Synthesizing lattice structures in phase space

Lingzhen Guo, Michael Marthaler
2016 New Journal of Physics  
We consider a realistic model, i.e., ultracold atoms in a driven optical lattice, to realize phase space crystals [Phys. Rev. Lett. 111, 205303 (2013)]. The corresponding lattice structure in phase space is more complex and contains rich physics. A phase space lattice differs fundamentally from a lattice in real space, because its coordinate system, i.e., phase space, has a noncommutative geometry, which naturally provides an artificial gauge (magnetic) field. We study the behavior of the
more » ... havior of the quasienergy band structure as function of the artificial magnetic field and investigate the thermal properties. Synthesizing lattice structures in phase space is not only a new way to create artificial lattice in experiments but also provides a platform to study the intriguing phenomena of driven systems far away from equilibrium.
doi:10.1088/1367-2630/18/2/023006 fatcat:qqalldyvazhhdntm55dhwpw6bi