Year: 2023
Type: article
Abstract: 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 $\text{D}\ensuremath{\le}3+1$. 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.
Source: Physical Review Research
Institutions: Heriot-Watt University, Universitat Autònoma de Barcelona
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,625
Awards: EPSRC Centre for Doctoral Training in Condensed Matter Physics: Renewal of the CM-DTC, G1175115578, DTP 2018-19 Heriot Watt University, G1858345700, G2064873908, G2262748287, G2281333282, G3005324705, G300979063, G3320050967, G34346518, G3480869486, G425668148, G4526231891, G5080475149, G6200043914, G69051668, G7084143925, G76072735, G7878594211
OpenAlex ID: W4381485789