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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Localized end states in density modulated quantum wires and rings.

Suhas Gangadharaiah1, Luka Trifunovic, Daniel Loss

  • 1Department of Physics, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland.

Physical Review Letters
|May 1, 2012
PubMed
Summary

We found stable Tamm-Shockley bound states in quantum wires, which can host spin qubits. These states exhibit unique 4π Aharonov-Bohm periodicity, detectable in experiments.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Materials Science

Background:

  • Charge-density wave (CDW) gaps are crucial for understanding electronic properties in low-dimensional systems.
  • Periodic modulation of chemical potential can induce CDW gaps in quantum wires and rings.
  • Tamm-Shockley bound states are localized electronic states at the edges of materials.

Purpose of the Study:

  • Investigate the stability and properties of Tamm-Shockley bound states in finite quantum wires with CDW gaps.
  • Explore the potential of these bound states for applications in quantum computing, specifically as spin qubits.
  • Identify experimental signatures for detecting these novel electronic states.

Main Methods:

  • Theoretical study of finite quantum wires and rings with CDW gaps.
  • Analysis of Tamm-Shockley bound states stability against disorder and interactions.
  • Mapping low-energy physics to Jackiw-Rebbi equations for massive Dirac fermions.
  • Utilizing a continuum model to incorporate electron-electron interactions.

Main Results:

  • Tamm-Shockley bound states are stable against weak disorder and interactions in both discrete and continuum models.
  • Electron interactions increase the charge gap and enhance the localization of end states.
  • The system can function as a double quantum dot for hosting spin qubits via exchange interactions.
  • Predicted unusual 4π Aharonov-Bohm periodicity in spectrum and persistent current.

Conclusions:

  • Finite quantum wires with CDW gaps host robust Tamm-Shockley bound states.
  • These states offer a promising platform for developing spin qubits in a double quantum dot configuration.
  • Experimental detection is feasible through characteristic 4π Aharonov-Bohm oscillations.