TY - JOUR
T1 - Topological gauge fields and the composite particle duality
AU - Valentí-Rojas, Gerard
AU - Baker, Aneirin J.
AU - Celi, Alessio
AU - Öhberg, Patrik
N1 - Funding Information:
We warmly thank C. Oliver, G. Palumbo, and L. Tarruell for useful discussions. G.V.-R. acknowledges financial support from EPSRC CM-CDT Grant No. EP/L015110/1. A.J.B. acknowledges the support of EPSRC DTP grant EP/R513040/1. A.C. acknowledges financial support from MCIN/AEI/10.13039/501100011033 (LIGAS PID2020-112687GB-C22), from the Generalitat de Catalunya (2021 SGR 00138), and from the Universitat Autònoma de Barcelona Talent Research program.
Publisher Copyright:
© 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
PY - 2023/5/30
Y1 - 2023/5/30
N2 - We unveil a duality that extends the notions of both flux attachment and statistical transmutation in spacetime dimensions beyond (2+1)D. Thus, a quantum system in arbitrary dimensions can experience a modification of its statistical properties if coupled to a certain gauge field. For instance, a bosonic quantum fluid can feature composite fermionic (or anyonic) excitations when coupled to a statistical gauge field. We compute the explicit form of the aforementioned synthetic gauge fields in D≤3+1. We introduce a bosonic liquid and its composite dual in (1+1)D as proof of principle. We recover well-known results, resolve old controversies, and suggest a microscopic mechanism for the emergence of such a gauge field. We also outline potential directions for experimental realizations in ultracold atom platforms.
AB - We unveil a duality that extends the notions of both flux attachment and statistical transmutation in spacetime dimensions beyond (2+1)D. Thus, a quantum system in arbitrary dimensions can experience a modification of its statistical properties if coupled to a certain gauge field. For instance, a bosonic quantum fluid can feature composite fermionic (or anyonic) excitations when coupled to a statistical gauge field. We compute the explicit form of the aforementioned synthetic gauge fields in D≤3+1. We introduce a bosonic liquid and its composite dual in (1+1)D as proof of principle. We recover well-known results, resolve old controversies, and suggest a microscopic mechanism for the emergence of such a gauge field. We also outline potential directions for experimental realizations in ultracold atom platforms.
UR - http://www.scopus.com/inward/record.url?scp=85163389374&partnerID=8YFLogxK
U2 - 10.1103/PhysRevResearch.5.023128
DO - 10.1103/PhysRevResearch.5.023128
M3 - Article
AN - SCOPUS:85163389374
SN - 2643-1564
VL - 5
JO - Physical Review Research
JF - Physical Review Research
IS - 2
M1 - 023128
ER -