Rényi entanglement entropies for the compactified massless boson with open boundary conditions

Bastianello, Alvise

doi:10.1007/jhep10(2019)141

Cited by 12 publications

(41 citation statements)

References 88 publications

(176 reference statements)

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“…Such behaviour suggests this solution is dual to an infinitely thin spherical shell of charge at R 0 that at R → ∞ produces the EE of a Wilson line in the direct product of k fundamental representations. A similar divergent behaviour in the EE can also be found in boundary conformal field theories when the entangling region approaches the boundary [83][84][85][86].…”

Section: Jhep04(2021)153supporting

confidence: 70%

Holographic entanglement entropy of the Coulomb branch

Chalabi

Kumar

O’Bannon

et al. 2021

J. High Energ. Phys.

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We compute entanglement entropy (EE) of a spherical region in (3 + 1)-dimensional $$ \mathcal{N} $$ N = 4 supersymmetric SU(N) Yang-Mills theory in states described holographically by probe D3-branes in AdS5 × S5. We do so by generalising methods for computing EE from a probe brane action without having to determine the probe’s backreaction. On the Coulomb branch with SU(N) broken to SU(N − 1) × U(1), we find the EE monotonically decreases as the sphere’s radius increases, consistent with the a-theorem. The EE of a symmetric-representation Wilson line screened in SU(N − 1) also monotonically decreases, although no known physical principle requires this. A spherical soliton separating SU(N) inside from SU(N − 1) × U(1) outside had been proposed to model an extremal black hole. However, we find the EE of a sphere at the soliton’s radius does not scale with the surface area. For both the screened Wilson line and soliton, the EE at large radius is described by a position-dependent W-boson mass as a short-distance cutoff. Our holographic results for EE and one-point functions of the Lagrangian and stress-energy tensor show that at large distance the soliton looks like a Wilson line in a direct product of fundamental representations.

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Section: Jhep04(2021)153supporting

confidence: 70%

Holographic entanglement entropy of the Coulomb branch

Chalabi

Kumar

O’Bannon

et al. 2021

J. High Energ. Phys.

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“…In this appendix we determine the constant C α (25), which has been overlooked in the original reference Ref. [50]. Eq.…”

Section: Appendix D: the Constant Cαmentioning

confidence: 99%

“…We start by quoting a result from Ref. [50] Above, the definition of Φ ω is the same as in Eq. (24),the only difference being that we use the characteristic function of the interval attached to the boundary…”

Section: Appendix D: the Constant Cαmentioning

confidence: 99%

Entanglement entropies of inhomogeneous Luttinger liquids

Bastianello

Dubail

Stéphan

2020

J. Phys. A: Math. Theor.

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We develop a general framework to compute the scaling of entanglement entropy in inhomogeneous one-dimensional quantum systems belonging to the Luttinger liquid universality class. While much insight has been gained in homogeneous systems by making use of conformal field theory techniques, our focus is on systems for which the Luttinger parameter K depends on position, and conformal invariance is broken. An important point of our analysis is that contributions stemming from the UV cutoff have to be treated very carefully, since they now depend on position. We show that such terms can be removed either by considering regularized entropies specifically designed to do so, or by tabulating numerically the cutoff, and reconstructing its contribution to the entropy through the local density approximation. We check our method numerically in the spin-1/2 XXZ spin chain in a spatially varying magnetic field, and find excellent agreement. arXiv:1910.09967v1 [cond-mat.stat-mech]

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“…(35): as we already commented, states in the form(30) The diagrammatic representation of the terms in Eq (42)…”

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confidence: 86%

“…Above, N can be any real number, but later on we restrict to the case of integers N . In general, entanglement entropies are not easy to compute: apart from free systems [37], progresses can be made in critical systems taking advantage of conformal invariance [38,39] with extensions to out-of-equilibrium setups [33] and recently to inhomogeneous cases [40][41][42][43][44]. In particular, bringing a low-entanglement state out-of-equilibrium will result in the entanglement growing with time: a powerful method to describe (the scaling part of) the entanglement spreading is provided by the quasi-particle picture.…”

Section: Introductionmentioning

confidence: 99%

Entanglement spreading and quasiparticle picture beyond the pair structure

Bastianello

Collura

2020

SciPost Phys.

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The quasi-particle picture is a powerful tool to understand the entanglement spreading in many-body quantum systems after a quench. As an input, the structure of the excitations' pattern of the initial state must be provided, the common choice being pairwise-created excitations. However, several cases exile this simple assumption. In this work we investigate weakly-interacting to free quenches in one dimension. This results in a far richer excitations' pattern where multiplets with a larger number of particles are excited. We generalize the quasiparticle ansatz to such a wide class of initial states, providing a small-coupling expansion of the Renyi entropies. Our results are in perfect agreement with iTEBD numerical simulations.

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Rényi entanglement entropies for the compactified massless boson with open boundary conditions

Cited by 12 publications

References 88 publications

Holographic entanglement entropy of the Coulomb branch

Holographic entanglement entropy of the Coulomb branch

Entanglement entropies of inhomogeneous Luttinger liquids

Entanglement spreading and quasiparticle picture beyond the pair structure

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