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Related Experiment Videos

Quantum stochastic resonance in symmetric systems.

I Goychuk1, P Hänggi

  • 1Institute of Physics, University of Augsburg, Universitätsstrasse 1, 86135 Augsburg, Germany.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
Summary

Quantum stochastic resonance (QSR) in two-level systems (TLS) is observed in unbiased systems above critical friction. QSR occurs for spectral power amplification when friction exceeds 1, and for signal-to-noise ratio amplification when friction exceeds 3/2.

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Area of Science:

  • Quantum physics
  • Condensed matter physics

Background:

  • Quantum stochastic resonance (QSR) is a phenomenon where a weak signal can be amplified by noise in nonlinear systems.
  • Two-level systems (TLS) coupled to heat baths are fundamental models in quantum thermodynamics and quantum information.

Purpose of the Study:

  • To investigate the occurrence of QSR in a two-level system (TLS) coupled to an Ohmic heat bath at low temperatures.
  • To determine the conditions under which QSR manifests in unbiased (symmetric) TLS.

Main Methods:

  • Theoretical analysis of a TLS coupled to an Ohmic heat bath.
  • Investigation of the spectral power amplification and output signal-to-noise ratio as measures of QSR.
  • Exploration of the role of the viscous friction parameter (alpha).

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Main Results:

  • Quantum stochastic resonance (QSR) is found to occur in symmetric (unbiased) two-level systems (TLS) when the viscous friction parameter (alpha) exceeds a critical value.
  • Spectral power amplification, indicative of QSR, is observed for all alpha > 1.
  • Output signal-to-noise ratio amplification, another measure of QSR, is observed only for alpha > 3/2.

Conclusions:

  • Contrary to common assumptions, QSR is not limited to biased systems and can occur in unbiased TLS under specific friction conditions.
  • The manifestation of QSR depends on the chosen measure, with spectral power amplification occurring at lower friction thresholds than signal-to-noise ratio amplification.