Exact ground state of the sine-square deformed XY spin chain

Details Exact ground state of the sine-square deformed XY spin chain Exact ground state of the sine-square deformed XY spin chain

2011-04-09

arxiv.org/abs/1104.1721v2

J. Phys. A: Math. Theor. 44 (2011) 252001

Physics

Condensed Matter

Statistical Mechanics

10 pages

Scientific paper

10.1088/1751-8113/44/25/252001

We study the sine-square deformed quantum XY chain with open boundary conditions, in which the interaction strength at the position $x$ in the chain of length $L$ is proportional to the function $f_x = \sin^2 [\pi/L (x-1/2)]$. The model can be mapped onto a free spinless fermion model with site-dependent hopping amplitudes and on-site potentials via the Jordan-Wigner transformation. Although the single-particle eigenstates of this system cannot be obtained in closed form, it is shown that the many-body ground state is identical to that of the uniform XY chain with periodic boundary conditions. This proves a conjecture of Hikihara and Nishino [Hikihara T and Nishino T 2011 {\it Phys. Rev. B} \textbf{83} 060414(R)] based on numerical evidence.

Affiliated with

Also associated with

No associations

Rating

Exact ground state of the sine-square deformed XY spin chain 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 Exact ground state of the sine-square deformed XY spin chain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact ground state of the sine-square deformed XY spin chain will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-353500