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Analytical results for a coagulation/decoagulation model on an inhomogeneous lattice

by Nicolas Crampe

Submission summary

As Contributors:	Nicolas Crampé
Arxiv Link:	https://arxiv.org/abs/1612.07036v2 (pdf)
Date accepted:	2017-02-14
Date submitted:	2017-02-09 01:00
Submitted by:	Crampé, Nicolas
Submitted to:	SciPost Physics
Academic field:	Physics
Specialties:	Condensed Matter Physics - Theory Mathematical Physics
Approach:	Theoretical

Abstract

We show that an inhomogeneous coagulation/decoagulation model can be mapped to a quadratic fermionic model via a Jordan-Wigner transformation. The spectrum for this inhomogeneous model is computed exactly and the spectral gap is described for some examples. We construct our inhomogeneous model from two different homogeneous models joined by one special bond (impurity). The homogeneous models we started with are the coagulation/decoagulation models studied previously using the Jordan-Wigner transformation.

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Published as SciPost Phys. 2, 006 (2017)

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