Quantum Pair Creation of Soliton Domain Walls

Abstract

A large body of experimental evidence suggests that the decay of the false vacuum, accompanied by quantum pair creation of soliton domain walls, can occur in a variety of condensed matter systems. Examples include nucleation of charge soliton pairs in density waves [eg. J. H. Miller, Jr. et al., Phys. Rev. Lett. 84, 1555 (2000)] and flux soliton pairs in long Josephon junctions. Recently, Dias and Lemos [J. Math. Phys. 42, 3292 (2001)] have argued that the mass $m$ of the soliton should be interpreted as a line density and a surface density, respectively, for (2+1)-D and (3+1)-D systems in the expression for the pair production rate. As the transverse dimensions are increased and the total mass (energy) becomes large, thermal activation becomes suppressed, so quantum processes can dominate even at relatively high temperatures. This paper will discuss both experimental evidence and theoretical arguments for the existence of high-temperature collective quantum phenomena.

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• Watching dark solitons decay into vortex rings in a Bose-Einstein condensate
• Pair Creation of Dilaton Black Holes
• Avalanches and the Renormalization Group for Pinned Charge-Density Waves
• On Quantum Mechanical Aspects of Microtubules
• The Three-Dimensional BTZ Black Hole as a Cylindrical System in Four-Dimensional General Relativity
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Cited by in corpus (6)

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• Correlated Quantum Transport of Density Wave Electrons
• Coherent quantum transport of charge density waves
• Towards Experimental Tests of Quantum Effects in Cytoskeletal Proteins
• A New S-S' Pair Creation Rate Expression Improving Upon Zener Curves for I-E Plots
• Making an analogy between a multi chain interaction in charge density wave transport and the use of wavefunctionals to form soliton- anti soliton pairs