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Analytical results for a coagulation/decoagulation model on an inhomogeneous lattice
by Nicolas Crampe
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Submission summary
| Authors (as registered SciPost users): | Nicolas Crampé |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/1612.07036v2 (pdf) |
| Date accepted: | Feb. 14, 2017 |
| Date submitted: | Feb. 9, 2017, 1 a.m. |
| Submitted by: | Crampé, Nicolas |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| 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.
Published as SciPost Phys. 2, 006 (2017)