Quantum correlations at infinite temperature: the dynamical Nagaoka effect

Abstract

Do quantum correlations play a role in high temperature dynamics of many-body systems? A common expectation is that thermal fluctuations lead to fast decoherence and make dynamics classical. In this paper, we provide a striking example of a single particle created in a featureless, infinite temperature spin bath which not only exhibits non-classical dynamics but also induces strong long-lived correlations between the surrounding spins. We study the non-equilibrium dynamics of a hole created in a fermionic or bosonic Mott insulator in the atomic limit, which corresponds to a degenerate spin system. In the absence of interactions, the spin correlations arise purely from quantum interference, and the correlations are both antiferromagnetic and ferromagnetic, in striking contrast to the equilibrium Nagaoka effect. These results are relevant for several condensed matter spin systems, and should be observable using state of the art bosonic or fermionic quantum gas microscopes.

10 pages, 5 figures; Supplementary Material (4 pages, 5 figures)

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Cited by in corpus (28)

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• Exploration of doped quantum magnets with ultracold atoms
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• Dynamical formation of a magnetic polaron in a two-dimensional quantum antiferromagnet
• Photo-induced nonequilibrium states in Mott insulators
• Coherent propagation of quasiparticles in topological spin liquids at finite temperature
• Nonequilibrium Hole Dynamics in Antiferromagnets: Damped Strings and Polarons
• Structure of Spin Correlations in High Temperature SU($N$) Quantum Magnets
• Dynamic process and Uhlmann process: Incompatibility and dynamic phase of mixed quantum states
• Quantum dynamics in one and two dimensions via recursion method
• Diagrammatic Monte Carlo procedure for the spin-charge transformed Hubbard model
• Polaronic mechanism of Nagaoka ferromagnetism in Hubbard models
• Phase-Sensitive Quantum Measurement without Controlled Operations
• Finite-Temperature Hole-Magnon Dynamics in an Antiferromagnet
• Dynamical signatures of thermal spin-charge deconfinement in the doped Ising model
• Correlation holes and slow dynamics induced by fractional statistics in gapped quantum spin liquids
• Single-hole spectra of Kitaev spin liquids: from dynamical Nagaoka ferromagnetism to spin-hole fractionalization
• Quantum generative model for sampling many-body spectral functions
• Equilibrium and non-equilibrium dynamics of a hole in a bilayer antiferromagnet
• Wave function and spatial structure of polarons in an antiferromagnetic bilayer
• Kinetic magnetism in the crossover between the square and triangular lattice Fermi-Hubbard models
• Charge dynamics in magnetically disordered Mott insulators
• Thermally induced localization of dopants in a 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
• Itinerant magnetism in Hubbard models with long-range interactions
• Exact nonequilibrium hole dynamics, magnetic polarons and string excitations in antiferromagnetic Bethe lattices