TY - JOUR

T1 - Maintaining supersolidity in one and two dimensions

AU - Poli, E.

AU - Bland, T.

AU - Politi, C.

AU - Klaus, L.

AU - Norcia, M. A.

AU - Ferlaino, F.

AU - Bisset, R. N.

AU - Santos, L.

N1 - Funding Information: We gratefully acknowledge useful discussions with Manfred Mark and the Innsbruck Erbium team. We acknowledge R. M. W. van Bijnen for developing the code for our eGPE and BdG simulations. Part of the computational results presented here have been achieved using the HPC infrastructure LEO of the University of Innsbruck. The experimental team is financially supported through an ERC Consolidator grant (RARE, Grant No. 681432), an NFRI grant (MIRARE, Grant No. OAW0600) of the Austrian Academy of Science, the QuantERA grant MAQS by the Austrian Science Fund FWF (Grant No I4391-N). L.S. and F.F. acknowledge the DFG/FWF (Grant No. FOR 2247/I4317-N36) and a joint-project grant from the FWF (Grant No. I4426, RSF/Russland 2019). L.S. acknowledges the funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy-EXC-2123 QuantumFrontiers, Grant No. 390837967. M.A.N. has received funding as an ESQ Postdoctoral Fellow from the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 801110 and the Austrian Federal Ministry of Education, Science and Research (BMBWF). We also acknowledge the Innsbruck Laser Core Facility, financed by the Austrian Federal Ministry of Science, Research and Economy.

PY - 2021/12/9

Y1 - 2021/12/9

N2 - We theoretically investigate supersolidity in three-dimensional dipolar Bose-Einstein condensates. We focus on the role of trap geometry in determining the dimensionality of the resulting droplet arrays, which range from one-dimensional to zigzag, through to two-dimensional supersolids in circular traps. Supersolidity is well established in one-dimensional arrays, and may be just as favorable in two-dimensional arrays provided that one appropriately scales the atom number to the trap volume. We develop a tractable variational model - which we benchmark against full numerical simulations - and use it to study droplet crystals and their excitations. We also outline how exotic ring and stripe states may be created with experimentally feasible parameters. Our work paves the way for future studies of two-dimensional dipolar supersolids in realistic settings.

AB - We theoretically investigate supersolidity in three-dimensional dipolar Bose-Einstein condensates. We focus on the role of trap geometry in determining the dimensionality of the resulting droplet arrays, which range from one-dimensional to zigzag, through to two-dimensional supersolids in circular traps. Supersolidity is well established in one-dimensional arrays, and may be just as favorable in two-dimensional arrays provided that one appropriately scales the atom number to the trap volume. We develop a tractable variational model - which we benchmark against full numerical simulations - and use it to study droplet crystals and their excitations. We also outline how exotic ring and stripe states may be created with experimentally feasible parameters. Our work paves the way for future studies of two-dimensional dipolar supersolids in realistic settings.

UR - http://www.scopus.com/inward/record.url?scp=85121863947&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.104.063307

DO - 10.1103/PhysRevA.104.063307

M3 - Article

VL - 104

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 6

M1 - 063307

ER -