Year: 2025
Type: article
Abstract: We investigate the phenomenon of Bose-Einstein condensation in ideal bosonic gases confined to axially symmetric surfaces of revolution. The single-particle Schr\"odinger equation is formulated on a general surface and then explicitly solved in the ellipsoidal and toroidal geometries to determine the one-body energy spectrum. We discuss how the curved geometry impacts the quantum statistical properties of ideal Bose gases confined on these surfaces. Specifically, we observe that Bose-Einstein condensation is suppressed when the surface aspect ratio is increased and, correspondingly, it becomes highly elongated and acquires a one-dimensional character. We also evaluate the Bogoliubov excitation spectrum, providing insights into the collective excitations of the condensate. Our results establish the conditions to achieve quantum degeneracy in curved manifolds, thus guiding forthcoming experiments with thin shells, and set the basis for solving the few-to-many body problem in general surfaces of revolution.
Source: Physical Review A
DOI: 10.1103/vxy6-skdq
Authors: Andrea Tononi, Gregory E. Astrakharchik
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funders: Centres de Recerca de Catalunya, Institut de Ciències Fotòniques, European Commission, Generalitat de Catalunya, Ministerio de Ciencia e Innovación, Barcelona Supercomputing Center, QuantERA, European Climate, Infrastructure and Environment Executive Agency, Horizon 2020 Framework Programme, HORIZON EUROPE Framework Programme, Agencia Estatal de Investigación, H2020 European Research Council, NextGenerationEU
Awards: G1049070721, G1171162939, G1175115578, G1188902550, G120905174, G121809054, G122542175, G1272927172, G1301776901, G1305139904, G1526731822, NExt level Quantum information processing for Science and Technology, G1605908383, G1650885681, G1848969253, G1855990336, G1908469581, G1990017007, Programmable Atomic Large-scale Quantum Simulation 2 - SGA1, G2064873908, G2092200808, G210041235, G2262748287, G2309174360, G2425719011, G2462415295, G2601397997, G2660406951, G2715161673, G2719595533, G2763573136, G279363373, G280048558, G2871827553, G2877376689, G2988934680, G3005324705, G300979063, G3022749744, G3203908756, G3241330029, G3427281961, G34346518, G3480869486, G3514304032, G3518538256, G3546882995, G356394092, G357246561, G363809202, G3681454997, G3690828678, G3723121148, G383311257, G396237826, G3976037732, G4042783231, G4073558495, G417969858, G4239348134, G425668148, G430777504, G4359800586, G4368799831, G4391008399, G4442677895, G4526231891, G4571205363, G4584677157, G464105488, G4727238542, G4856404060, G490073602, G4920849106, G5080475149, G5195188938, G526456201, G5271502856, G531036588, G5334593051, G5421974903, G575169067, G5800121100, G5845768719, QuantERA II ERA-NET Cofund in Quantum Technologies, G5922099756, G5987792135, G5989965532, G6166689270, G6344349169, G6482940084, G6552004136, G6656126374, G6674601499, G6743926034, G6835105602, G69051668, G6934145699, G7021218639, G702465783, G704744937, G7048927246, G7084143925, G7327758667, G7425137858, G745419941, G7596336062, G7613962116, G7615865815, G773280237, G8036564213, G8118709007, G8178315791, G8180681537, G8362900132, G8399508435, G848750135, G8546142835, G8637226926, Optical Topologic Logic, G8665153912, G8684520763, G8920660035, G8959349008, G897484643, G949909837, G99296377
OpenAlex ID: W4412973811