A non-integrable quench from AdS/dCFT

Marius de Leeuw; Charlotte Kristjansen; Kasper E. Vardinghus

doi:10.1016/j.physletb.2019.134940

A non-integrable quench from AdS/dCFT

Marius de Leeuw, Charlotte Kristjansen, Kasper E. Vardinghus

Theoretical high energy, astroparticle and gravitational physics

6 Citations (Scopus)

5 Downloads (Pure)

Abstract

We study the matrix product state which appears as the boundary state of the AdS/dCFT set-up where a probe D7 brane wraps two two-spheres stabilized by fluxes. The matrix product state plays a dual role, on one hand acting as a tool for computing one-point functions in a domain wall version of N=4 SYM and on the other hand acting as the initial state in the study of quantum quenches of the Heisenberg spin chain. We derive a number of selection rules for the overlaps between the matrix product state and the eigenstates of the Heisenberg spin chain and in particular demonstrate that the matrix product state does not fulfil a recently proposed integrability criterion. Accordingly, we find that the overlaps can not be expressed in the usual factorized determinant form. Nevertheless, we derive some exact results for one-point functions of simple operators and present a closed formula for one-point functions of more general operators in the limit of large spin-chain length.

Original language	English
Article number	134940
Journal	Physics Letters B
Volume	798
Issue number	10
Number of pages	6
ISSN	0370-2693
DOIs	https://doi.org/10.1016/j.physletb.2019.134940
Publication status	Published - 10 Nov 2019

Keywords

AdS/CFT correspondence
Defect CFT
Probe branes
One-point functions
Matrix product states
Quantum quenches

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10.1016/j.physletb.2019.134940

1-s2.0-S0370269319306628-mainFinal published version, 301 KBLicence: CC BY

Cite this

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title = "A non-integrable quench from AdS/dCFT",

abstract = "We study the matrix product state which appears as the boundary state of the AdS/dCFT set-up where a probe D7 brane wraps two two-spheres stabilized by fluxes. The matrix product state plays a dual role, on one hand acting as a tool for computing one-point functions in a domain wall version of N=4 SYM and on the other hand acting as the initial state in the study of quantum quenches of the Heisenberg spin chain. We derive a number of selection rules for the overlaps between the matrix product state and the eigenstates of the Heisenberg spin chain and in particular demonstrate that the matrix product state does not fulfil a recently proposed integrability criterion. Accordingly, we find that the overlaps can not be expressed in the usual factorized determinant form. Nevertheless, we derive some exact results for one-point functions of simple operators and present a closed formula for one-point functions of more general operators in the limit of large spin-chain length.",

keywords = "AdS/CFT correspondence, Defect CFT, Probe branes, One-point functions, Matrix product states, Quantum quenches",

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T1 - A non-integrable quench from AdS/dCFT

AU - de Leeuw, Marius

AU - Kristjansen, Charlotte

AU - Vardinghus, Kasper E.

PY - 2019/11/10

Y1 - 2019/11/10

N2 - We study the matrix product state which appears as the boundary state of the AdS/dCFT set-up where a probe D7 brane wraps two two-spheres stabilized by fluxes. The matrix product state plays a dual role, on one hand acting as a tool for computing one-point functions in a domain wall version of N=4 SYM and on the other hand acting as the initial state in the study of quantum quenches of the Heisenberg spin chain. We derive a number of selection rules for the overlaps between the matrix product state and the eigenstates of the Heisenberg spin chain and in particular demonstrate that the matrix product state does not fulfil a recently proposed integrability criterion. Accordingly, we find that the overlaps can not be expressed in the usual factorized determinant form. Nevertheless, we derive some exact results for one-point functions of simple operators and present a closed formula for one-point functions of more general operators in the limit of large spin-chain length.

AB - We study the matrix product state which appears as the boundary state of the AdS/dCFT set-up where a probe D7 brane wraps two two-spheres stabilized by fluxes. The matrix product state plays a dual role, on one hand acting as a tool for computing one-point functions in a domain wall version of N=4 SYM and on the other hand acting as the initial state in the study of quantum quenches of the Heisenberg spin chain. We derive a number of selection rules for the overlaps between the matrix product state and the eigenstates of the Heisenberg spin chain and in particular demonstrate that the matrix product state does not fulfil a recently proposed integrability criterion. Accordingly, we find that the overlaps can not be expressed in the usual factorized determinant form. Nevertheless, we derive some exact results for one-point functions of simple operators and present a closed formula for one-point functions of more general operators in the limit of large spin-chain length.

KW - AdS/CFT correspondence

KW - Defect CFT

KW - Probe branes

KW - One-point functions

KW - Matrix product states

KW - Quantum quenches

U2 - 10.1016/j.physletb.2019.134940

DO - 10.1016/j.physletb.2019.134940

M3 - Journal article

SN - 0370-2693

VL - 798

JO - Physics Letters B

JF - Physics Letters B

IS - 10

M1 - 134940

ER -

A non-integrable quench from AdS/dCFT

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