4.6 Article

Quantum-entanglement aspects of polaron systems

Journal

PHYSICAL REVIEW B
Volume 78, Issue 21, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.78.214301

Keywords

electron-phonon interactions; entropy; ground states; localised states; polarons; quantum entanglement; variational techniques

Funding

  1. Swiss National Science Foundation

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We describe quantum entanglement inherent to the polaron ground states of coupled electron-phonon (or, more generally, particle-phonon) systems based on a model comprising both local (Holstein-type) and nonlocal (Peierls-type) couplings. We study this model using a variational method supplemented by the exact numerical diagonalization on a system of finite size. By way of subsequent numerical diagonalization of the reduced density matrix, we determine the particle-phonon entanglement as given by the von Neumann and linear entropies. Our results are strongly indicative of the intimate relationship between the particle localization/delocalization and the particle-phonon entanglement. In particular, we find a compelling evidence for the existence of a nonanalyticity in the entanglement entropies with respect to the Peierls-coupling strength. The occurrence of such nonanalyticity-not accompanied by an actual quantum phase transition-reinforces analogous conclusion drawn in several recent studies of entanglement in the realm of quantum-dissipative systems. In addition, we demonstrate that the entanglement entropies saturate inside the self-trapped region where the small-polaron states are nearly maximally mixed.

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