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

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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

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

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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

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References

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