Pointer States and Quantum Darwinism with Two-Body Interactions

Area of Science:

• Quantum physics
• Foundations of quantum mechanics
• Quantum information theory

Background:

• Quantum Darwinism explains how classical objectivity emerges from quantum mechanics.
• Existing research often focuses on specific models and stationary properties.
• Understanding the quantum-to-classical transition requires general criteria for Hamiltonians supporting classical reality.

Purpose of the Study:

• Identify general criteria for Hamiltonians to support classical reality.
• Investigate the conditions for perfect quantum Darwinism.
• Analyze the dynamics of classical objectivity emergence.

Main Methods:

• Categorization of N-qubit models with two-body interactions.
• Analysis of system-environment interaction separability.
• Investigation of intra-environmental interactions.
• Solving the dynamics of information scrambling and quantum correlations.

Main Results:

• Only Hamiltonians with separable system-environment interactions support a pointer basis.
• "Perfect" quantum Darwinism requires the absence of intra-environmental interactions.
• Information scrambling dynamics compete with the emergence of classical objectivity.

Conclusions:

• Separable system-environment interactions are necessary for classical reality in quantum systems.
• Absence of intra-environmental interactions is crucial for ideal quantum Darwinism.
• The interplay between information scrambling and quantum correlations influences the dynamical emergence of classical objectivity.