Many-Body Physics: From Kondo to Hubbard

Connecting single-layer $t$ - $J$ to Kondo lattice models: Exploration with cold atomsConnecting single-layer $t$-$J$ to Kondo lattice models: Exploration with cold atoms

Hannah Lange, Eugene Demler, Jan von Delft +2 more

The Kondo effect, a hallmark of many-body physics, emerges from the antiferromagnetic coupling between localized spins and conduction fermions, leading to a correlated many-body singlet state. Here we propose to use the mixed-dimensional (mixD) bilayer Hubbard geometry as a platform to study Kondo lattice physics with current ultracold atom experiments. At experimentally feasible temperatures, we predict that key features of the Kondo effect can be observed, including formation of the Kondo cloud around a single impurity and the competition of singlet formation with Ruderman-Kittel-Kasuya-Yosida (RKKY) interactions for multiple impurities, summarized in the Doniach phase diagram. Moreover, we show that the mixD platform provides a natural bridge between the Doniach phase diagram of the Kondo lattice model, relevant to heavy-fermion materials, and the phase diagram of cuprate superconductors as described by a single-layer Zhang-Rice type $t$ - $J$ model: It is possible to continuously tune between the two regimes by changing the interlayer Kondo coupling. Our findings demonstrate that the direct connection between high-temperature superconductivity and heavy-fermion physics can be experimentally studied using currently available quantum simulation platforms.The Kondo effect, a hallmark of many-body physics, emerges from the antiferromagnetic coupling between localized spins and conduction fermions, leading to a correlated many-body singlet state. Here we propose to use the mixed-dimensional (mixD) bilayer Hubbard geometry as a platform to study Kondo lattice physics with current ultracold atom experiments. At experimentally feasible temperatures, we predict that key features of the Kondo effect can be observed, including formation of the Kondo cloud around a single impurity and the competition of singlet formation with Ruderman-Kittel-Kasuya-Yosida (RKKY) interactions for multiple impurities, summarized in the Doniach phase diagram. Moreover, we show that the mixD platform provides a natural bridge between the Doniach phase diagram of the Kondo lattice model, relevant to heavy-fermion materials, and the phase diagram of cuprate superconductors as described by a single-layer Zhang-Rice type $t$-$J$ model: It is possible to continuously tune between the two regimes by changing the interlayer Kondo coupling. Our findings demonstrate that the direct connection between high-temperature superconductivity and heavy-fermion physics can be experimentally studied using currently available quantum simulation platforms.

cond-mat.quant-gasCross-listedarXiv:2512.09926Dec 11, 20250 citations

Controlling ultracold atoms in multi-band optical lattices for simulation of Kondo physics

L.-M. Duan

We show that ultracold atoms can be controlled in multi-band optical lattices through spatially periodic Raman pulses for investigation of a class of strongly correlated physics related to the Kondo problem. The underlying dynamics of this system is described by a spin-dependent fermionic or bosonic Kondo-Hubbard lattice model even if we have only spin-independent atomic collision interaction. We solve the bosonic Kondo-Hubbard lattice model through a mean-field approximation, and the result shows a clear phase transition from the ferromagnetic superfluid to the Kondo-singlet insulator at the integer filling.We show that ultracold atoms can be controlled in multi-band optical lattices through spatially periodic Raman pulses for investigation of a class of strongly correlated physics related to the Kondo problem. The underlying dynamics of this system is described by a spin-dependent fermionic or bosonic Kondo-Hubbard lattice model even if we have only spin-independent atomic collision interaction. We solve the bosonic Kondo-Hubbard lattice model through a mean-field approximation, and the result shows a clear phase transition from the ferromagnetic superfluid to the Kondo-singlet insulator at the integer filling.

arXiv:cond-mat/0310394Europhysics Letters (EPL)Aug 25, 200431 citations

Quantum many-body physics I: Introduction

Laurent Sanchez-Palencia

May 1, 20230 citations

Many-Body Physics from a Quantum Information Perspective

Remigiusz Augusiak, Fernando Cucchietti, Maciej Lewenstein

arXiv:1003.3153Lecture notes in physicsJan 1, 201225 citations

Many-body localization in generalized Kondo lattice with disorder

Ye Cao, Wei Zhang

Abstract We study the many-body localization transition in a one-dimensional generalized Kondo lattice, where a one-dimensional Hubbard chain with disordered spin-orbit coupling interacts with a fixed impurity of spin . Using exact diagonalization, we characterize the many-body localized transition with entanglement entropy and energy spectrum distribution. We find that although the subsystem of the impurity is free of disorder, it can still be localized in the spin space by the coupling with the Hubbard chain. We also investigate the out-of-time-order correlation in the many-body localized phase, and find distinctive features in comparison to either the thermal state or the Anderson localized state. Our scheme can be realized in experiments with ultracold fermions of alkaline-earth–like atoms near an orbital Feshbach resonance.Abstract We study the many-body localization transition in a one-dimensional generalized Kondo lattice, where a one-dimensional Hubbard chain with disordered spin-orbit coupling interacts with a fixed impurity of spin . Using exact diagonalization, we characterize the many-body localized transition with entanglement entropy and energy spectrum distribution. We find that although the subsystem of the impurity is free of disorder, it can still be localized in the spin space by the coupling with the Hubbard chain. We also investigate the out-of-time-order correlation in the many-body localized phase, and find distinctive features in comparison to either the thermal state or the Anderson localized state. Our scheme can be realized in experiments with ultracold fermions of alkaline-earth–like atoms near an orbital Feshbach resonance.

Europhysics Letters (EPL)Jan 1, 20202 citations

Connecting single-layer

t

J

to Kondo lattice models: Exploration with cold atoms

t

J

model: It is possible to continuously tune between the two regimes by changing the interlayer Kondo coupling. Our findings demonstrate that the direct connection between high-temperature superconductivity and heavy-fermion physics can be experimentally studied using currently available quantum simulation platforms.