Abstract
We study the nonequilibrium dynamics of one-dimensional Mott-insulating bosons in the presence of a tunable effective electric field which takes the system across a quantum critical point separating a disordered and a translation symmetry broken ordered phase. We provide an exact numerical computation of the residual energy , the log fidelity , the defect density , and the order parameter correlation function for a linear-in-time variation of with a rate . We discuss the temporal and spatial variation of these quantities for a range of and for finite system sizes as relevant to realistic experimental setups [J. Simon et al., Nature (London) 472, 307 (2011)]. We show that in finite-sized systems , , and obey Kibble-Zurek scaling, and suggest further experiments within this setup to test our theory.
- Received 2 February 2012
DOI:https://doi.org/10.1103/PhysRevB.85.100505
©2012 American Physical Society