Thermally induced localization of dopants in a magnetic spin ladder

Abstract

I unveil a novel variant of Anderson localization. This emergent phenomenon pertains to the motion of a dopant in a thermal spin lattice, rendered localized by thermal fluctuations. This is in stark contrast to the intrinsic origin of localization for quenched disorder. The system of interest consists of spin-$1/2$ particles organized in a two-leg ladder with nearest neighbor Ising interactions $J$. The motion of a hole -- the dopant -- is initialized by suddenly removing a spin from the thermal spin ensemble, which then moves along the ladder via nearest neighbor hopping $t$. I find that the hole remains \emph{localized} for all values of $J/t$ and for \emph{all} nonzero temperatures. The origin is an effective disorder potential seen by the hole and induced by thermal spin fluctuations. Its length scale is found to match with the underlying spin-spin correlation length at low temperatures. For ferromagnetic couplings ($J<0$), the associated localization length of the hole increases with decreasing temperature and becomes proportional to the correlation length at low temperatures, asymptotically delocalizing at low temperatures. For antiferromagnetic couplings ($J>0$), there is a smooth crossover between thermal localization at high temperatures to localization driven by the antiferromagnetic order at low temperatures. At infinite temperatures, the dynamics becomes independent of the sign of the spin coupling, whereby the localization length is a universal function of $|J|/t$, diverging as $(t/J{)}^2$ for $|J|\ll t$. Finally, I analyze a setup with Rydberg-dressed atoms, which naturally realizes finite range Ising interactions, accessible in current experimental setups. I show that the discovered localization phenomenon can be probed on experimentally accessible length- and timescales, providing a strong testing ground for my predictions.

arXiv comment14 pages, 6 pages

References in corpus (52)

• Correlated Electrons in High Temperature Superconductors
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Fermi-Hubbard physics with atoms in an optical lattice
• Three-dimensional Roton-Excitations and Supersolid formation in Rydberg-excited Bose-Einstein Condensates
• Metastability and Coherence of Repulsive Polarons in a Strongly Interacting Fermi Mixture
• Observation of Attractive and Repulsive Polarons in a Bose-Einstein Condensate
• Bose polarons in the strongly interacting regime
• Single-atom imaging of fermions in a quantum-gas microscope
• Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
• Dipolar physics: A review of experiments with magnetic quantum gases
• Many-body interferometry of a Rydberg-dressed spin lattice
• Ultrafast many-body interferometry of impurities coupled to a Fermi sea
• Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
• Bad metallic transport in a cold atom Fermi-Hubbard system
• Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
• Bose polarons near quantum criticality
• Imaging magnetic polarons in the doped Fermi-Hubbard model
• String patterns in the doped Hubbard model
• Universal many-body response of heavy impurities coupled to a Fermi sea
• Observation of canted antiferromagnetism with ultracold fermions in an optical lattice
• Subdiffusion and heat transport in a tilted 2D Fermi-Hubbard system
• Ultracold Dipolar Gases in Optical Lattices
• Spin dynamics in a one-dimensional ferromagnetic Bose gas
• Non-equilibrium quantum dynamics and formation of the Bose polaron
• Time-Resolved Observation of Spin-Charge Deconfinement in Fermionic Hubbard Chains
• Decoherence of Impurities in a Fermi Sea of Ultracold Atoms
• Quantum state engineering of a Hubbard system with ultracold fermions
• Competing magnetic orders in a bilayer Hubbard model with ultracold atoms
• Doublon-hole correlations and fluctuation thermometry in a Fermi-Hubbard gas
• Asymptotic quantum many-body localization from thermal disorder
• Coupling a mobile hole to an antiferromagnetic spin background: Transient dynamics of a magnetic polaron
• Site-resolved imaging of ultracold fermions in a triangular-lattice quantum gas microscope
• Angle-resolved photoemission spectroscopy of a Fermi-Hubbard system
• Strong pairing in mixed dimensional bilayer antiferromagnetic Mott insulators
• On the sign structure of doped Mott insulators
• Observation of magnon bound states in the long-range, anisotropic Heisenberg model
• Quantum correlations at infinite temperature: the dynamical Nagaoka effect
• Dynamical formation of a magnetic polaron in a two-dimensional quantum antiferromagnet
• Competing regimes of motion in 1D mobile impurities
• Dynamical properties of the one-dimensional spin-1/2 Bose-Hubbard model near Mott-insulator to ferromagnetic liquid transition
• One hole in the two-leg t-J ladder and adiabatic continuity to the non-interacting limit
• Life and death of the Bose polaron
• Quantum Walk in Degenerate Spin Environments
• Quasiparticle collapsing in an anisotropic $t$-$J$ ladder
• Nonequilibrium Hole Dynamics in Antiferromagnets: Damped Strings and Polarons
• Dynamics of a Mobile Impurity in a Two Leg Bosonic Ladder
• Localization in a $t$-$J$ type ladder with translational symmetry
• Dynamical signatures of thermal spin-charge deconfinement in the doped Ising model
• Exact dynamics of two holes in two-leg antiferromagnetic ladders
• Omnipresent bound state of two holes in antiferromagnetic Bethe lattices

Cited by in corpus (3)

• Dopant pairing in a disordered magnetic spin ladder
• Beyond fragmented dopant dynamics in quantum spin lattices: Robust localization and non-Gaussian diffusion
• Localized dopant motion across the 2D Ising phase transition