Entanglement and classical correlations at the doping-driven Mott
transition in the two-dimensional Hubbard model
- URL: http://arxiv.org/abs/2007.00562v2
- Date: Sat, 7 Nov 2020 18:28:04 GMT
- Title: Entanglement and classical correlations at the doping-driven Mott
transition in the two-dimensional Hubbard model
- Authors: C. Walsh, P. S\'emon, D. Poulin, G. Sordi, A.-M. S. Tremblay
- Abstract summary: We study the doped Hubbard model in two dimensions from the perspective of quantum information theory.
We find that upon varying doping these two entanglement-related properties detect the Mott insulating phase, the strongly correlated pseudogap phase, and the metallic phase.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Tools of quantum information theory offer a new perspective to characterize
phases and phase transitions in interacting many-body quantum systems. The
Hubbard model is the archetypal model of such systems and can explain rich
phenomena of quantum matter with minimal assumptions. Recent measurements of
entanglement-related properties of this model using ultracold atoms in optical
lattices hint that entanglement could provide the key to understanding open
questions of the doped Hubbard model, including the remarkable properties of
the pseudogap phase. These experimental findings call for a theoretical
framework and new predictions. Here we approach the doped Hubbard model in two
dimensions from the perspective of quantum information theory. We study the
local entropy and the total mutual information across the doping-driven Mott
transition within plaquette cellular dynamical mean-field theory. We find that
upon varying doping these two entanglement-related properties detect the Mott
insulating phase, the strongly correlated pseudogap phase, and the metallic
phase. Imprinted in the entanglement-related properties we also find the
pseudogap to correlated metal first-order transition, its finite temperature
critical endpoint, and its supercritical crossovers. Through this footprint we
reveal an unexpected interplay of quantum and classical correlations. Our work
shows that sharp variation in the entanglement-related properties and not
broken symmetry phases characterizes the onset of the pseudogap phase at finite
temperature.
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