Please use this identifier to cite or link to this item: https://doi.org/10.1088/1367-2630/12/2/025017
Title: Entanglement at the quantum phase transition in a harmonic lattice
Authors: Rieper, E.
Anders, J.
Vedral, V. 
Issue Date: 26-Feb-2010
Citation: Rieper, E., Anders, J., Vedral, V. (2010-02-26). Entanglement at the quantum phase transition in a harmonic lattice. New Journal of Physics 12 : -. ScholarBank@NUS Repository. https://doi.org/10.1088/1367-2630/12/2/025017
Abstract: The entanglement properties of phase transition in a twodimensional harmonic lattice, similar to the one observed in recent ion trap experiments, are discussed for both finite number of particles and thermodynamical limit. We show that for the ground state at the critical value of the trapping potential, two entanglement measures, the negativity between two neighbouring sites and the block entropy for blocks of size 1, 2 and 3, change abruptly. Entanglement thus indicates quantum phase transitions in general, not only in the finite-dimensional case considered inWu et al (2004 Phys. Rev. Lett. 93 250404). Finally, we consider the thermal state and compare its exact entanglement with a temperature entanglement witness introduced in Anders (2008 Phys. Rev. A 77 062102). © IOP Publishing Ltd. and Deutsche Physikalische Gesellschaft.
Source Title: New Journal of Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/96483
ISSN: 13672630
DOI: 10.1088/1367-2630/12/2/025017
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