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Significance and Sensor Utility of Phase in Quantum Localization Transition
1Department of Physical Sciences, Kutztown University of Pennsylvania, Kutztown, Pennsylvania 19530, USA and Department of Physics and Astronomy, State University of New York, Stony Brook, New York 11794-3800, USA.
Physical Review Letters
|August 29, 2020
Summary
The Harper-Hofstadter model
Area of Science:
- Condensed matter physics
- Quantum mechanics
Background:
- The Harper-Hofstadter model describes electron behavior in a magnetic field on a lattice.
- Understanding localization phenomena is crucial for quantum device applications.
Purpose of the Study:
- To investigate the periodic dependence of localization in the Harper-Hofstadter model on phase degrees of freedom.
- To explore a novel sensing principle based on localization for rotation and magnetic fields.
Main Methods:
- Analysis of the Harper-Hofstadter model with specific boundary conditions.
- Theoretical investigation of localization properties in a finite ring-shaped lattice.
Main Results:
- Demonstrated striking periodic dependence of localization on phase degrees of freedom.
- Showcased phase dependence reminiscent of the Aharonov-Bohm effect.
- Identified potential for precision sensing of rotation and magnetic fields.
Conclusions:
- The phase dependence of localization offers a new sensing mechanism.
- This localization-based sensing principle contrasts with traditional interferometry.
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