01376nas a2200181 4500008003900000022001400039245006900053210006800122260000800190490000700198520083300205100002601038700002201064700001901086700001801105700002401123856004701147 2017 d a2469-995000aMagnetic phases of spin-1 lattice gases with random interactions0 aMagnetic phases of spin1 lattice gases with random interactions cjun0 v953 aA spin-1 atomic gas in an optical lattice, in the unit-filling Mott insulator (MI) phase and in the presence of disordered spin-dependent interaction, is considered. In this regime, at zero temperature, the system is well described by a disordered rotationally invariant spin-1 bilinear-biquadratic model. We study, via the density matrix renormalization group algorithm, a bounded disorder model such that the spin interactions can be locally either ferromagnetic or antiferromagnetic. Random interactions induce the appearance of a disordered ferromagnetic phase characterized by a nonvanishing value of the spin glass order parameter across the boundary between a ferromagnetic phase and a dimer phase exhibiting random singlet order. We also study the distribution of the block entanglement entropy in the different regions.1 aMcAlpine, Kenneth, D.1 aPaganelli, Simone1 aCiuchi, Sergio1 aSanpera, Anna1 aDe Chiara, Gabriele uhttp://grupsderecerca.uab.cat/giq/node/849