Encoding a topological gauge theory on a ring-shaped Raman-coupled Bose gas
Year: 2026
Type: article
Abstract: Topological gauge theories constitute a framework for understanding strongly correlated quantum matter in terms of weakly interacting composite degrees of freedom. Their topological properties become evident when these theories are realized on a space of nontrivial topology. Here, we propose a scheme to realize a one-dimensional topological gauge theory, the so-called chiral BF theory, on a ring geometry. We obtain such a theory by dimensionally reducing Chern-Simons theory on a disk to the chiral BF theory defined on the ring. Then, we encode the theory into a Hamiltonian with a coupling between angular momentum and density, and we propose and numerically benchmark its realization in an optically dressed Bose gas confined in a ring-shaped trap. There, the topological properties of the underlying theory manifest themselves through a magnetic flux variable that is density dependent. We quantify such density-dependent magnetic flux in terms of the ground-state angular momentum and the chiral properties of the system through a Bogoliubov analysis. Our proposal enables the observation of topological features of the chiral BF theory that become manifest due to the nontrivial topology of the ring geometry.
Source: Physical Review Research
DOI: 10.1103/s8fh-wrmb
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,625
Funders: Ministerio de Ciencia, Innovación y Universidades, Centres de Recerca de Catalunya, Institut de Ciències Fotòniques, European Commission, Deutsche Forschungsgemeinschaft, Generalitat de Catalunya, Ministerio de Ciencia e Innovación, QuantERA, Agència de Gestió d'Ajuts Universitaris i de Recerca, Agencia Estatal de Investigación, European Social Fund
Awards: G103507813, G1105844351, G1124226719, G1175115578, G1188902550, G121809054, G143639328, G1455481585, G1855990336, G1938719665, G2038104832, G2064873908, G2066502545, G210041235, G2262748287, G2283151252, G2309174360, G2355262757, G2390397592, G2585926585, G2601397997, G2660406951, G2756433129, G279363373, G288263039, G3005324705, G300979063, G34346518, G3480869486, G3518538256, G3546882995, G3681454997, G4042783231, G4071968812, G425668148, G430777504, G4442677895, G4526231891, G464105488, G491712853, G4920849106, G5063675077, G5080475149, G5176082212, G5195188938, G5404395142, G5421974903, G546199279, FOR 2414: Artificial Gauge Fields and Interacting Topological Phases in Ultracold Atoms, G5635532810, G575169067, G5805502524, G5852091828, G586857820, G5877191848, QuantERA II ERA-NET Cofund in Quantum Technologies, G6218905885, G6433832396, G6552004136, G6570432730, G6656126374, G6708559605, G6731524417, G69051668, G704744937, G7084143925, G7391727506, G7579677060, G7604509605, G76072735, G7805626310, G7863371703, G7924758593, G8004996335, G8140380869, G8389516595, G846842501, G8497050386, G855730349, G8637226926, G8665153912, G8888022036, G897484643, G99296377
OpenAlex ID: W4414981766
