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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

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Emergence of Objectivity for Quantum Many-Body Systems.

Harold Ollivier¹

¹Institut National de Recherche en Informatique et en Automatique, 2 Rue Simone Iff, 75012 Paris, France.

Entropy (Basel, Switzerland)

|February 25, 2022

Summary

This summary is machine-generated.

Quantum many-body systems can achieve objectivity even without environmental decoherence. New conditions ensure classicality for observers accessing only system fragments, even with imperfect measurements.

Keywords:

decoherence many-body system quantum Darwinism quantum–classical transition

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Area of Science:

Quantum physics
Many-body systems
Foundations of quantum mechanics

Background:

Objectivity in quantum mechanics is typically linked to environmental decoherence.
Previous work established conditions for objectivity in pure states with ideal measurements.
Limited observer access to quantum systems poses a challenge to establishing objective reality.

Purpose of the Study:

To investigate the emergence of objectivity in quantum many-body systems without environmental decoherence.
To extend existing results to mixed states, generalized measurements (POVMs), and imperfect outcome recordings.
To establish conditions for full classicality for multiple observers with limited system access.

Main Methods:

Extension of Reidel's (2017) framework for objectivity.
Introduction of a novel condition on quantum states and measurements.
Analysis of quantum many-body system evolutions and measurement outcome redundancy.

Main Results:

Objectivity can emerge in isolated quantum many-body systems.
The framework is generalized to mixed states, POVMs, and imperfect imprints.
A new condition is introduced that guarantees full classicality for any number of observers.

Conclusions:

Emergence of objectivity is possible without environmental decoherence.
Redundant measurement outcomes in quantum many-body systems naturally lead to states satisfying the condition for classicality.
This work provides a new perspective on quantum objectivity and classical emergence.