Geometric entanglement from matrix product state representations
arXiv:1106.2110 · doi:10.1088/1367-2630/13/9/093041
Abstract
An efficient scheme to compute the geometric entanglement per lattice site for quantum many-body systems on a periodic finite-size chain is proposed in the context of a tensor network algorithm based on the matrix product state representations. It is systematically tested for three prototypical critical quantum spin chains, which belong to the same Ising universality class. The simulation results lend strong support to the previous claim [Q.-Q. Shi, R. Orús, J. O. Fjærestad, and H.-Q. Zhou, New J. Phys \textbf{12}, 025008 (2010); J.-M. Stéphan, G. Misguich, and F. Alet, Phys. Rev. B \textbf{82}, 180406R (2010)] that the leading finite-size correction to the geometric entanglement per lattice site is universal, with its remarkable connection to the celebrated Affleck-Ludwig boundary entropy corresponding to a conformally invariant boundary condition.
4+ pages, 3 figures
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- Finite-temperature fidelity and von Neumann entropy in the honeycomb spin lattice with quantum Ising interaction
- Variational determination of multi-qubit geometrical entanglement in NISQ computers
- Geometric entanglement and quantum phase transitions in two-dimensional quantum lattice models