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Simulating dynamical quantum Hall effect with superconducting qubits
- Publication Year :
- 2014
-
Abstract
- We propose an experimental scheme to simulate the dynamical quantum Hall effect and the related interaction-induced topological transition with a superconducting-qubit array. We show that a one-dimensional Heisenberg model with tunable parameters can be realized in an array of superconducting qubits. The quantized plateaus, which is a feature of the dynamical quantum Hall effect, will emerge in the Berry curvature of the superconducting qubits as a function of the coupling strength between nearest neighbor qubits. We numerically calculate the Berry curvatures of two-, four- and six-qubit arrays, and find that the interaction-induced topological transition can be easily observed with the simplest two-qubit array. Furthermore, we analyze some practical conditions in typical experiments for observing such dynamical quantum Hall effect.<br />9 pages, 6 figures, version accepted by PRA
- Subjects :
- Physics
Superconductivity
Quantum Physics
Condensed matter physics
Condensed Matter - Mesoscale and Nanoscale Physics
Heisenberg model
Condensed Matter - Superconductivity
FOS: Physical sciences
Quantum Hall effect
Condensed Matter::Mesoscopic Systems and Quantum Hall Effect
Atomic and Molecular Physics, and Optics
k-nearest neighbors algorithm
Superconductivity (cond-mat.supr-con)
Computer Science::Emerging Technologies
Quantum spin Hall effect
Qubit
Quantum mechanics
Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
Berry connection and curvature
Quantum Physics (quant-ph)
Superconducting quantum computing
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....4c49517f165f6503b8333109796dbd46