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Fisher information measures under lattice combined Paul trap
P O Amadi1,2, P Pewkhom1, P Kalasuwan3
1Division of Physical Science, Faculty of Science, Prince of Songkla University, Hat Yai, 90110, Songkhla, Thailand.
Scientific Reports
|August 9, 2026
Summary
We explored information properties of ions in optical-lattice modified Paul traps. Fisher-Shannon complexity remains invariant under frequency control, revealing insights into quantum information in these systems.
Area of Science:
- Quantum Information Science
- Atomic Physics
- Quantum Optics
Background:
- Paul traps confine ions using oscillating electric fields.
- Optical lattices create periodic potentials for atoms and ions.
- Information-theoretic measures quantify quantum state properties.
Purpose of the Study:
- To investigate the informational properties of a single ion in a Paul trap modified by an optical lattice.
- To analyze how Fisher information, Shannon entropy, and Fisher-Shannon complexity respond to changes in the effective trapping frequency.
- To establish an information-theoretic baseline for lattice-assisted Paul traps.
Main Methods:
- Theoretical analysis of a single ion's motional states (ground and first excited) in a combined Paul trap and optical lattice.
- Calculation of Fisher information, Shannon entropy, and Fisher-Shannon complexity.
- Examination of the system's behavior in both harmonic and non-harmonic regimes.
Main Results:
- Fisher information and Shannon entropy track the effective trapping frequency, indicating information redistribution.
- Fisher-Shannon complexity remains invariant under effective frequency control in the harmonic regime.
- Optical modulation rescales localization without altering the harmonic structure.
- Deviations from harmonic behavior and complexity invariance occur with quartic lattice corrections, especially for excited states.
Conclusions:
- The study establishes a controlled information-theoretic baseline for lattice-assisted Paul traps.
- Fisher-Shannon complexity invariance is a characteristic of the small-oscillation harmonic regime.
- Non-Gaussian features arising from lattice corrections break the invariance observed in the harmonic limit.
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