Entanglement entropy with background gauge fields

Kim, Bom Soo

doi:10.1007/jhep08(2017)041

Cited by 7 publications

(27 citation statements)

References 25 publications

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“…Obtaining closed form analytically by summing over k with full generality is not feasible. The case with w = 0 has been throughly studied in various limits, such as the zero temperature limit and the large radius limit, in [13]. There we showed novel and interesting results.…”

Section: Rényi and Entanglement Entropies Are Continuous Across Dmentioning

confidence: 74%

“…We also note the corresponding thermal boundary condition is not modified in the presence of the gauge fields! With this we can construct the two point correlation functions in the presence of chemical potential µ and current source J following [17] [13]. We present this below, together with the Wilson loops contributions.…”

Section: Partition Function With Gauge Fieldsmentioning

confidence: 99%

“…This entanglement entropy is plotted in figure 3. Third, the high temperature limit can be also computed as in [13] using the S-duality relations of the Jacob function. The Jacobi function ϑ[ 1/2 1/2 ] = ϑ 1 and the η function in (32) turn into themselves under the S-duality transformation.…”

Section: 21mentioning

confidence: 99%

“…We generalize previous results in two different ways. First, we expand our previous results [12] [13] by including the contribution of the Wilson loops to the entropies in a coherent and systematic fashion using the Z n orbifold conformal field theories. Twist operators in Z n orbifold theories on torus had been well understood.…”

Section: Introductionmentioning

confidence: 95%

“…For an infinite system with a finite cut, they also have been shown to be independent of chemical potential in [11]. In recent papers [12] [13], we have constructed the general formulas for entanglement and the Rényi entropies for the 2 dimensional massless Dirac fermions in the presence of background gauge fields, the chemical potential and current source. These studies show various interesting results and we list some salient features.…”

Section: Introductionmentioning

confidence: 99%

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Entanglement entropy and Wilson loop

Kim

2019

Nuclear Physics B

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We study both entanglement and the Rényi entropies for the 2 dimensional massless Dirac fermions in the presence of topological Wilson loops, which are qualitatively different from those with a chemical potential and a current source. In the language of Z n orbifold theories, the Wilson loop is interpreted as an electric operator while the orbifold twist operator as a magnetic operator. Generalized topological transitions for the entropies are driven by both electric and magnetic parameters via the restriction on the operator's conformal weight. By adapting different normalizations for different topological sectors, we achieve two goals: entanglement entropy can be obtained with a smooth limit from the Rényi entropy, and the entropies are continuous across the different topological sectors that include general Wilson loops winding sectors. We provide exact results for the entropies in infinite space, which depend only on the topological Wilson loops, independent of the chemical potential and the current source.

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Section: Rényi and Entanglement Entropies Are Continuous Across Dmentioning

confidence: 74%

Section: Partition Function With Gauge Fieldsmentioning

confidence: 99%

Section: 21mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

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Entanglement entropy and Wilson loop

Kim

2019

Nuclear Physics B

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Aspects of quantum information in finite density field theory

Daguerre

Medina

Solís

et al. 2021

J. High Energ. Phys.

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We study different aspects of quantum field theory at finite density using methods from quantum information theory. For simplicity we focus on massive Dirac fermions with nonzero chemical potential, and work in 1 + 1 space-time dimensions. Using the entanglement entropy on an interval, we construct an entropic c-function that is finite. Unlike what happens in Lorentz-invariant theories, this c-function exhibits a strong violation of monotonicity; it also encodes the creation of long-range entanglement from the Fermi surface. Motivated by previous works on lattice models, we next calculate numerically the Renyi entropies and find Friedel-type oscillations; these are understood in terms of a defect operator product expansion. Furthermore, we consider the mutual information as a measure of correlation functions between different regions. Using a long-distance expansion previously developed by Cardy, we argue that the mutual information detects Fermi surface correlations already at leading order in the expansion. We also analyze the relative entropy and its Renyi generalizations in order to distinguish states with different charge and/or mass. In particular, we show that states in different superselection sectors give rise to a super-extensive behavior in the relative entropy. Finally, we discuss possible extensions to interacting theories, and argue for the relevance of some of these measures for probing non-Fermi liquids.

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QFT entanglement entropy, 2D fermion and gauge fields

Kim

2022

Physics Letters B

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Entanglement entropy with background gauge fields

Cited by 7 publications

References 25 publications

Entanglement entropy and Wilson loop

Entanglement entropy and Wilson loop

Aspects of quantum information in finite density field theory

QFT entanglement entropy, 2D fermion and gauge fields

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