Entanglement, fidelity and topological entropy in a quantum phase transition to topological order

Details Entanglement, fidelity and topological entropy in a quantum phase transition to topological order Entanglement, fidelity and topological entropy in a quantum phase transition to topological order

2007-04-30

arxiv.org/abs/0705.0026v2

Phys. Rev. B 77, 155111 (2008)

Physics

Quantum Physics

replaced with published version

Scientific paper

10.1103/PhysRevB.77.155111

We present a numerical study of a quantum phase transition from a spin-polarized to a topologically ordered phase in a system of spin-1/2 particles on a torus. We demonstrate that this non-symmetry-breaking topological quantum phase transition (TOQPT) is of second order. The transition is analyzed via the ground state energy and fidelity, block entanglement, Wilson loops, and the recently proposed topological entropy. Only the topological entropy distinguishes the TOQPT from a standard QPT, and remarkably, does so already for small system sizes. Thus the topological entropy serves as a proper order parameter. We demonstrate that our conclusions are robust under the addition of random perturbations, not only in the topological phase, but also in the spin polarized phase and even at the critical point.

Affiliated with

Also associated with

No associations

Rating

Entanglement, fidelity and topological entropy in a quantum phase transition to topological order does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Entanglement, fidelity and topological entropy in a quantum phase transition to topological order, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entanglement, fidelity and topological entropy in a quantum phase transition to topological order will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-297067