aqora

Non-Equilibrium ϕ4 theory for networks: towards memory formations with quantum brain dynamics

Akihiro Nishiyama, Jack A. Tuszyński

Abstract We investigate the time evolution of quantum fields in neutral scalar ϕ 4 theory for open systems with the central region and the multiple reservoirs (networks) as a toy model of quantum field theory of the brain. First we investigate the Klein–Gordon (KG) equations and the Kadanoff–Baym (KB) equations in open systems in d + 1 dimensions. Next, we introduce the kinetic entropy current and provide the proof of the H-theorem for networks. Finally, we solve the KG and the KB equations numerically in spatially homogeneous systems in 1 + 1 dimensions. We find that decoherence, entropy saturation and chemical equilibration all occur during the time evolution in the networks. We also show how coherent field transfer takes place in the networks.Abstract We investigate the time evolution of quantum fields in neutral scalar ϕ 4 theory for open systems with the central region and the multiple reservoirs (networks) as a toy model of quantum field theory of the brain. First we investigate the Klein–Gordon (KG) equations and the Kadanoff–Baym (KB) equations in open systems in d + 1 dimensions. Next, we introduce the kinetic entropy current and provide the proof of the H-theorem for networks. Finally, we solve the KG and the KB equations numerically in spatially homogeneous systems in 1 + 1 dimensions. We find that decoherence, entropy saturation and chemical equilibration all occur during the time evolution in the networks. We also show how coherent field transfer takes place in the networks.

Journal of Physics CommunicationsMay 1, 20198 citations

Brain and quantum field theory

Yasushi Takahashi, Mari Jibu

Jan 1, 20040 citations

On the Dynamics of Phase Transitions in Relativistic Scalar Field Theory

Eric M. Howard

Abstract We study the Kibble–Zurek scaling dynamics and universal second order phase transitions in a relativistic scalar field theory in 1 + 1 dimensions. Using tensor networks techniques as a non-perturbative non-equilibrium numerical tool for quantum field theory, we perform an analysis of the formation of topological defects in a non-equilibrium quantum system, as a realistic analogue toy model of the formation of cosmological defects in the large-scale structure of the Early Universe.

Astronomy ReportsOct 1, 20210 citations

Quantum Brain Dynamics and Quantum Field Theory

Mari Jibu, Kunio Yasue

Sep 17, 20048 citations

Thermal Field Theory in Non-Equilibrium States

Conventional transport theory is not really applicable to non-equilibrium systems which exhibit strong quantum effects. We present two different approaches to overcome this problem. Firstly we point out how transport equations may be derived that incorporate a nontrivial spectral function as a typical quantum effect, and test this approach in a toy model of a strongly interacting degenerate plasma. Secondly we explore a path to include non-equilibrium effects into quantum field theory through momentum mixing transformations in Fock space. Although the two approaches are completely orthogonal, they lead to the same coherent conclusion. Dedicated to the memory of Hiroomi Umezawa, Friend and mentor, Who had the vision to unify Quantum field theory and statistical mechanics. GSI-Preprint 95-69 Invited contribution to the Umezawa Memorial Volume of Int.J.Mod.Phys. BConventional transport theory is not really applicable to non-equilibrium systems which exhibit strong quantum effects. We present two different approaches to overcome this problem. Firstly we point out how transport equations may be derived that incorporate a nontrivial spectral function as a typical quantum effect, and test this approach in a toy model of a strongly interacting degenerate plasma. Secondly we explore a path to include non-equilibrium effects into quantum field theory through momentum mixing transformations in Fock space. Although the two approaches are completely orthogonal, they lead to the same coherent conclusion. Dedicated to the memory of Hiroomi Umezawa, Friend and mentor, Who had the vision to unify Quantum field theory and statistical mechanics. GSI-Preprint 95-69 Invited contribution to the Umezawa Memorial Volume of Int.J.Mod.Phys. B

Jan 1, 19950 citations

15. Quantum Brain Dynamics and Quantum Field Theory

Mari Jibu, Kunio Yasue

Advances in consciousness researchSep 17, 20040 citations

Non-equilibrium ϕ4 theory in open systems as a toy model of quantum field theory of the brain

Related papers

Non-equilibrium ϕ4 theory in open systems as a toy model of quantum field theory of the brain

Related papers