SAMOP 2023 – scientific programme

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A: Fachverband Atomphysik

A 14: Ultra-cold Atoms, Ions and BEC II (joint session A/Q)

A 14.4: Talk

Wednesday, March 8, 2023, 12:00–12:15, F303

strongly-interacting bosons at 2D-1D dimensional crossover — •Hepeng Yao, Lorenzo Pizzino, and Thierry Giamarchi — DQMP, University of Geneva, 24 Quai Ernest-Ansermet, CH-1211 Geneva, Switzerland

Quantum gases at dimensional crossover exhibit fruitful physics which reflects fascinating properties of non-integer dimensions. While various fascinating researches have been carried out in the tight-binding limit [1,2], the smooth dimensional crossover for strongly-interacting ultracold bosons in continuous lattice, which is strongly adapted to current generation of experiments, is rarely studied. In this talk, I will present our study about strongly-interacting bosons under continuous potential at 2D-1D dimensional crossover [3]. Using quantum Monte Carlo calculations, we investigate this dimensional crossover by computing longitudinal and transverse superfluid fractions as well as the superfluid correlation as a function of temperature, interactions and potential. Especially, we find the correlation function evolves from a Berezinskii-Kosterlitz-Thouless (BKT) to Tomonaga-Luttinger liquid (TLL) type, with the coexistence of 2D and 1D behaviors appearing at the dimensional crossover. In the end, I will discuss the consequences of these findings for cold atomic experiments

[1]. M. Cazalilla, A. Ho, and T. Giamarchi, New Journal of Physics 8(8), 158 (2006)

[2]. G. Bollmark, N. Laflorencie, and A. Kantian, Phys. Rev. B 102, 195145 (2020)

[3]. H. Yao, L. Pizzino, T. Giamarchi, arXiv:2204.02240(2022)