Objectivisation In Simplified Quantum Brownian Motion Models

Abstract

Birth of objective properties from subjective quantum world has been one of the key questions in the quantum-to-classical transition. Basing on recent results in the field, we study it in a quantum mechanical model of a boson-boson interaction-quantum Brownian motion. Using various simplifications we prove a formation for thermal environments of, so called, spectrum broadcast structures, responsible for perceived objectivity. In the quantum measurement limit we prove that this structure is always formed, providing the characteristic timescales. Including self-Hamiltonians of the environment, we show the exponential scaling of the effect with the size of the environment. Finally, in the full model we numerically study the influence of squeezing in the initial state of the environment, showing broader regions of formation than for non-squeezed thermal states.

Invited publication for the special issue "Quantum Optics and Quantum Information Processing" of Photonics

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• Generic emergence of objectivity of observables in infinite dimensions
• Quantum Darwinism and non-Markovian dissipative dynamics from quantum phases of the spin-1/2 XX model
• Non-Markovian polaron dynamics in a trapped Bose-Einstein condensate
• Dynamical Objectivity in Quantum Brownian Motion
• Objectivity (or lack there of): a comparison between predictions of quantum Darwinism and spectrum broadcast structure
• A Lindblad Model of Quantum Brownian Motion
• Decoherence of spin registers revisited
• Information transfer during the universal gravitational decoherence
• Analytical studies of Spectrum Broadcast Structures in Quantum Brownian Motion
• Redundant information encoding in QED during decoherence
• Refined diamond norm bounds on the emergence of objectivity of observables
• Decoherence, quantum Darwinism, and the generic emergence of our objective classical reality