Investigations on Dynamical Stability in 3D Quadrupole Ion Traps
Abstract
1. Introduction
Investigations on Classical and Quantum Dynamics Using Ion Traps
2. Analytical Model
2.1. Dynamical Stability for Two Coupled Oscillators in a Radiofrequency Trap
2.2. Solutions of Coupled System of Equations
3. Dynamic Stability for Two Oscillators Levitated in a RF Trap
3.1. System Hamiltonian Hessian Matrix Approach
3.2. Solutions of the Equations of Motion for the Two Oscillator System
3.3. Critical Points. Discussion.
4. Quantum Stability and Ordered Structures for Many-Body Systems of Trapped Ions
5. Hamiltonians for Systems of N Ions
6. Highlights
7. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
3D | 3 Dimensional |
CM | Centre of Mass |
LIT | Linear Ion Trap |
QED | Quantum Electrodynamics |
QIP | Quantum Information Processing |
QIT | Quadrupole Ion Trap |
RF | Radiofrequency |
SCCS | Strongly Coupled Coulomb Systems |
SET | Surface Electrode Trap |
Appendix A. Interaction Potential, Electric Potential of The Trap
Appendix B. Dynamical Stability
Appendix C. Quantum Stability
References
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Mihalcea, B.M.; Lynch, S. Investigations on Dynamical Stability in 3D Quadrupole Ion Traps. Appl. Sci. 2021, 11, 2938. https://doi.org/10.3390/app11072938
Mihalcea BM, Lynch S. Investigations on Dynamical Stability in 3D Quadrupole Ion Traps. Applied Sciences. 2021; 11(7):2938. https://doi.org/10.3390/app11072938
Chicago/Turabian StyleMihalcea, Bogdan M., and Stephen Lynch. 2021. "Investigations on Dynamical Stability in 3D Quadrupole Ion Traps" Applied Sciences 11, no. 7: 2938. https://doi.org/10.3390/app11072938
APA StyleMihalcea, B. M., & Lynch, S. (2021). Investigations on Dynamical Stability in 3D Quadrupole Ion Traps. Applied Sciences, 11(7), 2938. https://doi.org/10.3390/app11072938