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In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
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Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots
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Renormalization in Periodically Driven Quantum Dots.

A K Eissing1, V Meden1, D M Kennes1

  • 1Institut für Theorie der Statistischen Physik, RWTH Aachen University and JARA-Fundamentals of Future Information Technology, 52056 Aachen, Germany.

Physical Review Letters
|January 30, 2016
PubMed
Summary
This summary is machine-generated.

Strong renormalization effects in driven quantum dots are revealed. Electron correlations tune driving amplitude, following a power law, enabling a non-Markovian quantum pump.

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Area of Science:

  • Condensed matter physics
  • Quantum optics
  • Mesoscopic systems

Background:

  • Periodically driven quantum systems exhibit complex behaviors.
  • Interactions in quantum dots influence electronic properties.
  • Non-adiabatic dynamics are crucial for understanding driven systems.

Purpose of the Study:

  • Investigate strong renormalization in driven interacting quantum dots.
  • Analyze the role of electron correlations on driving amplitude.
  • Develop a theoretical framework for non-adiabatic periodic driving.

Main Methods:

  • Renormalization-group approach adapted for periodic driving.
  • Analytical treatment of interacting resonant level.
  • Non-adiabatic regime analysis.

Main Results:

  • Observed strong renormalization effects.
  • Electron correlations enhance or suppress driving amplitude based on interaction sign.
  • Magnitude of renormalization follows a power law.

Conclusions:

  • The study provides analytical insights into driven quantum dot systems.
  • Correlations play a key role in modulating driving effects.
  • The proposed setup functions as a non-Markovian quantum pump.