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A quantum walk simulation of extra dimensions with warped geometry
Andreu Anglés-Castillo1, Armando Pérez2
1Departament de Fìsica Teórica & IFIC, Universitat de València-CSIC, 46100, Burjassot, València, Spain. andreu.angles@ific.uv.es.
Scientific Reports
|February 5, 2022
Summary
This study explores quantum walks simulating spin 1/2 particles in a warped extra dimension. It reveals a geometric localization effect, distinct from Anderson localization, controlled by a warp coefficient.
Area of Science:
- High Energy Physics
- Quantum Computing
- Condensed Matter Physics
Background:
- Quantum walks can model particle behavior.
- The Randall-Sundrum model is crucial in high energy physics.
- Warped extra dimensions are theoretical constructs.
Purpose of the Study:
- To investigate quantum walk properties simulating spin 1/2 particles.
- To explore a model with an ordinary spatial dimension and one warped extra dimension.
- To analyze the connection between quantum walks and high energy physics models.
Main Methods:
- Simulating a spin 1/2 particle using a quantum walk.
- Analyzing a [Formula: see text]-dimensional Randall-Sundrum model.
- Examining the continuum spacetime limit and Dirac equation.
Main Results:
- The quantum walk reproduces the Dirac equation in the continuum limit.
- Probability distribution localizes near the "low energy" brane at large time steps.
- A geometric localization effect, controlled by a warp coefficient, is observed.
Conclusions:
- Quantum walks can effectively simulate high energy physics models.
- Localization in this model arises from geometry, not randomness.
- Establishes a link between quantum walks and geometric localization in physics.
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