%0 Journal Article %1 Pielawa2012Frustrated %A Pielawa, Susanne %A Berg, Erez %A Sachdev, Subir %D 2012 %J Physical Review B %K cold\_atoms, ising %N 18 %R 10.1103/physrevb.86.184435 %T Frustrated quantum Ising spins simulated by spinless bosons in a tilted lattice: From a quantum liquid to antiferromagnetic order %U http://dx.doi.org/10.1103/physrevb.86.184435 %V 86 %X We study spinless bosons in a decorated square lattice with a near-diagonal tilt. The resonant subspace of the tilted Mott insulator is described by an effective Hamiltonian of frustrated quantum Ising spins on a non-bipartite lattice. This generalizes an earlier proposal for the unfrustrated quantum Ising model in one dimension which was realized in a recent experiment on ultracold \$^87\$Rb atoms in an optical lattice. Very close to diagonal tilt, we find a quantum liquid state which is continuously connected to the paramagnet. Frustration can be reduced by increasing the tilt angle away from the diagonal, and the system undergoes a transition to an antiferromagnetically ordered state. Using quantum Monte Carlo simulations and exact diagonalization, we find that for realistic system sizes the antiferromagnetic order appears to be quasi-one-dimensional; however, in the thermodynamic limit the order is two-dimensional.

@article{Pielawa2012Frustrated, abstract = {We study spinless bosons in a decorated square lattice with a near-diagonal tilt. The resonant subspace of the tilted Mott insulator is described by an effective Hamiltonian of frustrated quantum Ising spins on a non-bipartite lattice. This generalizes an earlier proposal for the unfrustrated quantum Ising model in one dimension which was realized in a recent experiment on ultracold \$^{87}\$Rb atoms in an optical lattice. Very close to diagonal tilt, we find a quantum liquid state which is continuously connected to the paramagnet. Frustration can be reduced by increasing the tilt angle away from the diagonal, and the system undergoes a transition to an antiferromagnetically ordered state. Using quantum Monte Carlo simulations and exact diagonalization, we find that for realistic system sizes the antiferromagnetic order appears to be quasi-one-dimensional; however, in the thermodynamic limit the order is two-dimensional.}, added-at = {2014-01-09T15:14:33.000+0100}, archiveprefix = {arXiv}, author = {Pielawa, Susanne and Berg, Erez and Sachdev, Subir}, biburl = {https://www.bibsonomy.org/bibtex/2be1f1e3ac50e88243cfe02882f849a3e/jaspervh}, citeulike-article-id = {10521280}, citeulike-linkout-0 = {http://arxiv.org/abs/1203.6653}, citeulike-linkout-1 = {http://arxiv.org/pdf/1203.6653}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/physrevb.86.184435}, day = 6, doi = {10.1103/physrevb.86.184435}, eprint = {1203.6653}, interhash = {5e221804bd7e9dc81553ca16a435d6c8}, intrahash = {be1f1e3ac50e88243cfe02882f849a3e}, issn = {1098-0121}, journal = {Physical Review B}, keywords = {cold\_atoms, ising}, month = nov, number = 18, posted-at = {2013-11-26 12:44:48}, priority = {2}, timestamp = {2014-01-09T15:14:33.000+0100}, title = {Frustrated quantum Ising spins simulated by spinless bosons in a tilted lattice: From a quantum liquid to antiferromagnetic order}, url = {http://dx.doi.org/10.1103/physrevb.86.184435}, volume = 86, year = 2012 }