Entropy perspective on the thermal crossover in a fermionic Hubbard chain

Lars Bonnes, Hannes Pichler, and Andreas M. Läuchli
Phys. Rev. B 88, 155103 – Published 2 October 2013

Abstract

We study the Renyi entropy in the finite-temperature crossover regime of a Hubbard chain using quantum Monte Carlo. The ground-state entropy has characteristic features such as a logarithmic divergence with block size and 2kF oscillations that are a hallmark of its Luttinger liquid nature. The interplay between the (extensive) thermal entropy and the ground-state features is studied and we analyze the temperature-induced decay of the amplitude of the oscillations as well as the scaling of the purity. Furthermore, we show how the spin and charge velocities can be extracted from the temperature dependence of the Renyi entropy, bridging our findings to recent experimental proposals on how to implement the measurement of Renyi entropies in the cold atom system. Studying the Renyi mutual information, we also demonstrate how constraints such as particle number conservation can induce persistent correlations visible in the mutual information even at high temperature.

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  • Received 2 May 2013

DOI:https://doi.org/10.1103/PhysRevB.88.155103

©2013 American Physical Society

Authors & Affiliations

Lars Bonnes1,*, Hannes Pichler1,2, and Andreas M. Läuchli1

  • 1Institute for Theoretical Physics, University of Innsbruck, A-6020 Innsbruck, Austria
  • 2Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, A-6020 Innsbruck, Austria

  • *lars.bonnes@uibk.ac.at

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Vol. 88, Iss. 15 — 15 October 2013

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