From locality to irregularity: Introducing local quenches in massive scalar field theory

Ageev, Dmitry S.; Belokon, Aleksandr I.; V., Pushkarev, Vasilii

doi:10.48550/arxiv.2205.12290

Cited by 3 publications

(3 citation statements)

References 51 publications

(59 reference statements)

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“…Besides the T T deformation, studying the free field theory with mass deformation is also interesting. In [30], authors showed the entanglement entropy of free fermions and scalars [51] with mass deformation matches the results from the holographic calculation, which suggests that the free field theory is useful for understanding the holography. Further, one can obtain the modular Hamiltonian and its flow by turning on an local operator in the path integral formalism in [32,55], as well as the time evolution of entanglement entropy for free fermion under the local bilinear operator deformation [60].…”

Section: Jhep09(2022)247mentioning

confidence: 65%

Entanglement entropy and modular Hamiltonian of free fermion with deformations on a torus

Liu

Sun

2022

J. High Energ. Phys.

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In this work, we perturbatively calculate the modular Hamiltonian to obtain the entanglement entropy in a free fermion theory on a torus with three typical deformations, e.g., $$ T\overline{T} $$ T T ¯ deformation, local bilinear operator deformation, and mass deformation. For $$ T\overline{T} $$ T T ¯ deformation, we find that the leading order correction of entanglement entropy is proportional to the expectation value of the undeformed modular Hamiltonian. As a check, in the high/low-temperature limit, the entanglement entropy coincides with that obtained by the replica trick in the literature. Following the same perturbative strategy, we obtain the entanglement entropy of the free fermion vacuum state up to second-order by inserting a local bilinear operator deformation in a moving mirror setting. In the uniformly accelerated mirror, the first-order and second-order correction of entanglement entropy vanishes in the late time limit. For mass deformation, we derive the entanglement entropy up to first-order deformation and comment on the second-order correction.

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Section: Jhep09(2022)247mentioning

confidence: 65%

Entanglement entropy and modular Hamiltonian of free fermion with deformations on a torus

Liu

Sun

2022

J. High Energ. Phys.

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“…in non-conformal field theories [9]. In CFT's that admit a gravity dual, such quenches are dual to an in-falling particle in the bulk.…”

Section: Jhep04(2023)028mentioning

confidence: 99%

Entanglement entropy of local gravitational quenches

David

Mukherjee

2023

J. High Energ. Phys.

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We study the time dependence of Rényi/entanglement entropies of locally excited states created by fields with integer spins s ≤ 2 in 4 dimensions. For spins 0, 1 these states are characterised by localised energy densities of a given width which travel as a spherical wave at the speed of light. For the spin 2 case, in the absence of a local gauge invariant stress tensor, we probe these states with the Kretschmann scalar and show they represent localised curvature densities which travel at the speed of light. We consider the reduced density matrix of the half space with these excitations and develop methods which include a convenient gauge choice to evaluate the time dependence of Rényi/entanglement entropies as these quenches enter the half region. In all cases, the entanglement entropy grows in time and saturates at log 2. In the limit, the width of these excitations tends to zero, the growth is determined by order 2s + 1 polynomials in the ratio of the distance from the co-dimension-2 entangling surface and time. The polynomials corresponding to quenches created by the fields can be organized in terms of their representations under the SO(2)T × SO(2)L symmetry preserved by the presence of the co-dimension 2 entangling surface. For fields transforming as scalars under this symmetry, the order 2s + 1 polynomial is completely determined by the spin.

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“…Their holographic dual involves a dynamical geometry that can be obtained from the back-reaction of a massive particle (or generally a bulk field), which is dual to that local operator [19]. In particular, entanglement evolution in these states has been studied extensively in the context of quantum quenches [20][21][22][23][24][25][26][27], scrambling [28,29], quantum chaos [30][31][32][33] as well as bulk reconstruction in AdS/CFT [34][35][36]. Certainly, this family provides very important and analytically tractable data points in the "spacetime from entanglement" program.…”

Section: Introductionmentioning

confidence: 99%

Entanglement and geometry from subalgebras of the Virasoro

Caputa¹,

Ge²

2022

Preprint

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In this work we study families of generalised coherent states constructed from SL(2,R) subalgebras of the Virasoro algebra in two-dimensional conformal field theories. We derive the energy density and entanglement entropy and discuss their equivalence with analogous quantities computed in locally excited states. Moreover, we analyze their dual, holographic geometries and reproduce entanglement entropies from the Ryu-Takayanagi prescription. Finally, we outline possible applications of this universal class of states to operator growth and inhomogeneous quenches.

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From locality to irregularity: Introducing local quenches in massive scalar field theory

Cited by 3 publications

References 51 publications

Entanglement entropy and modular Hamiltonian of free fermion with deformations on a torus

Entanglement entropy and modular Hamiltonian of free fermion with deformations on a torus

Entanglement entropy of local gravitational quenches

Entanglement and geometry from subalgebras of the Virasoro

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