Path dependent scaling of geometric phase near a quantum multi-critical point

Details Path dependent scaling of geometric phase near a quantum multi-critical point Path dependent scaling of geometric phase near a quantum multi-critical point

2011-01-12

arxiv.org/abs/1101.2375v2

J. Stat. Mech. (2011) P03026

Physics

Condensed Matter

Statistical Mechanics

5 pages, 6 figures

Scientific paper

10.1088/1742-5468/2011/03/P03026

We study the geometric phase of the ground state in a one-dimensional transverse XY spin chain in the vicinity of a quantum multi-critical point. We approach the multi-critical point along different paths and estimate the geometric phase by applying a rotation in all spins about z-axis by an angle $\eta$. Although the geometric phase itself vanishes at the multi-critical point, the derivative with respect to the anisotropy parameter of the model shows peaks at different points on the ferromagnetic side close to it where the energy gap is a local minimum; we call these points `quasi-critical'. The value of the derivative at any quasi-critical point scales with the system size in a power-law fashion with the exponent varying continuously with the parameter $\alpha$ that defines a path, upto a critical value $\alpha = \alpha_{c}=2$. For $\alpha > \alpha_{c}$, or on the paramagnetic side no such peak is observed. Numerically obtained results are in perfect agreement with analytical predictions.

Affiliated with

Also associated with

No associations

Rating

Path dependent scaling of geometric phase near a quantum multi-critical point 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 Path dependent scaling of geometric phase near a quantum multi-critical point, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Path dependent scaling of geometric phase near a quantum multi-critical point will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-265309