# The 27th International Conference on Atomic Physics

17-22 July 2022
Royal Conservatory of Music, Toronto
America/Toronto timezone

## Quantum correlations in two-orbital ultracold atomic mixtures in one-dimensional optical lattices

Not scheduled
1h 30m
Abstract of recent or ongoing work (by remote / virtual participant) Degenerate gases, many-body physics, and quantum simulation

### Description

We theoretically study magnetic and orbital correlations in ultracold Fermi gases of alkaline-earth(-like) atoms in one-dimensional state-dependent optical lattices. In particular, with the calculated parameters in the two-orbital Hubbard model realized with ${}^{87}$Sr, ${}^{171}$Yb, and ${}^{173}$Yb atoms, we employ exact diagonalization and matrix product state approaches. We calculate spatial correlation functions in the spin and orbital sectors and construct effective diagrams in the space of variable densities of atomic components in different orbital states. We also examine antiferro-orbital and antiferromagnetic couplings in the strong-coupling limit. For small systems with the fixed number of particles, we study the evolution of correlation functions with temperature.

How will you attend ICAP-27? I am planning on virtual registration for online attendance Valeriia Bilokon

### Primary authors

Valeriia Bilokon (Karazin Kharkiv National University, National Science Center "Kharkiv Institute of Physics and Technology") Elvira Bilokon (Karazin Kharkiv National University, Akhiezer Institute for Theoretical Physics, NSC KIPT) Andrii Sotnikov (Karazin Kharkiv National University, Akhiezer Institute for Theoretical Physics, NSC KIPT) Agnieszka Cichy (Faculty of Physics, Adam Mickiewicz University) Mari Carmen Bañuls (Max Planck Institute of Quantum Optics)

### Presentation Materials

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