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Resonances crossing in double-well quantum systems.

Andrea Sacchetti1

  • 1Department of Physics, Informatics and Mathematics, University of Modena e Reggio Emilia, Modena, Italy.

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Summary

Quantum resonances exhibit complex beating motions. This study introduces a criterion to distinguish resonance crossings, crucial for developing electric field quantum sensors.

Keywords:
quantum resonances for Schrödinger’s equationquantum sensors of a DC electric fieldresonant tunnellig effecttime decay of quantum systems

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Area of Science:

  • Quantum mechanics
  • Condensed matter physics

Background:

  • Double-well systems exhibit beating motion when energy levels align.
  • Quantum resonances introduce complexity with two types of resonance crossings (RCs).
  • Beating motion in quantum resonances is specific to one type of RC.

Purpose of the Study:

  • To develop a quantitative criterion for distinguishing between the two types of RCs.
  • To enable the design of quantum sensors for electric field detection.

Main Methods:

  • Analysis of quantum resonance behavior in the complex plane.
  • Development and application of a quantitative criterion to classify RCs.

Main Results:

  • Identified a specific criterion to differentiate between the two types of RCs.
  • Demonstrated that beating motion is exclusive to one type of RC.

Conclusions:

  • The developed criterion is essential for understanding quantum resonance phenomena.
  • This research facilitates the creation of heterostructure-based quantum sensors for precise electric field measurements.