Simulation of Wave Packet Dynamics of Quasiparticles with Different Dispersions in Cold Atomic System

LI Zhi; HUANG Yulei; CHEN Limei; LIAO Kaiyu

doi:10.6054/j.jscnun.2019077

Journal of South China Normal University (Natural Science Edition) > 2019 > 51(5): 1-5. > DOI: 10.6054/j.jscnun.2019077

LI Zhi, HUANG Yulei, CHEN Limei, LIAO Kaiyu. Simulation of Wave Packet Dynamics of Quasiparticles with Different Dispersions in Cold Atomic System[J]. Journal of South China Normal University (Natural Science Edition), 2019, 51(5): 1-5. DOI: 10.6054/j.jscnun.2019077

Citation:

PDF (4229 KB)

Simulation of Wave Packet Dynamics of Quasiparticles with Different Dispersions in Cold Atomic System

School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, China

More Information

Received Date: May 23, 2019
Available Online: March 08, 2021

Graphical Abstract

Abstract

Abstract

The dynamic propertic of quasi-particles with different dispersion relations is investigated based on ultra-cold atomic gases in optical lattices. Numerical simulation of quasi-particle dynamics with and without the initial velocity is conducted by means of the numerical time-splitting spectrum and Heisenberg scenario analytic solution to equations of motion, and a thorough discussion is made on the effect of quasi-momentum power in dispersion relations on the dynamics of quasi-particles. The results show that relativistic Zitterbewegung(ZB) oscillation occurs in the system given that the quasi-momentum power in dispersion relations of the quasi-particles is an odd number. However, ZB does not occur in the process of quasi-particle dynamics with an even power. Besides, the greater the power of the quasi-momentum, the higher sensitivity of the quasi-particle drift to the initial velocity of the wave packets.
- quantum simulation,
- relativistic dynamics,
- ultracold gases,
- Zitterbewegung

FullText(HTML)

References (25)

References

[1]	SCHRÖDINGER E. Uber die Kraftefreie Bewegung inder relativistischer Quantenmechanik[M]. Berlin:Sitzungsber Preuss, 1930.
[2]	GERRITSMA R, KIRCHMAIR G, ZÄHRINGER F, et al. Quantum simulation of the Dirac equation[J]. Nature, 2010, 463:68-71. http://d.old.wanfangdata.com.cn/OAPaper/oai_arXiv.org_0909.0674
[3]	GEORGESCU I M, ASHHAB S, NORI F. Quantum simulation[J]. Reviews of Modern Physics, 2014, 86(1):153-185. http://d.old.wanfangdata.com.cn/NSTLQK/NSTL_QKJJ0232227198/
[4]	LLOYD S. Universal Quantum simulators[J]. Science, 1996, 273:1073-1078. http://d.old.wanfangdata.com.cn/NSTLQK/NSTL_QKJJ0234740445/
[5]	CIRAC J I, ZOLLER P. Goals and opportunities in quantum simulation[J]. Nature Physics, 2012, 8(4):264-266. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=0eeeefad3b6079d3bdcdb3f7623e45c0
[6]	FEYNMAN R P. Simulating physics with computers[J]. International Journal of Theoretical Physics, 1982, 21(6/7):467-488. http://d.old.wanfangdata.com.cn/OAPaper/oai_arXiv.org_0911.1624
[7]	朱燕清, 张丹伟, 朱诗亮.用光晶格模拟狄拉克、外尔和麦克斯韦方程[J].物理学报, 2019, 68(4):152-161. http://d.old.wanfangdata.com.cn/Periodical/wlxb201904013 ZHU Y Q, ZHANG D W, ZHU S L. Simulating Dirac, Weyl and Maxwell equations with cold atoms in optical lattices[J]. Acta Physica Sinica, 2019, 68(4):046701/1-8. http://d.old.wanfangdata.com.cn/Periodical/wlxb201904013
[8]	DAVIS K B, MEWES M, ANDREWS M R, et al. Bose-Einstein condensation in a gas of sodium atoms[J]. Physi-cal Review Letters, 1995, 75:3969-3973. http://d.old.wanfangdata.com.cn/OAPaper/oai_arXiv.org_cond-mat%2f9805022
[9]	ANDERSON M H, ENSHER J R, MATTHEWS M R, et al. Observation of Bose-Einstein condensation in a dilute atomic vapor[J]. Science, 1995, 269:198-201.
[10]	TARRUELL L, GREIF D, UEHLINGER T, et al. Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice[J]. Nature, 2012, 483:302-305. http://d.old.wanfangdata.com.cn/OAPaper/oai_arXiv.org_1111.5020
[11]	HASEGAWA Y, KONNO R, NAKANO H, et al. Zero modes of tight binding electrons on the honeycomb lattice[J]. Physical Review B:Condensed Matter, 2006, 74(3):3413/1-4. http://d.old.wanfangdata.com.cn/OAPaper/oai_arXiv.org_cond-mat%2f0604433
[12]	ZHU S L, WANG B, DUAN L M. Simulation and detection of Dirac fermions with cold atoms in an optical lattice[J]. Physical Review Letters, 2007, 98(26):260402/1-4. http://d.old.wanfangdata.com.cn/OAPaper/oai_arXiv.org_cond-mat%2f0703454
[13]	SHAO L B, ZHU S L, SHENG L, et al. Realizing and detecting the Quantum Hall Effect without Landau Levels by using ultracold atoms[J]. Physical Review Letters, 2008, 101(24):246810/1-4. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=0ce09518e8854431a871f15562e60f22
[14]	ZHANG D W, WANG Z D, ZHU S L. Relativistic quantum effects of Dirac particles simulated by ultracold atoms[J]. Frontiers of Physics, 2012, 7(1):31-53. http://d.old.wanfangdata.com.cn/OAPaper/oai_arXiv.org_1203.5949
[15]	DIETL P, FRÉDÉRIC P, MONTAMBAUX G. New magnetic field dependence of Landau Levels in a graphenelike structure[J]. Physical Review Letters, 2008, 100(23):236405/1-4. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=7be29a0e86994d78c21194fffcab674e
[16]	GOERBIG M O, FUCHS J N, MONTAMBAUX G, et al. Tilted anisotropic Dirac cones in quinoid-type graphene and α-(BEDT-TTF)₂I₃[J]. Physical Review B:Condensed Matter, 2008. 78(2):045415/1-11.
[17]	黄肖健, 许文刚, 廖开宇, 等.六角晶格中Dirac准粒子的动力学模拟与操控[J].华南师范大学学报(自然科学版), 2019, 51(2):7-13. http://journal-n.scnu.edu.cn/CN/abstract/abstract4515.shtml HUANG X J, XU W G, LIAO K Y, et al. Simulation and manipulation of Dirac Quasiparticles' dynamics in a hexagonal lattice[J]. Journal of South China Normal University (Natural Science Edition), 2019, 51(2):7-13. http://journal-n.scnu.edu.cn/CN/abstract/abstract4515.shtml
[18]	PEREIRA V M, CASTRO N A H, PERES N M R. Tight-binding approach to uniaxial strain in graphene[J]. Physical Review B:Condensed Matter, 2009, 80(4):045401/1-8. http://d.old.wanfangdata.com.cn/OAPaper/oai_arXiv.org_0811.4396
[19]	WUNSCH B, GUINEA F, SOLS F. Dirac-point engineering and topological phase transitions in honeycomb optical lattices[J]. New Journal of Physics, 2008, 10:103027/1-15. http://d.old.wanfangdata.com.cn/OAPaper/oai_arXiv.org_0807.4245
[20]	VOLOVIK G E. Quantum phase transitions from topology in momentum space[M]. Berlin:Springer, 2006.
[21]	MONTAMBAUX G, PICHON F, FUCHS J N, et al. Merging of Dirac points in a two-dimensional crystal[J]. Physical Review B:Condensed Matter, 2009, 80:153412/1-4. http://d.old.wanfangdata.com.cn/OAPaper/oai_arXiv.org_0904.2117
[22]	WANG L, FU L B. Interaction-induced merging of Dirac points in non-Abelian optical lattices[J]. Physical Review A, 2013, 87:053612/1-5. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=1cc99a4e01c01ddee77643faa5ada992
[23]	LI Z, CAO H, FU L B. Zitterbewegung for ultracold atoms in the merging of Dirac points[J]. Physical Review A, 2015, 91:023623/1-5. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=fa64018cf90679cc9e0fc48c60b51013
[24]	LI Z, WANG H Q, ZHANG D W, et al. Dynamics of Weyl quasiparticles in an optical lattice[J]. Physical Review A, 2016, 94:043617/1-7.
[25]	SHEN X, LI Z. Topological characterization of a one-dimensional optical lattice with a force[J]. Physical Review A, 2018, 97:013608/1-7.

Cited By

Cited by

Periodical cited type(1)

方家瑞，殷涛，贺亮. 光晶格中多体极化子在Mott绝缘体区域的量子相. 华南师范大学学报(自然科学版). 2022(06): 23-27 .

Other cited types(0)

Get Citation

PDF

XML

Article views (2007) PDF downloads (80) Cited by(1)

Turn off MathJax

Article Contents

Abstract

References

Simulation of Wave Packet Dynamics of Quasiparticles with Different Dispersions in Cold Atomic System

Abstract

References

Cited by

Periodical cited type(1)

Other cited types(0)

Catalog

Export File

Citation

Format

Content