Correlations of mixed systems in confining backgrounds

Abstract

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.

52 pages, 48 figures, v3: Figures have been improved

References in corpus (20)

• On space of integrable quantum field theories
• Mimicking the QCD equation of state with a dual black hole
• A holographic model of deconfinement and chiral symmetry restoration
• Baryon Number-Induced Chern-Simons Couplings of Vector and Axial-Vector Mesons in Holographic QCD
• Generalized non-supersymmetric flux vacua
• Deformations of calibrated D-branes in flux generalized complex manifolds
• Confinement, Phase Transitions and non-Locality in the Entanglement Entropy
• Horizons cannot save the Landscape
• Shaping contours of entanglement islands in BCFT
• D-brane networks in flux vacua, generalized cycles and calibrations
• On complexity growth in massive gravity theories, the effects of chirality and more
• Replica Wormholes and Holographic Entanglement Negativity
• Holographic description of SCFT${}_5$ compactifications
• Complexity and Emergence of Warped ${\text{AdS}}_3$ Space-time from Chiral Liouville Action
• More on the SW-QNM correspondence
• Domain Wall AdS/QCD
• First Law and Quantum Correction for Holographic Entanglement Contour
• Cluster algebraic description of entanglement patterns for the BTZ black hole
• Floquet vacuum engineering: Laser-driven chiral soliton lattice in the QCD vacuum
• A simple description of holographic domain walls in confining theories -- extended hydrodynamics

Cited by in corpus (7)

• Holographic confining/deconfining gauge theories and entanglement measures with a magnetic field
• A quantum information perspective on meson melting
• Classical and quantum chaos of closed strings on a charged confining holographic background
• Non-Conformal Behavior of Holographic Entanglement Measures
• Encoded information of mixed correlations: the views from one dimension higher
• Chaos, Phase Transitions and Curvature Invariants of (rotating, warped, massive) BTZ Black Holes
• String amplitudes and mutual information in confining backgrounds: the partonic behavior