Related Experiment Video
Updated: Aug 22, 2025
08:55
Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
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Localization in Two-Dimensional Quasicrystalline Lattices
Luis Antonio González-García1, Héctor Alva-Sánchez1, Rosario Paredes1
1Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, México D. F. 01000, Mexico.
Entropy (Basel, Switzerland)
|November 11, 2022
Summary
Localization in Bose gases within quasicrystalline lattices was studied. Findings reveal specific potential depths trigger localization, with five-fold symmetry localizing earlier than eight-fold and twelve-fold symmetries.
Area of Science:
- Quantum physics
- Condensed matter physics
- Statistical mechanics
Background:
- Bose gases exhibit unique quantum phenomena when confined.
- Quasicrystalline lattices offer novel potential landscapes for atomic systems.
- Understanding localization is key to controlling quantum states.
Purpose of the Study:
- To investigate the emergence of localization in a Bose gas.
- To analyze localization in quasicrystalline lattices with 5, 8, and 12-fold rotational symmetry.
- To determine the influence of potential depth on localization phenomena.
Main Methods:
- Mean-field analysis of a weakly interacting Bose gas.
- Calculation of inverse participation ratio (IPR) and Shannon entropy.
- Statistical study of stationary density profiles.
Main Results:
- Localization was identified as a function of potential depth for each lattice symmetry.
- Condensate density localized from partial to full site occupancy.
- Localization occurred at (6ER,9ER) for five-fold symmetry and (12ER,15ER) for octagonal and dodecagonal symmetries.
Conclusions:
- Potential depth is a critical parameter controlling Bose gas localization in quasicrystals.
- The degree of localization depends on the specific quasicrystalline symmetry.
- This research provides insights into quantum state control in complex potentials.
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