Mixed state entanglement in deformed field theory at finite temperature

Abstract

We study mixed state entanglement measures in a higher dimensional $T\bar{T}$ deformed field theory at finite temperature. The holographic dual is described by AdS${}_{d+1}$ black brane geometry with a finite cutoff. We compute the entanglement wedge cross section (EWCS), proposed to be dual to entanglement of purification (EoP) and holographic entanglement negativity (HEN) for strip like subsystems. The behavior of EWCS and HEN is studied across different regimes of temperature and deformation parameter. It is observed that the deformation and temperature exhibit similar effects on these two entanglement measures. Increasing the deformation leads to a decrease in the entanglement between the subsystems.

31 pages, 1 figures, published in PRD

References in corpus (27)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Entanglement negativity in quantum field theory
• Entanglement entropy of 2D conformal quantum critical points: hearing the shape of a quantum drum
• Deriving covariant holographic entanglement
• Finite temperature entanglement negativity in conformal field theory
• A Solvable Irrelevant Deformation of $Ad{S}_3/CF{T}_2$
• Some Aspects of Entanglement Wedge Cross-Section
• Sphere partition functions and cut-off AdS
• Comments on Holographic Entanglement Entropy in TT Deformed CFTs
• Background independent holographic dual to $T\bar{T}$ deformed CFT with large central charge in 2 dimensions
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Aspects of Hyperscaling Violating Geometries at Finite Cutoff
• Entanglement negativity, reflected entropy, and anomalous gravitation
• Delocalizing Entanglement of Anisotropic Black Branes
• Pole skipping and chaos in anisotropic plasma: a holographic study
• Temporal Entanglement Entropy as a probe of Renormalization Group Flow
• Holographic confining/deconfining gauge theories and entanglement measures with a magnetic field
• A holographic study of the characteristics of chaos and correlation in the presence of backreaction
• Holographic study of $T\bar{T}$ like deformed HV QFTs: holographic entanglement entropy
• Entanglement negativity in $\text{T}\bar{\text{T}}$-deformed CFT${}_2$s
• Entanglement and chaos near critical point in strongly coupled gauge theory
• Bounding entanglement wedge cross sections
• An alternative to purification in CFT
• Odd entanglement entropy in $\text{T}\bar{\text{T}}$ deformed CFT${}_2$s and holography
• Entanglement Negativity and Replica Symmetry Breaking in General Holographic States
• Holographic entanglement entropy and mutual information in deformed field theories at finite temperature

Cited by in corpus (2)

• Entanglement, defects, and $T\bar{T}$ on a black hole background
• Constraints from Entanglement Wedge Nesting for Holography at a Finite Cutoff