Quantum simulation of ‘zitterbewegung＇ in a single trapped ion under conditions of parity-keeping and parity-breaking

The motional trembling（‘zitterbewegung’）of a relativistic electron governed by Dirac equation was originally predicted by Schr¨odinger in the early days of quantum mechanics and simulated in a recent experiment with a single trapped ultracold ion.We investigate stable and instable confinements of a...

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Bibliographic Details
Published in:Science China. Physics, mechanics & astronomy mechanics & astronomy, 2014-07, Vol.57 (7), p.1250-1255
Main Authors: Liu, Tao, Feng, Mang, Yang, WanLi, Chen, Liang, Zhou, Fei, Wang, KeLin
Format: Article
Language:English
Subjects:
Approximation
Astronomy
Classical and Continuum Physics
Dirac equation
Mathematical analysis
Motional
Observations and Techniques
Parity
Physics
Physics and Astronomy
Quantum mechanics
Schroedinger equation
Simulation
Trapping
仿真
保存
囚禁离子
奇偶
断条
狄拉克方程
相对论性电子
量子力学
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Summary:The motional trembling（‘zitterbewegung’）of a relativistic electron governed by Dirac equation was originally predicted by Schr¨odinger in the early days of quantum mechanics and simulated in a recent experiment with a single trapped ultracold ion.We investigate stable and instable confinements of a single trapped ion in a Paul trap under different conditions relevant to parity.Since our treatment involves neither restriction of Lamb-Dicke limit nor rotating-wave approximation,we may demonstrate different quantum dynamics of the single trapped ion in a wide range of the trapping parameters.We discuss the origin of the zitterbewegung which is relevant to the stability of the ion trapping.
ISSN:1674-7348
1869-1927
DOI:10.1007/s11433-014-5458-5