Improved lattice method for determining entanglement measures in SU(N) gauge theories

Tobias Rindlisbacher; Niko Jokela; Arttu Pönni; Kari Rummukainen; Ahmed Salami

doi:10.22323/1.430.0031

Improved lattice method for determining entanglement measures in SU(N) gauge theories

Tobias Rindlisbacher
, Niko Jokela
, Arttu Pönni
, Kari Rummukainen
, Ahmed Salami

Department of Electronics and Nanoengineering

Research output: Contribution to journal › Conference article › Scientific

Abstract

The determination of entanglement measures in SU(N) gauge theories is a non-trivial task. With the so-called "replica trick", a family of entanglement measures, known as "Rényi entropies", can be determined with lattice Monte Carlo. Unfortunately, the standard implementation of the replica method for SU(N) lattice gauge theories suffers from a severe signal-to-noise ratio problem, rendering high-precision studies of Rényi entropies prohibitively expensive. In this work, we propose a method to overcome the signal-to-noise ratio problem and show some first results for SU(N) in 4 dimensions.

Original language	English
Article number	031
Number of pages	9
Journal	POS Proceedings of Science
Volume	430
DOIs	https://doi.org/10.22323/1.430.0031
Publication status	Published - 6 Apr 2023
MoE publication type	B3 Non-refereed conference publication
Event	International Symposium on Lattice Field Theory - Bonn, Germany Duration: 8 Aug 2022 → 13 Aug 2022 Conference number: 39

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10.22323/1.430.0031Licence: CC BY-NC-ND

http://hdl.handle.net/10138/354866

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title = "Improved lattice method for determining entanglement measures in SU(N) gauge theories",

abstract = "The determination of entanglement measures in SU(N) gauge theories is a non-trivial task. With the so-called {"}replica trick{"}, a family of entanglement measures, known as {"}R{\'e}nyi entropies{"}, can be determined with lattice Monte Carlo. Unfortunately, the standard implementation of the replica method for SU(N) lattice gauge theories suffers from a severe signal-to-noise ratio problem, rendering high-precision studies of R{\'e}nyi entropies prohibitively expensive. In this work, we propose a method to overcome the signal-to-noise ratio problem and show some first results for SU(N) in 4 dimensions.",

author = "Tobias Rindlisbacher and Niko Jokela and Arttu P{\"o}nni and Kari Rummukainen and Ahmed Salami",

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T1 - Improved lattice method for determining entanglement measures in SU(N) gauge theories

AU - Rindlisbacher, Tobias

AU - Jokela, Niko

AU - Pönni, Arttu

AU - Rummukainen, Kari

AU - Salami, Ahmed

N1 - Conference code: 39

PY - 2023/4/6

Y1 - 2023/4/6

N2 - The determination of entanglement measures in SU(N) gauge theories is a non-trivial task. With the so-called "replica trick", a family of entanglement measures, known as "Rényi entropies", can be determined with lattice Monte Carlo. Unfortunately, the standard implementation of the replica method for SU(N) lattice gauge theories suffers from a severe signal-to-noise ratio problem, rendering high-precision studies of Rényi entropies prohibitively expensive. In this work, we propose a method to overcome the signal-to-noise ratio problem and show some first results for SU(N) in 4 dimensions.

AB - The determination of entanglement measures in SU(N) gauge theories is a non-trivial task. With the so-called "replica trick", a family of entanglement measures, known as "Rényi entropies", can be determined with lattice Monte Carlo. Unfortunately, the standard implementation of the replica method for SU(N) lattice gauge theories suffers from a severe signal-to-noise ratio problem, rendering high-precision studies of Rényi entropies prohibitively expensive. In this work, we propose a method to overcome the signal-to-noise ratio problem and show some first results for SU(N) in 4 dimensions.

UR - https://www.scopus.com/pages/publications/85153254890

U2 - 10.22323/1.430.0031

DO - 10.22323/1.430.0031

M3 - Conference article

AN - SCOPUS:85153254890

SN - 1824-8039

VL - 430

JO - POS Proceedings of Science

JF - POS Proceedings of Science

M1 - 031

T2 - International Symposium on Lattice Field Theory

Y2 - 8 August 2022 through 13 August 2022

ER -

Improved lattice method for determining entanglement measures in SU(N) gauge theories

Abstract

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