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Open AccessArticle

Objectivisation In Simplified Quantum Brownian Motion Models

Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, 80-233 Gdańsk, Poland
National Quantum Information Centre in Gdańsk, 81-824 Sopot, Poland
Institute of Theoretical Physics and Astrophysics, University of Gdańsk, 80-952 Gdansk, Poland
Author to whom correspondence should be addressed.
Photonics 2015, 2(1), 228-240;
Received: 14 January 2015 / Revised: 9 February 2015 / Accepted: 10 February 2015 / Published: 13 February 2015
(This article belongs to the Special Issue Quantum Optics and Quantum Information Processing)
PDF [2689 KB, uploaded 13 February 2015]


The birth of objective properties from the subjective quantum world has been one of the key questions in the quantum-to-classical transition. Based 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. View Full-Text
Keywords: decoherence, quantum Brownian motion, broadcasting decoherence, quantum Brownian motion, broadcasting

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Tuziemski, J.; Korbicz, J.K. Objectivisation In Simplified Quantum Brownian Motion Models. Photonics 2015, 2, 228-240.

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