Curved spacetime from interacting gauge theories

Salvatore Butera, Niclas Westerberg, Daniele Faccio, Patrik Ohberg

Research output: Contribution to journalArticle

Abstract

Phonons in a Bose-Einstein condensate can be made to behave as if they propagate in curved spacetime by controlling the condensate flow speed. Seemingly disconnected to this, artificial gauge potentials can be induced in charge neutral atomic condensates by for instance coupling two atomic levels to a laser field. In this work, we connect these two worlds and show that synthetic interacting gauge fields, i.e. density-dependent gauge potentials, induce a non-trivial spacetime structure for the phonons. Whilst the creation of effective horizons for phonons solely depends on the flow speed of the condensate, this allows for the creation of new spacetime geometries which can be easily designed by tuning the transverse laser phase. By exploiting this new degree of freedom we show that effectively charged phonons in 2+1 dimensions can be simulated, which behave as if they move under the influence of both a gravitational and an electromagnetic field.

LanguageEnglish
Article number034002
JournalClassical and Quantum Gravity
Volume36
Issue number3
Early online date19 Dec 2018
DOIs
StatePublished - 14 Jan 2019

Fingerprint

gauge theory
phonons
condensates
Bose-Einstein condensates
lasers
horizon
electromagnetic fields
degrees of freedom
tuning
geometry

Keywords

  • analogue gravity
  • artificial gauge fields
  • Bose-Einstein condensate
  • effective charged phonons
  • effective spacetime

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

@article{8369990701174ba3997cdf566a932891,
title = "Curved spacetime from interacting gauge theories",
abstract = "Phonons in a Bose-Einstein condensate can be made to behave as if they propagate in curved spacetime by controlling the condensate flow speed. Seemingly disconnected to this, artificial gauge potentials can be induced in charge neutral atomic condensates by for instance coupling two atomic levels to a laser field. In this work, we connect these two worlds and show that synthetic interacting gauge fields, i.e. density-dependent gauge potentials, induce a non-trivial spacetime structure for the phonons. Whilst the creation of effective horizons for phonons solely depends on the flow speed of the condensate, this allows for the creation of new spacetime geometries which can be easily designed by tuning the transverse laser phase. By exploiting this new degree of freedom we show that effectively charged phonons in 2+1 dimensions can be simulated, which behave as if they move under the influence of both a gravitational and an electromagnetic field.",
keywords = "analogue gravity, artificial gauge fields, Bose-Einstein condensate, effective charged phonons, effective spacetime",
author = "Salvatore Butera and Niclas Westerberg and Daniele Faccio and Patrik Ohberg",
year = "2019",
month = "1",
day = "14",
doi = "10.1088/1361-6382/aaf9f6",
language = "English",
volume = "36",
journal = "Classical and Quantum Gravity",
issn = "0264-9381",
publisher = "IOP Publishing",
number = "3",

}

Curved spacetime from interacting gauge theories. / Butera, Salvatore; Westerberg, Niclas; Faccio, Daniele; Ohberg, Patrik.

In: Classical and Quantum Gravity, Vol. 36, No. 3, 034002, 14.01.2019.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Curved spacetime from interacting gauge theories

AU - Butera,Salvatore

AU - Westerberg,Niclas

AU - Faccio,Daniele

AU - Ohberg,Patrik

PY - 2019/1/14

Y1 - 2019/1/14

N2 - Phonons in a Bose-Einstein condensate can be made to behave as if they propagate in curved spacetime by controlling the condensate flow speed. Seemingly disconnected to this, artificial gauge potentials can be induced in charge neutral atomic condensates by for instance coupling two atomic levels to a laser field. In this work, we connect these two worlds and show that synthetic interacting gauge fields, i.e. density-dependent gauge potentials, induce a non-trivial spacetime structure for the phonons. Whilst the creation of effective horizons for phonons solely depends on the flow speed of the condensate, this allows for the creation of new spacetime geometries which can be easily designed by tuning the transverse laser phase. By exploiting this new degree of freedom we show that effectively charged phonons in 2+1 dimensions can be simulated, which behave as if they move under the influence of both a gravitational and an electromagnetic field.

AB - Phonons in a Bose-Einstein condensate can be made to behave as if they propagate in curved spacetime by controlling the condensate flow speed. Seemingly disconnected to this, artificial gauge potentials can be induced in charge neutral atomic condensates by for instance coupling two atomic levels to a laser field. In this work, we connect these two worlds and show that synthetic interacting gauge fields, i.e. density-dependent gauge potentials, induce a non-trivial spacetime structure for the phonons. Whilst the creation of effective horizons for phonons solely depends on the flow speed of the condensate, this allows for the creation of new spacetime geometries which can be easily designed by tuning the transverse laser phase. By exploiting this new degree of freedom we show that effectively charged phonons in 2+1 dimensions can be simulated, which behave as if they move under the influence of both a gravitational and an electromagnetic field.

KW - analogue gravity

KW - artificial gauge fields

KW - Bose-Einstein condensate

KW - effective charged phonons

KW - effective spacetime

UR - http://www.scopus.com/inward/record.url?scp=85060256980&partnerID=8YFLogxK

U2 - 10.1088/1361-6382/aaf9f6

DO - 10.1088/1361-6382/aaf9f6

M3 - Article

VL - 36

JO - Classical and Quantum Gravity

T2 - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 3

M1 - 034002

ER -