Many-body correlations in one-dimensional optical lattices with alkaline-earth(-like) atoms
arXiv:2302.10854 · doi:10.1038/s41598-023-37077-1
Abstract
We explore the rich nature of correlations in the ground state of ultracold atoms trapped in state-dependent optical lattices. In particular, we consider interacting fermionic ytterbium or strontium atoms, realizing a two-orbital Hubbard model with two spin components. We analyze the model in one-dimensional setting with the experimentally relevant hierarchy of tunneling and interaction amplitudes by means of exact diagonalization and matrix product states approaches, and study the correlation functions in density, spin, and orbital sectors as functions of variable densities of atoms in the ground and metastable excited states. We show that in certain ranges of densities these atomic systems demonstrate strong density-wave, ferro- and antiferromagnetic, as well as antiferroorbital correlations.
arXiv comment8 pages, 5 figures
References in corpus (41)
- Many-Body Physics with Ultracold Gases
- The density-matrix renormalization group in the age of matrix product states
- Area laws for the entanglement entropy - a review
- A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- Efficient simulation of one-dimensional quantum many-body systems
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms
- DMRG and periodic boundary conditions: a quantum information perspective
- From density-matrix renormalization group to matrix product states
- Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
- Observation of two-orbital spin-exchange interactions with ultracold SU(N)-symmetric fermions
- Matrix product operator representations
- An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
- Ultracold Fermi Gases with Emergent SU(N) Symmetry
- Simulation of strongly correlated fermions in two spatial dimensions with fermionic Projected Entangled-Pair States
- Fermionic Projected Entangled Pair States
- Two-color photoassociation spectroscopy of ytterbium atoms and the precise determinations of s-wave scattering lengths
- Observation of an orbital interaction-induced Feshbach resonance in 173-Yb
- Fermionic multi-scale entanglement renormalization ansatz
- Localized magnetic moments with tunable spin exchange in a gas of ultracold fermions
- The Tensor Networks Anthology: Simulation techniques for many-body quantum lattice systems
- An ytterbium quantum gas microscope with narrow-line laser cooling
- Tensor Network Algorithms: a Route Map
- Phases of one-dimensional SU(N) cold atomic Fermi gases --from molecular Luttinger liquids to topological phases
- Probing the Kondo Lattice Model with Alkaline Earth Atoms
- Emergence of multi-body interactions in few-atom sites of a fermionic lattice clock
- Unitary circuits for strongly correlated fermions
- Tweezer-programmable 2D quantum walks in a Hubbard-regime lattice
- Site-resolved imaging of ytterbium atoms in a two-dimensional optical lattice
- Developments in the Tensor Network -- from Statistical Mechanics to Quantum Entanglement
- Multi-orbital and density-induced tunneling of bosons in optical lattices
- State-dependent optical lattices for the strontium optical qubit
- Flavour-selective localization in interacting lattice fermions via SU(N) symmetry breaking
- Phase diagrams of one-dimensional half-filled two-orbital SU(N) cold fermions systems
- Orbital-selective Mott transitions in a doped two-band Hubbard model with crystal field splitting
- Competing orders in the generalized Hund chain model at half-filling
- Observation of spin-exchange dynamics between itinerant and localized atoms
- Orbital ordering of ultracold alkaline-earth atoms in optical lattices
- Correlation-induced band suppression in the two-orbital Hubbard model
- Mott insulating state in a quarter-filled two-orbital Hubbard chain with different bandwidths