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Optomechanics-Based Quantum Estimation Theory for Collapse Models.

Marta Maria Marchese1, Alessio Belenchia2,3, Mauro Paternostro3

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Quantum parameter estimation reveals quantum resources enhance CSL model rate detection in non-equilibrium settings. This advantage vanishes under stationary conditions, guiding experimental collapse model assessments.

Keywords:
collapse modelsquantum metrologyquantum optomechaincs

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Area of Science:

  • Quantum mechanics
  • Quantum information theory
  • Condensed matter physics

Background:

  • Continuous Spontaneous Localization (CSL) models propose objective mechanisms for wave function collapse.
  • Assessing CSL models experimentally is crucial for understanding quantum-to-classical transitions.
  • Quantum parameter estimation provides a framework for high-precision measurements.

Purpose of the Study:

  • To investigate the utility of quantum parameter estimation for characterizing CSL model dynamics.
  • To explore the role of non-equilibrium conditions in enhancing CSL parameter estimation.
  • To identify optimal experimental strategies for detecting CSL effects.

Main Methods:

  • Application of quantum parameter estimation formalism to a massive mechanical system under CSL dynamics.
  • Analysis of estimation performance in both non-equilibrium and stationary conditions.
  • Comparison of quantum-enhanced estimation strategies with classical approaches.

Main Results:

  • Quantum correlations offer significant advantages for estimating the CSL-induced diffusion rate in non-equilibrium conditions.
  • The performance gap between quantum and classical estimation schemes disappears in stationary conditions.
  • The study highlights the sensitivity of quantum resources to CSL effects.

Conclusions:

  • Non-equilibrium conditions are essential for leveraging quantum resources to detect CSL effects.
  • The findings provide guidance for designing experiments to test collapse models.
  • This work advances the search for experimental signatures of quantum decoherence mechanisms.