Zi Cai

Magnetic phases of bosons with synthetic spin-orbit coupling in optical lattices

We investigate magnetic properties in the superfluid and Mott-insulating states of two-component bosons with spin-orbit (SO) coupling in two-dimensional square optical lattices. The spin-independent hopping integral

Stable Fulde-Ferrell-Larkin-Ovchinnikov pairing states in 2D and 3D optical lattices

t

Quantum magnetism of bosons with synthetic gauge fields in one-dimensional optical lattices: A density-matrix renormalization-group study

and SO coupled one

Competing orders in the 2D half-filled SU(2N) Hubbard model through the pinning-field quantum Monte Carlo simulations.

\ensuremath{\lambda}

Quantum magnetic properties of theSU(2N)Hubbard model in the square lattice: A quantum Monte Carlo study

are fitted from band-structure calculations in the continuum, which exhibit oscillations with increasing SO coupling strength. The magnetic superexchange model is derived in the Mott-insulating state with one particle per site, characterized by the Dzyaloshinsky-Moriya interaction. In the limit of

Exotic phases of interacting p-band bosons

|\ensuremath{\lambda}|\ensuremath{\ll}|t|

Quantum Monte Carlo simulations of thermodynamic properties ofSU(2N)ultracold fermions in optical lattices

, we find a spin spiral Mott state whose pitch value is the same as that in the incommensurate superfluid state, while in the opposite limit

Quantum spinon oscillations in a finite one-dimensional transverse Ising model

|t|\ensuremath{\ll}|\ensuremath{\lambda}|

Phase-Sensitive Detection for Unconventional Bose-Einstein Condensations

, the ground state exhibits a

Universal long-time behavior of aperiodically driven interacting quantum systems

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