Cluster algebraic description of entanglement patterns for the BTZ black hole

Boldis, Bercel; Lévay, Péter

doi:10.48550/arxiv.2108.10638

Cited by 2 publications

(2 citation statements)

References 42 publications

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“…Other tools and measures, such as balanced partial entanglement and the entanglement wedge cross section [55,56], entanglement contours [56,57], horocycles [58], lambda lengths of Penner [59,60], Holevo information [61], etc, could be employed for analyzing the entanglement pattern in these backgrounds.…”

Section: Other Measures and Applicationsmentioning

confidence: 99%

Correlations of mixed systems in confining backgrounds

Ghodrati

2022

Eur. Phys. J. C

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We show that the entanglement of purification and the critical distance between the two mixed systems is a powerful measure in probing the phase structures of QCD and confining backgrounds, as it can distinguish the scale of chiral symmetry breaking versus the scale of confinement/deconfinement phase transitions. For two symmetric strips with equal and finite width and infinite length, and in the background of several confining geometries, we numerically calculate the critical distance between them where the mutual information vanishes and show that this quantity can probe the very rich phase structures of these backgrounds. The geometries that we study here are AdS-soliton, Witten–Sakai–Sugimoto and deformed Sakai–Sugimoto, Witten-QCD, Klebanov–Strassler, Klebanov–Tseytlin, Klebanov–Witten, Maldacena–Nunez, Nunez–Legramandi metric, and Domain-Wall QCD model. For each background we also present the relation for the entanglement of purification. Finally, we show that the Crofton forms of these geometries also behave in a universal form where a “well” is being observed around the IR wall, and therefore for all confining backgrounds, the Crofton form would also be capable of distinguishing the confining versus conformal backgrounds as it is also a tool in the reconstruction of various bulk geometries.

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Section: Other Measures and Applicationsmentioning

confidence: 99%

Correlations of mixed systems in confining backgrounds

Ghodrati

2022

Eur. Phys. J. C

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“…So another interesting path is to study the pattern of entanglement using other measures such as balanced partial entanglement [43], entanglement contours [44], horocycles [45], lambda lengths of Penner [46]. Also works similar to [47] could be repeated for confining geometries, as their study has been done for the case of BTZ black hole where in that case they showed that the entanglement pattern would follow a C N −1 cluster algebra. So this could be repeated for our confining geometry cases and their behavior for each case could be examined.…”

Section: Calibrated Geometry and Bit Threads In Confining Geometriesmentioning

confidence: 99%

Correlations of mixed systems in confining backgrounds

Ghodrati

2021

Preprint

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We show that the entanglement of purification and the critical distance between the two mixed systems is a very powerful measure in probing phase structures of QCD and confining backgrounds as it can even distinguish the scale of chiral symmetry breaking versus the scale of confinement/deconfinement phase transitions. For two symmetric strips with equal and finite width and infinite length and in the background of several confining geometries, we numerically calculate the critical distance between them where the mutual information vanishes and show that this quantity can probe the very rich phase structures of these backgrounds. The geometries that we study here are AdS-soliton, Witten Sakai Sugimoto and deformed Sakai-Sugimoto, Witten-QCD, Klebanov-Strassler, Klebanov-Tseytlin, Klebanov-Witten, Maldacena-Nunez and Domain-Wall QCD model. For each background we also present the relation for the entanglement of purification. Finally, we show that the Crofton forms of these geometries also behave in a universal form where a well is being observed around the singularity point and therefore for all confining backgrounds, the Crofton form would also be capable of distinguishing the confining versus conformal backgrounds as it is also a tool in the reconstruction of various bulk geometries.

show abstract

Cluster algebraic description of entanglement patterns for the BTZ black hole

Cited by 2 publications

References 42 publications

Correlations of mixed systems in confining backgrounds

Correlations of mixed systems in confining backgrounds

Correlations of mixed systems in confining backgrounds

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