Ground state entanglement and geometric entropy in the Kitaev's model

Simple item page
dc.creatorHamma, A.
dc.creatorIonicioiu, R.
dc.creatorZanardi, P.
dc.date2004-06-28
dc.date2005-02-28
dc.date.accessioned2026-07-07T06:10:03Z
dc.date.available2026-07-07T06:10:03Z
dc.descriptionWe study the entanglement properties of the ground state in Kitaev's model. This is a two-dimensional spin system with a torus topology and nontrivial four-body interactions between its spins. For a generic partition $(A,B)$ of the lattice we calculate analytically the von Neumann entropy of the reduced density matrix $ρ_A$ in the ground state. We prove that the geometric entropy associated with a region $A$ is linear in the length of its boundary. Moreover, we argue that entanglement can probe the topology of the system and reveal topological order. Finally, no partition has zero entanglement and we find the partition that maximizes the entanglement in the given ground state.
dc.description4 pages, one fig, ReVTeX 4; updated to the published version
dc.identifierhttps://arxiv.org/abs/quant-ph/0406202
dc.identifierhttp://arxiv.org/abs/quant-ph/0406202
dc.identifierPhys.Lett. A 337, 22 (2005)
dc.identifierdoi:10.1016/j.physleta.2005.01.060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92165
dc.subjectQuantum Physics
dc.titleGround state entanglement and geometric entropy in the Kitaev's model
dc.typetext

Files

Collections

arXiv