Life-time and hierarchy of memory in the dissipative quantum model of brain

Abstract

In this report we will consider some recent developments of the quantum model of brain[1, 2, 3, 4] which include dissipative dynamics[5] and time dependent frequency of the electric dipole wave quanta (dwq)[6]. The dissipative quantum model of brain has been recently investigated[7] also in relation with the possibility of modeling neural networks exhibiting collective dynamics and long range correlations among the net units. The study of such a quantum dynamical features for neural nets is of course of great interest either in connection with computational neuroscience, either in connection with quantum computational strategies based on quantum evolution (quantum computation). On the other hand, further developments of the quantummodel of brain, on which here we do not report, show attractive features also related with the rôle of microtubules in brain activity[8, 9, 10]. In previous works[1, 2, 3, 5] it has been considered the case of time independent frequencies associated to each dwq. A more general case is the one where time dependent frequencies are also considered. Such a case is of course more appropriate to realistic situations where the dwq may undergo a number of fluctuating interactions with other quanta and then their characteristic frequency may accordingly change in time. The study of the dissipative model with time dependent frequency leads to a number of interesting new features some of which we will briefly discuss in the following. Let us first summarize few aspects of the quantum brain model. We remind that the observable specifying the ordered state is called the order parameter and acts as a macroscopic variable for the system. The order parameter is specific of the kind of symmetry into play and may thus be considered as a code specifying the vacuum or ground state of the system. The value of the order parameter is related with the density of condensed Goldstone bosons in the vacuum and specifies the phase of the system with relation to the considered symmetry. Since physical properties are different for different phases, also the value of the order parameter may be considered as a code number specifying the system state.

DOI: 10.1142/S0217979200001734

Extracted Key Phrases

Cite this paper

@inproceedings{Alfinito1999LifetimeAH, title={Life-time and hierarchy of memory in the dissipative quantum model of brain}, author={Eleonora Alfinito and Giuseppe Vitiello}, year={1999} }