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Two component quantum walk in one-dimensional lattice with hopping imbalance
Mrinal Kanti Giri1, Suman Mondal1, Bhanu Pratap Das2,3
1Department of Physics, Indian Institute of Technology, Guwahati, 781039, India.
Scientific Reports
|November 12, 2021
Summary
We studied two-component quantum walks, finding that interactions and hopping imbalance create distinct behaviors. Stronger interactions can lead to bound pairs or spatial separation, altering quantum walk dynamics.
Area of Science:
- Quantum physics
- Condensed matter physics
- Quantum information
Background:
- Quantum walks are fundamental tools for quantum computation and simulation.
- Two-component systems introduce complex interactions and dynamics.
- Understanding inter-component interactions is key to controlling quantum walk behavior.
Purpose of the Study:
- Investigate the effects of inter-component interaction strength and hopping imbalance on one-dimensional two-component quantum walks.
- Analyze how different initial states influence quantum walk dynamics.
- Characterize the transition from independent particle behavior to collective phenomena.
Main Methods:
- Theoretical analysis of a one-dimensional two-component quantum walk model.
- Simulation of quantum walk evolution for various initial states and interaction strengths.
- Examination of physical quantities including on-site density, correlation functions, and transmission coefficients.
Main Results:
- Weak interactions lead to independent quantum walks for particles starting on the same site.
- Stronger interactions result in bound pairs or spatial phase separation.
- Reflected and transmitted components are observed for particles starting on different sites, with interaction-dependent phase separation.
- Complete reflection occurs when particles start at opposite edges.
Conclusions:
- Inter-component interactions significantly modify quantum walk dynamics in a tunable manner.
- The interplay between interaction strength and initial state dictates emergent phenomena like bound states and spatial separation.
- This system offers a platform for exploring complex quantum correlations and transport phenomena.
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