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

Elektroniikan ja nanotekniikan laitos

Tutkimustuotos: Lehtiartikkeli › Conference article › Scientific

Abstrakti

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.

Alkuperäiskieli	Englanti
Artikkeli	031
Sivumäärä	9
Julkaisu	Proceedings of Science
Vuosikerta	430
DOI - pysyväislinkit	https://doi.org/10.22323/1.430.0031
Tila	Julkaistu - 6 huhtik. 2023
OKM-julkaisutyyppi	B3 Vertaisarvioimaton artikkeli konferenssijulkaisussa
Tapahtuma	International Symposium on Lattice Field Theory - Bonn, Saksa Kesto: 8 elok. 2022 → 13 elok. 2022 Konferenssinumero: 39

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10.22323/1.430.0031Lisenssi: 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.

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U2 - 10.22323/1.430.0031

DO - 10.22323/1.430.0031

M3 - Conference article

AN - SCOPUS:85153254890

SN - 1824-8039

VL - 430

JO - Proceedings of Science

JF - 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

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