دورية أكاديمية
Unusual area-law violation in random inhomogeneous systems
| العنوان: | Unusual area-law violation in random inhomogeneous systems |
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| المؤلفون: | Alba, Vincenzo, Santalla, Silvia N., Ruggiero, Paola, Rodríguez Laguna, Javier, Calabrese, Pasquale, Sierra, Germán |
| المساهمون: | Ministerio de Economía y Competitividad (España), European Commission |
| بيانات النشر: | IOP Science |
| سنة النشر: | 2019 |
| المجموعة: | Universidad Carlos III de Madrid: e-Archivo |
| مصطلحات موضوعية: | Disordered spin chains, Entanglement entropies, Entanglement in extended quantum systems, Spin chains, Ladders and planes, Density-matrix, Entanglement, Chain, Entropy, Física, Matemáticas |
| الوصف: | The discovery of novel entanglement patterns in quantum many- body systems is a prominent research direction in contemporary physics. Here we provide the example of a spin chain with random and inhomogeneous couplings that in the ground state exhibits a very unusual area-law violation. In the clean limit, i.e. without disorder, the model is the rainbow chain and has volume law entanglement. We show that, in the presence of disorder, the entanglement entropy exhibits a power-law growth with the subsystem size, with an exponent 1/2. By employing the strong disorder renormalization group (SDRG) framework, we show that this exponent is related to the survival probability of certain random walks. The ground state of the model exhibits extended regions of short-range singlets (that we term 'bubble' regions) as well as rare long range singlet ('rainbow' regions). Crucially, while the probability of extended rainbow regions decays exponentially with their size, that of the bubble regions is power law. We provide strong numerical evidence for the correctness of SDRG results by exploiting the free-fermion solution of the model. Finally, we investigate the role of interactions by considering the random inhomogeneous XXZ spin chain. Within the SDRG framework and in the strong inhomogeneous limit, we show that the above area-law violation takes place only at the free-fermion point of phase diagram. This point divides two extended regions, which exhibit volume-law and area-law entanglement, respectively. ; SNS has been supported by the Spanish grant No. FIS2015-66020-C2-1-P. JRL and GS have been supported by the Spanish grants No. FIS2015-69167-C2-1-P, QUITEMAD+S2013/ICE-2801 and SEV-2016-0597 of the "Centro de Excelencia Severo Ochoa" Programme. VA acknowledges support from the European Union's Horizon 2020 under the Marie Sklodowoska-Curie grant agreement No 702612 OEMBS. PC acknowledges support from ERC under Consolidator grant number 771536 (NEMO). Part of this work has been carried out during the workshop "Quantum paths" ... |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| تدمد: | 1742-5468 |
| العلاقة: | Comunidad de Madrid. S2013/ICE-2801; Gobierno de España. FIS2015-66020-C2-1-P; Gobierno de España. FIS2015-69167-C2-1-P; Gobierno de España. SEV-2016-0597; info:eu-repo/grantAgreement/EC/H2020/702612/OEMBS; info:eu-repo/grantAgreement/EC/H2020/771536/NEMO; Journal of Statistical Mechanics: Theory and Experiment, (Feb. 2019) 023105, pp. 1-43.; http://hdl.handle.net/10016/30223Test; https://doi.org/10.1088/1742-5468/ab02dfTest; 023105; 43; Journal of Statistical Mechanics: Theory and Experiment; 2019; AR/0000023275 |
| DOI: | 10.1088/1742-5468/ab02df |
| الإتاحة: | https://doi.org/10.1088/1742-5468/ab02dfTest http://hdl.handle.net/10016/30223Test |
| حقوق: | © 2019 IOP Publishing Ltd and SISSA Medialab srl ; open access |
| رقم الانضمام: | edsbas.B60C76C2 |
| قاعدة البيانات: | BASE |
| تدمد: | 17425468 |
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| DOI: | 10.1088/1742-5468/ab02df |