Quantum Entanglement and the Self-Trapping Transition in Polaronic Systems

Abstract

We revisit from a quantum-information perspective a classic problem of polaron theory in one dimension. In the context of the Holstein model we show that a simple analysis of quantum entanglement between excitonic and phononic degrees of freedom allows one to effectively characterize both the small and large polaron regimes as well as the crossover in between. The small (large) polaron regime corresponds to a high (low) degree of bipartite quantum entanglement between the exciton and the phonon cloud that clothes the exciton. Moreover, the self-trapping transition is clearly displayed by a sharp drop of exciton-phonon entanglement.

5 pages, 2 figures

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• Entanglement and Density Matrix of a Block of Spins in AKLT Model
• Entanglement dynamics of a two-qubit system coupled individually to Ohmic baths
• Entanglement-spectrum characterization of ground-state nonanalyticities in coupled excitation-phonon models
• Sub-Ohmic spin-boson model with off-diagonal coupling: Ground state properties
• Resonant energy transfer enhanced by off-diagonal exciton-phonon coupling
• A variational surface hopping algorithm for the sub-Ohmic spin-boson model
• Ground-state properties of the two-site Hubbard-Holstein model: an exact solution
• Density matrix of electrons coupled to phonons and the electron-phonon entanglement content of excited states
• The Fisher-Hartwig Formula and Generalized Entropies in XY Spin Chain
• Behavior of quantum entropies in polaronic systems