SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations

Details SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations

2011-08-11

arxiv.org/abs/1108.2327v2

Phys. Rev. A 84, 043601 (2011)

Physics

Condensed Matter

Quantum Gases

19 pages, 13 figures and 2 tables; slightly revised version as published in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.84.043601

We investigate one dimensional SU$(N)$ Hubbard chains at zero temperature, which can be emulated with ultracold alkaline earth atoms, by using the density matrix renormalization group (DMRG), Bethe ansatz (BA), and bosonization. We compute experimental observables and use the DMRG to benchmark the accuracy of the Bethe ansatz for $N>2$ where the BA is only approximate. In the worst case, we find a relative error $\epsilon \lesssim 4%$ in the BA ground state energy for $N \leq 4$ at filling 1/N, which is due to the fact that BA improperly treats the triply and higher occupied states. Using the DMRG for $N \leq 4$ and the BA for large $N$, we determine the regimes of validity of strong- and weak-coupling perturbation theory for all values of $N$ and in particular, the parameter range in which the system is well described by a SU$(N)$ Heisenberg model at filling 1/N. We find this depends only weakly on $N$. We investigate the Berezinskii-Kosterlitz-Thouless phase transition from a Luttinger liquid to a Mott-insulator by computing the fidelity susceptibility and the Luttinger parameter $K_\rho$ at 1/N filling. The numerical findings give strong evidence that the fidelity susceptibility develops a minimum at a critical interaction strength which is found to occur at a finite positive value for $N>2$.

Affiliated with

Also associated with

No associations

Rating

SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations 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 SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-275094