Objectivisation In Simplified Quantum Brownian Motion Models

Photonics

Jan Tuziemski¹ 

[1] Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, 80-233 Gdańsk, Poland; E-Mail:

关键词: decoherence;    quantum Brownian motion;    broadcasting;   

DOI  :  10.3390/photonics2010228

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.