تقرير
Entanglement in non-critical inhomogeneous quantum chains
| العنوان: | Entanglement in non-critical inhomogeneous quantum chains |
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| المؤلفون: | de Buruaga, Nadir Samos Sáenz, Santalla, Silvia N., Rodríguez-Laguna, Javier, Sierra, Germán |
| المصدر: | Phys. Rev. B 104, 195147 (2021) |
| سنة النشر: | 2021 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Strongly Correlated Electrons |
| الوصف: | We study an inhomogeneous critical Ising chain in a transverse field whose couplings decay exponentially from the center. In the strong inhomogeneity limit we apply Fisher's renormalization group to show that the ground state is formed by concentric singlets similar to those of the rainbow state of the XX model. In the weak inhomogeneity limit we map the model to a massless Majorana fermion living in a hyperbolic spacetime, where, using CFT techniques, we derive the entanglement entropy that is violated linearly. We also study an inhomogeneous non-critical Ising model that for weak inhomogeneity is mapped to a massive Majorana fermion, while for strong inhomogeneity regime it exhibits trivial and non-trivial topological phases and a separation between regions with high and low entanglement. We also present the entanglement Hamiltonian of the model. Comment: 18 pages, 11 figures, 6 appendices |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevB.104.195147 |
| الوصول الحر: | http://arxiv.org/abs/2107.12113Test |
| رقم الانضمام: | edsarx.2107.12113 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevB.104.195147 |
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