Quasiexact Kondo Dynamics of Fermionic Alkaline-Earth-Like Atoms at Finite Temperatures

Abstract

A recent experiment has observed the antiferromagnetic interaction between the ground state ${}^1{S}_0$ and the metastable state ${}^3{P}_0$ of ${}^{171}$Yb atoms, which are fermionic. This observation combined with the use of state-dependent optical lattices allows for quantum simulation of the Kondo model. We propose that in this Kondo simulator the anomalous temperature dependence of transport, namely the Kondo effect, can be detected through quench dynamics triggered by the shift of a trap potential. For this purpose, we improve the numerical efficiency of the minimally entangled typical thermal states (METTS) algorithm by applying additional Trotter gates. Using the improved METTS algorithm, we compute the quench dynamics of the one-dimensional Kondo model at finite temperatures quasi-exactly. We find that the center-of-mass motion exhibits a logarithmic suppression with decreasing the temperature, which is a characteristic feature of the Kondo effect.

6 pages, 5 figures (main text); 8 pages, 4 figures (supplemental material)

References in corpus (21)

• The density-matrix renormalization group in the age of matrix product states
• Unconventional pairing originating from disconnected Fermi surfaces in superconducting LaFeAsO${}_{1-x}$F${}_x$}
• Real time evolution using the density matrix renormalization group
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Exciton-polariton condensates
• Degenerate Fermi Gases of Ytterbium
• Minimally Entangled Typical Thermal State Algorithms
• Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
• Scrambling and thermalization in a diffusive quantum many-body system
• Two-color photoassociation spectroscopy of ytterbium atoms and the precise determinations of s-wave scattering lengths
• Localized magnetic moments with tunable spin exchange in a gas of ultracold fermions
• Interaction-controlled transport of an ultracold Fermi gas
• Phase-slip induced dissipation in an atomic Bose-Hubbard system
• Antiferromagnetic Interorbital Spin-Exchange Interaction of ${}^{171}$Yb
• Conductance scaling in Kondo correlated quantum dots: role of level asymmetry and charging energy
• Enhancing Kondo Coupling in Alkaline-Earth Atomic Gases with Confinement-induced Resonances in Mixed Dimensions
• Symmetric minimally entangled typical thermal states for canonical and grand-canonical ensembles
• Kondo Problems in Tomonaga-Luttinger liquids
• Finite temperature dynamical correlations for the dimerized spin-1/2 chain
• Cooling schemes for two-component fermions in layered optical lattices

Cited by in corpus (10)

• Finite-temperature density-matrix renormalization group method for electron-phonon systems: Thermodynamics and Holstein-polaron spectral functions
• Observation of spin-exchange dynamics between itinerant and localized ${}^{171}\mathrm{Yb}$ atoms
• Matrix product state approach for a quantum system at finite temperatures using random phases and Trotter gates
• Orbital ordering of ultracold alkaline-earth atoms in optical lattices
• Engineering the Kondo impurity problem with alkaline-earth atom arrays
• Quench dynamics of the Kondo effect: transport across an impurity coupled to interacting wires
• Asymmetric Conductivity of the Kondo Effect in Cold Atomic Systems
• Minimally entangled typical thermal states algorithm with Trotter gates
• Kondo Temperature Evaluated from Linear Conductance in Magnetic Fields
• Laser Manipulation of Spin-Exchange Interaction Between Alkaline-Earth Atoms in ${}^1$S${}_0$ and ${}^3$P${}_2$ States