Quantum fidelity and quantum phase transitions in matrix product states

Details Quantum fidelity and quantum phase transitions in matrix product states Quantum fidelity and quantum phase transitions in matrix product states

2006-11-28

arxiv.org/abs/cond-mat/0611727v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 3 figures

Scientific paper

10.1103/PhysRevB.76.104420

Matrix product states, a key ingredient of numerical algorithms widely employed in the simulation of quantum spin chains, provide an intriguing tool for quantum phase transition engineering. At critical values of the control parameters on which their constituent matrices depend, singularities in the expectation values of certain observables can appear, in spite of the analyticity of the ground state energy. For this class of generalized quantum phase transitions we test the validity of the recently introduced fidelity approach, where the overlap modulus of ground states corresponding to slightly different parameters is considered. We discuss several examples, successfully identifying all the present transitions. We also study the finite size scaling of fidelity derivatives, pointing out its relevance in extracting critical exponents.

Affiliated with

Also associated with

No associations

Rating

Quantum fidelity and quantum phase transitions in matrix product states 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 Quantum fidelity and quantum phase transitions in matrix product states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum fidelity and quantum phase transitions in matrix product states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-372292