دورية أكاديمية
Entanglement in correlated random spin chains, RNA folding and kinetic roughening
| العنوان: | Entanglement in correlated random spin chains, RNA folding and kinetic roughening |
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| المؤلفون: | Rodríguez Laguna, Javier, Santalla, Silvia N., Ramirez, Giovanni, Sierra, German |
| المساهمون: | Comunidad de Madrid, Ministerio de Economía y Competitividad (España) |
| بيانات النشر: | IOP Publishing Ltd |
| سنة النشر: | 2016 |
| المجموعة: | Universidad Carlos III de Madrid: e-Archivo |
| مصطلحات موضوعية: | Quantum disorder, Entanglement, RNA folding, Random spin chains, Disorder, Matemáticas |
| الوصف: | Average block entanglement in the 1D XX-model with uncorrelated random couplings is known to grow as the logarithm of the block size, in similarity to conformal systems. In this work we study random spin chains whose couplings present long range correlations, generated as gaussian fields with a power-law spectral function. Ground states are always planar valence bond states, and their statistical ensembles are characterized in terms of their block entropy and their bond-length distribution, which follow power-laws. We conjecture the existence of a critical value for the spectral exponent, below which the system behavior is identical to the case of uncorrelated couplings. Above that critical value, the entanglement entropy violates the area law and grows as a power law of the block size, with an exponent which increases from zero to one. Interestingly, we show that XXZ models with positive anisotropy present the opposite behavior, and strong correlations in the couplings lead to lower entropies. Similar planar bond structures are also found in statistical models of RNA folding and kinetic roughening, and we trace an analogy between them and quantum valence bond states. Using an inverse renormalization procedure we determine the optimal spin-chain couplings which give rise to a given planar bond structure, and study the statistical properties of the couplings whose bond structures mimic those found in RNA folding. ; We would like to thank J Cuesta for insights into the statistical mechanics of RNAfolding, and F Iglói and Z Zimborás for useful remarks. This work was funded by grants FIS-2012-33642 and FIS-2012-38866-C05-1,from the Spanish government, QUITEMAD+S2013/ICE-2801 from the Madrid regional government and SEV-2012-0249 of the ‘Centro de Excelencia Severo Ochoa’ Programme. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| تدمد: | 1367-2630 |
| العلاقة: | Gobierno de España. FIS-2012-33642; Gobierno de España. FIS-2012-38866-C05-1; Comunidad de Madrid. S2013/ICE-2801/QUITEMAD+; Rodríguez Laguna, J., Santalla, S.N., Ramírez, G. y Sierra, G. (2016). Entanglement in correlated random spin chains, RNA folding and kinetic roughening. New Journal of Physics, 18, 073025; http://hdl.handle.net/10016/28365Test; https://doi.org/10.1088/1367-2630/18/7/073025Test; New Journal of Physics; 18; AR/0000018131 |
| DOI: | 10.1088/1367-2630/18/7/073025 |
| الإتاحة: | https://doi.org/10.1088/1367-2630/18/7/073025Test http://hdl.handle.net/10016/28365Test |
| حقوق: | © 2016 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft ; Atribución 3.0 España ; http://creativecommons.org/licenses/by/3.0/esTest/ ; open access |
| رقم الانضمام: | edsbas.C2157D9B |
| قاعدة البيانات: | BASE |
Full Text Finder | تدمد: | 13672630 |
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| DOI: | 10.1088/1367-2630/18/7/073025 |