An open question: Are topological arguments helpful in setting initial conditions for transport problems and quantization criteria/ quantum computing for Density Wave physics?

TL;DR

This paper explores the potential of topological arguments to inform initial conditions and quantization criteria in density wave physics, with implications for quantum computing and phase transition modeling.

Contribution

It proposes using topological charge arguments to select coefficients in wavefunctionals and driven sine Gordon systems, linking them to false vacuum hypotheses and quantum switching phenomena.

Findings

Derived I-E curves match experimental Zenier curves.

Topological arguments suggest a first order phase transition.

Potential applications to quantum computing via quantum coherent phase evolution.

Abstract

We present derived I-E curves that match Zenier curves used to fit data experimentally with wavefunctionals congruent with the false vacuum hypothesis. The open question is whether the coefficients picked in both the wavefunctionals and the magnitude of the coefficients of the driven sine Gordon physical system should be picked by topological charge arguments that in principle appear to assign values that have a tie in with the false vacuum hypothesis first presented by Sidney Coleman. Our supposition is that indeed this is useful and that the topological arguments give evidence as to a first order phase transition which gives credence to the observed and calculated I-E curve as evidence of a quantum switching phenomena in density wave physics, one which we think with further development would have applications to quantum computing, via quantum coherent phase evolution, as outlined in this paper . This analysis is enhanced by a new phi to the fourth power field theory treatment of how to model field theory in real time evolution as given to the Author by Dr. Fred Cooper as part of a meeting in KITP, UCSB in early 2008