Environment induced time arrow and the Closed Time Path method

6th International Workshop DICE2012 Spacetime – Matter – Quantum Mechanics: From the Planck Scale to Emergent Phenomena

物理学;力学

Polonyi, Janos^1

Strasbourg University, High Energy Theory Group, CNRS-IPHC, 23 rue du Loess, 67037 Strasbourg Cedex 2, France^1

关键词: Classical mechanics;    Closed time paths;    Harmonic system;    Initial conditions;    Quantum system;    Quantum-classical;    Spontaneous symmetry breaking;    Thermodynamical;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/442/1/012072/pdf
DOI  :  10.1088/1742-6596/442/1/012072

学科分类：力学，机械学

来源: IOP

【 摘 要 】

It is shown in the framework of a harmonic system that the thermodynamical time arrow is induced by the environmental initial conditions in a manner similar to spontaneous symmetry breaking. The Closed Time Path formalism is introduced in classical mechanics to handle Green functions for initial condition problems by the action principle, in a systematic manner. The application of this scheme for quantum systems shows the common dynamical origin of the thermodynamical and the quantum time arrows. It is furthermore conjectured that the quantum-classical transition is strongly coupled.