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doi.org/10.1088/1742-5468/aab67d
13. V. Alba, S.N. Santalla, P. Ruggiero, J. Rodrıguez-Laguna, P. Calabrese, G. Sierra, Usual arealaw violation in random inhomogeneous systems. J. Stat. Mech. 2018 023105 (2019). https://
doi.org/10.1088/1742-5468/ab02df
14. N.S.S. de Buruaga, S.N. Santalla, J. Rodríguez-Laguna, G. Sierra, Symmetry protected phases
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1742-5468/ab3192
15. I. MacCormack, A. Liu, M. Nozaki, S. Ryu, Holographic duals of inhomogeneous systems:
the rainbow chain and the sine-square deformation model. arXiv:1812.10023
16. Y. Chen, G. Vidal, Entanglement contour. J. Stat. Mech. 2014, P10011 (2014). https://doi.org/
10.1088/1742-5468/2014/10/P10011
17. A. Botero, B. Reznik, Spatial structures and localization of vacuum entanglement in the
linear harmonic chain. Phys. Rev. A 70, 052329 (2004). https://doi.org/10.1103/PhysRevA.
70.052329
18. I. Frérot, T. Roscilde, Area law and its violation: a microscopic inspection into the structure
of entanglement and fluctuations. Phys. Rev. B 92, 115129 (2015). https://doi.org/10.1103/
PhysRevB.92.115129
19. A. Coser, C.D. Nobili, E. Tonni, A contour for the entanglement entropies in harmonic lattices.
J. Phys. A: Math. Theor. 50, 314001 (2017). https://doi.org/10.1088/1751-8121/aa7902
20. Q. Wen, Fine structure in holographic entanglement and entanglement contour. Phys. Rev. D
98, 106004 (2018). https://doi.org/10.1103/PhysRevD.98.106004
21. E. Tonni, Entanglement Hamiltonians and contours on a segment. Talk at the workshop It from
Qubit, Centro Atómico Bariloche (2018)
S. S. Roy et al.
References
1. R. Horodecki, P. Horodecki, M. Horodecki, K. Horodecki, Quantum entanglement. Rev. Mod.
Phys. 81, 865 (2009). https://doi.org/10.1103/RevModPhys.81.865
2. A. Osterloh, L. Amico, G. Falci, R. Fazio, Scaling of entanglement close to a quantum phase
transition. Nature 416, 608 (2002). https://doi.org/10.1038/416608a
3. T.J. Osborne, M.A. Nielsen, Entanglement in a simple quantum phase transition. Phys. Rev. A
66, 032110 (2002). https://doi.org/10.1103/PhysRevA.66.032110
4. L. Amico, R. Fazio, A. Osterloh, V. Vedral, Entanglement in many-body systems. Rev. Mod.
Phys. 80, 517 (2008). https://doi.org/10.1103/RevModPhys.80.517
5. M. Srenidcki, Entropy and area. Phys. Rev. Lett 71, 666 (1993). https://doi.org/10.1103/
PhysRevLett.71.666
6. J. Eisert, M. Cramer, M.B. Plenio, Colloquium: area laws for the entanglement entropy. Rev.
Mod. Phys. 82, 277 (2010). https://doi.org/10.1103/RevModPhys.82.277
7. M.M. Wolf, F. Verstraete, M.B. Hastings, J.I. Cirac, Area Laws in quantum systems: mutual
information and correlations. Phys. Rev. Lett. 100, 070502 (2008). https://doi.org/10.1103/
PhysRevLett.100.070502
8. G. Vitagliano, A. Riera, J.I. Latorre, Volume-law scaling for the entanglement entropy in spin
1/2 chains. New J. Phys. 12, 113049 (2010). https://doi:10.1088/1367-2630/12/11/113049
9. G. Ramírez, J. Rodríguez-Laguna, G. Sierra, From conformal to volume-law for the entanglement entropy in exponentially deformed critical spin 1/2 chains. J. Stat. Mech. 2014, P10004
(2014). https://doi.org/10.1088/1742-5468/2014/10/P10004
10. G. Ramírez, J. Rodríguez-Laguna, G. Sierra, Entanglement over the rainbow. J. Stat. Mech.
2015, P06002 (2015). https://doi.org/10.1088/1742-5468/2014/10/P10004
11. J. Rodríguez-Laguna, J. Dubail, G. Ramírez, P. Calabrese, G. Sierra, More on the rainbow
chain: entanglement, space-time geometry and thermal states. J. Phys. A: Math. Theor. 50,
164001 (2017). https://doi.org/10.1088/1751-8121/aa6268
12. E. Tonni, J. Rodríguez-Laguna, G. Sierra, Entanglement Hamiltonian and entanglement
contour in inhomogeneous 1D critical system. J. Stat. Mech. 2018, 043105 (2018). https://
doi.org/10.1088/1742-5468/aab67d
13. V. Alba, S.N. Santalla, P. Ruggiero, J. Rodrıguez-Laguna, P. Calabrese, G. Sierra, Usual arealaw violation in random inhomogeneous systems. J. Stat. Mech. 2018 023105 (2019). https://
doi.org/10.1088/1742-5468/ab02df
14. N.S.S. de Buruaga, S.N. Santalla, J. Rodríguez-Laguna, G. Sierra, Symmetry protected phases
in inhomogeneous spin chains. J. Stat. Mech. 2019, 093102 (2019). https://doi.org/10.1088/
1742-5468/ab3192
15. I. MacCormack, A. Liu, M. Nozaki, S. Ryu, Holographic duals of inhomogeneous systems:
the rainbow chain and the sine-square deformation model. arXiv:1812.10023
16. Y. Chen, G. Vidal, Entanglement contour. J. Stat. Mech. 2014, P10011 (2014). https://doi.org/
10.1088/1742-5468/2014/10/P10011
17. A. Botero, B. Reznik, Spatial structures and localization of vacuum entanglement in the
linear harmonic chain. Phys. Rev. A 70, 052329 (2004). https://doi.org/10.1103/PhysRevA.
70.052329
18. I. Frérot, T. Roscilde, Area law and its violation: a microscopic inspection into the structure
of entanglement and fluctuations. Phys. Rev. B 92, 115129 (2015). https://doi.org/10.1103/
PhysRevB.92.115129
19. A. Coser, C.D. Nobili, E. Tonni, A contour for the entanglement entropies in harmonic lattices.
J. Phys. A: Math. Theor. 50, 314001 (2017). https://doi.org/10.1088/1751-8121/aa7902
20. Q. Wen, Fine structure in holographic entanglement and entanglement contour. Phys. Rev. D
98, 106004 (2018). https://doi.org/10.1103/PhysRevD.98.106004
21. E. Tonni, Entanglement Hamiltonians and contours on a segment. Talk at the workshop It from
Qubit, Centro Atómico Bariloche (2018)