Kondo Length in Bosonic Lattices

Abstract

Motivated by the fact that the low-energy properties of the Kondo model can be effectively simulated in spin chains, we study the realization of the effect with bond impurities in ultracold bosonic lattices at half-filling. After presenting a discussion of the effective theory and of the mapping of the bosonic chain onto a lattice spin Hamiltonian, we provide estimates for the Kondo length as a function of the parameters of the bosonic model. We point out that the Kondo length can be extracted from the integrated real space correlation functions, which are experimentally accessible quantities in experiments with cold atoms.

20 pages, 4 .eps figures

References in corpus (19)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• The numerical renormalization group method for quantum impurity systems
• Stabilizing a purely dipolar quantum gas against collapse
• Homogeneous Atomic Fermi Gases
• Hidden order in 1D Bose insulators
• Rise and fall of hidden string order of lattice bosons
• Topological Kondo effect with Majorana fermions
• Mesoscopic Spin-Boson Models of Trapped Ions
• Quantum spins on star graphs and the Kondo model
• Kondo Effect in Spin Chains
• Thermodynamics of impurities in the anisotropic Heisenberg spin-1/2 chain
• Tunneling spectroscopy of Majorana-Kondo devices
• Thermodynamics of the Topological Kondo Model
• Screening Clouds and Majorana Fermions
• Enhanced Coherence of a Quantum Doublet Coupled to Tomonaga-Luttinger Liquid Leads
• Josephson current through a long quantum wire
• XXZ spin-1/2 representation of a finite-U Bose-Hubbard chain at half-integer filling
• Boundary Field Theory Approach to the Renormalization of SQUID Devices

Cited by in corpus (5)

• Lindblad equation approach to the optimal working point in nonequilibrium stationary states of an interacting electronic one-dimensional system: Application to the spinless Hubbard chain in the clean and in the weakly disordered limit
• Tunable Kondo screening length at a Y-junction of three inhomogenous spin chains
• Tunable spin/charge Kondo effect at a double superconducting island connected to two spinless quantum wires
• From Kondo effect to weak-link regime in quantum spin-1/2 spin chains
• Quench dynamics of the Kondo effect: transport across an impurity coupled to interacting wires