Transmission time in the reflectionless complex potential

doi:10.1088/1674-1056/23/10/100301

›› 2014, Vol. 23 ›› Issue (10): 100301-100301.doi: 10.1088/1674-1056/23/10/100301

Transmission time in the reflectionless complex potential

殷澄^a, 王贤平^b, 单鸣雷^a, 韩庆邦^a, 朱昌平^a

a Jiangsu Key Laboratory of Power Transmission and Distribution Equipment Technology, Hohai University, Changzhou 213022, China;
b School of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China

收稿日期:2014-01-15 修回日期:2014-04-16 出版日期:2014-10-15 发布日期:2014-10-15
基金资助:
Project supported by the Fundamental Research Funds for the Central Universities of Hohai University, China (Grant No. 2012B04114) and the National Natural Science Foundation of China (Grant Nos. 10974044 and 11274091).

Transmission time in the reflectionless complex potential

Yin Cheng (殷澄)^a, Wang Xian-Ping (王贤平)^b, Shan Ming-Lei (单鸣雷)^a, Han Qing-Bang (韩庆邦)^a, Zhu Chang-Ping (朱昌平)^a

a Jiangsu Key Laboratory of Power Transmission and Distribution Equipment Technology, Hohai University, Changzhou 213022, China;
b School of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China

Received:2014-01-15 Revised:2014-04-16 Online:2014-10-15 Published:2014-10-15
Contact: Han Qing-Bang E-mail:hqb0092@163.com
About author:03.65.Ca; 03.65.Xp; 03.75.Be
Supported by:
Project supported by the Fundamental Research Funds for the Central Universities of Hohai University, China (Grant No. 2012B04114) and the National Natural Science Foundation of China (Grant Nos. 10974044 and 11274091).

摘要/Abstract

摘要： A phase time definition directly obtained from the Schrödinger equation is used to investigate the time delay of a particle scattered by complex reflectionless potential. The artifacts introduced by truncating in the numerical simulation are clarified. The time delay of the transmitted wave packet is found to be equal to the reflection time of the truncated potential. Both time delays are the same as the traversal time in the free space, but shorter than the time taken by a classical particle to pass the same potential.

关键词: complex reflectionless potentials, transmission time, supersymmetric quantum mechanics

Abstract: A phase time definition directly obtained from the Schrödinger equation is used to investigate the time delay of a particle scattered by complex reflectionless potential. The artifacts introduced by truncating in the numerical simulation are clarified. The time delay of the transmitted wave packet is found to be equal to the reflection time of the truncated potential. Both time delays are the same as the traversal time in the free space, but shorter than the time taken by a classical particle to pass the same potential.

Key words: complex reflectionless potentials, transmission time, supersymmetric quantum mechanics

中图分类号: (Formalism)

03.65.Ca

03.65.Xp (Tunneling, traversal time, quantum Zeno dynamics) 03.75.Be (Atom and neutron optics)

殷澄, 王贤平, 单鸣雷, 韩庆邦, 朱昌平. Transmission time in the reflectionless complex potential[J]. , 2014, 23(10): 100301-100301.

Yin Cheng (殷澄), Wang Xian-Ping (王贤平), Shan Ming-Lei (单鸣雷), Han Qing-Bang (韩庆邦), Zhu Chang-Ping (朱昌平). Transmission time in the reflectionless complex potential[J]. Chin. Phys. B, 2014, 23(10): 100301-100301.

参考文献 0


[2]	Broughton J Q, Abraham F F, Bernstein N and Kaxiras E 1999 Phys. Rev. B 60 2391 doi: 10.1103/PhysRevB.60.2391

[1]	Sukhorukov A 2010 Opt. Lett. 35 989 doi: 10.1364/OL.35.000989

[3]	Lidorikis E, Bachlechner M E, Kalia R K, Nakano A and Vashishta P 2001 Phys. Rev. Lett. 87 86104 doi: 10.1103/PhysRevLett.87.086104

[2]	Correa F, Jakubský V and Plyushchay M 2009 Ann. Phys. 324 1078 doi: 10.1016/j.aop.2009.01.009

[4]	Tadmor E B, Ortiz M and Phillips R 1996 Phil. Mag. A 73 1529 doi: 10.1080/01418619608243000

[5]	Shao Y F, Yang X, Zhao X and Wang S Q 2012 Chin. Phys. B 21 093104

[3]	Berenger J 1994 J. Comput. Phys. 114 185 doi: 10.1006/jcph.1994.1159

[6]	Dupuy L M, Tadmor E B, Miller R E and Phillips R 2005 Phys. Rev. Lett. 95 060202 doi: 10.1103/PhysRevLett.95.060202

[4]	Cooper F, Khare A and Sukhatme U 1995 Phys. Rep. 251 267 doi: 10.1016/0370-1573(94)00080-M

[7]	Rudd R E and Broughton J Q 1998 Phys. Rev. B 58 R5893

[5]	Koller A and Olshanii M 2011 Phys. Rev. E 84 066601 doi: 10.1103/PhysRevE.84.066601

[8]	Rudd R E and Broughton J Q 2005 Phys. Rev. B 72 144104 doi: 10.1103/PhysRevB.72.144104

[9]	Wanger G J and Liu W K 2003 J. Comp. Phys. 190 249 doi: 10.1016/S0021-9991(03)00273-0

[6]	Park C 2011 Phys. Lett. A 375 3348 doi: 10.1016/j.physleta.2011.07.048

[10]	Xu M, Gracie R and Belytschko T 2010 Int. J. Numer. Meth. Engng. 81 1635

[11]	Shilkrot L E, Miller R E and Curtin W A 2002 Phys. Rev. Lett. 89 025501 doi: 10.1103/PhysRevLett.89.025501

[7]	Yin C, Cao Z and Shen Q 2010 Ann. Phys. 325 528 doi: 10.1016/j.aop.2009.11.004

[8]	Szameit A, Dreisow F, Heinrich M, Nolte S and Sukhorukov A 2011 Phys. Rev. Lett. 106 193903 doi: 10.1103/PhysRevLett.106.193903

[12]	Warner D H, Curtin W A and Qu S 2007 Nat. Mater. 6 876 doi: 10.1038/nmat2030

[13]	Hara S, Kumagai T, Izumi S and Sakai S 2009 Acta. Mater. 57 4209 doi: 10.1016/j.actamat.2009.05.018

[9]	Ahmed Z 2001 Phys. Lett. A 282 343 doi: 10.1016/S0375-9601(01)00218-3

[14]	Luan B Q, Hyun S, Molinari J F, Bernstein N and Robbins M O 2006 Phys. Rev. B 74 46710 doi: 10.1103/PhysRevE.74.046710

[10]	Muga J, Palao J, Navarro B and Egusquiza I 2004 Phys. Rep. 395 357 doi: 10.1016/j.physrep.2004.03.002

[11]	Pandya S, Vaishnav B and Joshipura K 2012 Chin. Phys. B 21 093402

[15]	Bazant Z P 1978 Comput. Method. Appl. Mech. Engrg. 16 91 doi: 10.1016/0045-7825(78)90035-X

[12]	Winful H 2006 Phys. Rep. 436 1 doi: 10.1016/j.physrep.2006.09.002

[16]	Zhou S J, Lomdahl P S, Thomson R and Holian B L 1996 Phys. Rev. Lett. 76 2318 doi: 10.1103/PhysRevLett.76.2318

[13]	Steinberg A and Chiao R 1994 Phys. Rev. A 49 3283 doi: 10.1103/PhysRevA.49.3283

[14]	Zhou G 1993 Acta Phys. Sin. 42 173 (in Chinese)

[15]	Yuan W, Yin C, Wang X and Cao Z 2010 Chin. Phys. B 19 093402

[17]	Qu S, Shastry V, Curtin W A and Miller R E 2005 Modell. Simul. Mater. Sci. Eng. 13 1101 doi: 10.1088/0965-0393/13/7/007

[16]	Yin. C, Wu. Z, Wang X, Sun J and Cao Z 2010 Chin. Phys. B 19 117305

[18]	Doll J D, Myers L E and Adelman S A 1975 J. Chem. Phys. 63 4908 doi: 10.1063/1.431234

[17]	Hai W, Rong S and Zhu Q 2008 Phys. Rev. E 78 066214 doi: 10.1103/PhysRevE.78.066214

Transmission time in the reflectionless complex potential

Transmission time in the reflectionless complex potential

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