Optimization of Intrinsic Stochastic Resonance in Adaptive Newman–Watts Network of Channel Blocked Hodgkin–Huxley Neurons

In this paper, we study stochastic resonance (SR) induced by channel noise in adaptive weighted Newman–Watts networks of Hodgkin–Huxley neurons with channel blocking (CB). It is found that the intrinsic SR is dependent on adaptive coupling and is strongly enhanced when the changing rate of adaptive coupling is optimal, and this phenomenon is independent of sodium and potassium CB levels. As CB increases, the channel noise for SR decreases, but the strength of intrinsic SR nearly does not change in the presence of adaptive coupling, which is different from the case for fixed coupling. These results show that intrinsic SR can be enhanced and optimized by adaptive coupling, and CB's effect on the intrinsic SR can be reduced by adaptive coupling. This implies that adaptive coupling could more efficiently improve the time precision of information processing in neural systems.

ON THE FROZEN QCD COUPLING

The frozen QCD coupling is a parameter often used as an effective fixed coupling. It is supposed to mimic both the running coupling effects and the lack of knowledge of αs in the infrared region. Usually the value of the frozen coupling is fixed from the analysis of the experimental data. A novel way to define such coupling(s) independently of the experiments is presented. We argue that there are different frozen couplings which are used in the double-logarithmic (DL) and single-logarithmic (SL) approximations. They also differ for space- and time-like arguments. Our estimates are in a good agreement with the results available in the literature.

PROTECTED COMPUTATIONAL SUBSPACES OF COUPLED SUPERCONDUCTING QUBITS

We discuss the effect of low-frequency noise on interacting superconducting qubits in a fixed coupling scheme. By properly choosing operating conditions, within the adiabatic framework the systems develops two decoupled subspaces. The subspace where a SWAP operation takes place turns out to be resilient to low frequency fluctuations. The possibility to encode a single qubit in a protected two-physical-qubit system subspace is briefly discussed.

CONFINEMENT IN THE 3-DIMENSIONAL GROSS–NEVEU MODEL

We consider the N-components 3-dimensional massive Gross-Neveu model compactified in one spatial direction, the system being constrained to a slab of thickness L. We derive a closed formula for the effective renormalized L-dependent coupling constant in the large-N limit, using bag-model boundary conditions. For values of the fixed coupling constant in absence of boundaries λ ≥ λc ≃ 19.16, we obtain ultra-violet asymptotic freedom (for L → 0) and confinement for a length L(c) such that 2.07m-1 < L(c) ≲ 2.82m-1, m being the fermionic mass. Taking for m an average of the masses of the quarks composing the proton, we obtain a confining legth [Formula: see text] which is comparable with an estimated proton diameter.