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Quantum walks in periodically kicked circuit QED lattice
Optics Express
|May 15, 2020
Summary
We studied quantum walks in a circuit quantum electrodynamics lattice. Stronger interactions and specific potentials can localize quantum walkers, observable via photon counts.
Area of Science:
- Quantum Physics
- Condensed Matter Physics
- Quantum Information
Background:
- Quantum walks are fundamental to quantum computation and simulation.
- Circuit Quantum Electrodynamics (cQED) lattices offer a platform for studying quantum dynamics.
- Understanding localization phenomena is crucial for controlling quantum systems.
Purpose of the Study:
- To investigate the quantum walks of a single particle in a 1D periodically kicked cQED lattice.
- To explore the influence of incommensurate potentials and driven periods on walker dynamics.
- To identify methods for observing localization effects in cQED systems.
Main Methods:
- Simulated quantum walks of a single particle.
- Calculated mean square displacement to analyze dynamic properties.
- Computed mean information entropy to assess interaction effects.
- Utilized lattice-based cavity input-output processes for observation.
Main Results:
- Quantum walker dynamics are significantly affected by incommensurate potentials and driven periods.
- Localization of the quantum walker exhibits a zero power-law index distribution.
- Next-nearest-neighbor interactions introduce deviations and stricter conditions for localization.
Conclusions:
- The study reveals key factors influencing quantum walker localization in cQED lattices.
- Localization phenomena can be experimentally observed by measuring steady-state photon numbers in a cavity.
- Findings provide insights into controlling quantum dynamics for potential applications.
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