Entanglement and quantum phase transition in the asymmetric Hubbard chain: density-matrix renormalization group calculations

Abstract

We study the ground state quantum phase transition by means of entanglement in the one-dimensional asymmetric Hubbard model with open boundary condition. The local entanglement between the middle two sites and the rest of the system, and the block entanglement between the left and right portions of the system, are calculated using the density-matrix renormalization group (DMRG) method. We find that the entanglement shows interesting scaling and singular behavior around the phase transition line.

9 pages, 17 figures. One figure is removed

References in corpus (9)

• Quantum Phase Transitions and Bipartite Entanglement
• Spin-1/2 fermions on spin-dependent optical lattices
• Single-Site Entanglement of Fermions at a Quantum Phase Transition
• Local Measures of Entanglement and Critical Exponents at Quantum Phase Transitions
• Local entanglement and quantum phase transition in 1D transverse field Ising model
• Segregation in the asymmetric Hubbard model
• Bosonization study of quantum phase transitions in the one-dimensional asymmetric Hubbard model
• Entanglement signatures of the quantum phase transition induced by a magnetic impurity in a superconductor
• Partial entropy in finite-temperature phase transitions