Memory Formations in Non-equilibrium Quantum Brain Dynamics  Akihiro Nishiyama , Shigenori Tanaka; Jack A. Tuszynski (Graduate School of System Informatics, Kobe University, Kobe, Hyogo Japan)   C14

Quantum Brain Dynamics (QBD) is one of the hypotheses expected to describe memory in a brain. The QBD, quantum field theory of the brain, originated with the work by Ricciardi and Umezawa in 1967. Stuart, Takahashi, Umezawa, Del Giudice, Preparata, Vitiello, Jibu and Yasue et al. further developed the QBD. We adopt the concept of breakdown of symmetry (macroscopic order) with long-range correlation by massless Nambu-Goldstone modes to describe diversity, long-termed but imperfect stability, and non-locality of memory. Here, the QBD is nothing but Quantum Electrodynamics with water electric dipoles. However we have never seen non-equilibrium memory formation processes in QBD with thermal effects. Hence there is still criticism with respect to the decoherence phenomena at physiological temperature. The aim in this talk is to describe the equilibration processes for ordered memory states in QBD triggered by external inputs via microtubules. In this talk, we show numerical results in time evolutions of order parameters (coherent electric dipole fields and coherent electric fields) with Schrodinger-like equations and Klein-Gordon equations, and quantum fluctuations with the Kadanoff-Baym equations with thermal effects. It is possible to trace equilibration processes with energy conservation and entropy production. We describe how initial conditions (external inputs) affects equilibrium states at later times.