昊), Ying-Shan Zhang(张颖珊), Jian-She Liu(刘建设), Wei Chen(陈炜). Chin. Phys. B, 2018, 27(8): 084207.
[10] Extended Bell inequality and maximum violation
Yan Gu(古燕), Haifeng Zhang(张海峰), Zhigang Song(宋志刚), Jiuqing Liang(梁九卿), Lianfu Wei(韦联福). Chin. Phys. B, 2018, 27(10): 100303.
[11] Quantum interference between heralded single photon stateand coherent state
Lei Yang(杨磊), Xiaoxin Ma(马晓欣), Xiaoying Li(李小英). Chin. Phys. B, 2017, 26(7): 074206.
[12] Quantum statistical properties of photon-added spin coherent states
G Honarasa. Chin. Phys. B, 2017, 26(11): 114202.
[13] Quantum dual signature scheme based on coherent states with entanglement swapping
Jia-Li Liu(刘佳丽), Rong-Hua Shi(施荣华), Jin-Jing Shi(石金晶), Ge-Li Lv(吕格莉), Ying Guo(郭迎). Chin. Phys. B, 2016, 25(8): 080306.
[14] Gazeau-Klauder coherent states examined from the viewpoint of diagonal ordering operation technique
Dušan Popov, Romeo Negrea, Miodrag Popov. Chin. Phys. B, 2016, 25(7): 070301.
[15] Hong-Ou-Mandel interference with two independent weak coherent states
Hua Chen(陈华), Xue-Bi An(安雪碧), Juan Wu(伍娟), Zhen-Qiang Yin(银振强), Shuang Wang(王双), Wei Chen(陈巍), Zhen-Fu Han(韩正甫). Chin. Phys. B, 2016, 25(2): 020305.
No Suggested Reading articles found!