1207.3777 (Aditi Mitra)

Time-evolution and dynamical phase transitions at a critical time in a
system of one dimensional bosons after a quantum quench    [PDF]

Aditi Mitra

The time-evolution of one-dimensional bosons after a simultaneous interaction and commensurate lattice quench is studied using a renormalization group approach. As a consequence of the quench, the effective scaling dimension of the lattice potential is found to be time-dependent which has a crucial effect on the time-evolution of the system. For certain quench protocols a critical time is found at which the lattice potential goes from being irrelevant to relevant in the renormalization group sense leading to a dynamical phase transition where an order-parameter is exactly zero before the critical time, and nonzero after this time. Explicit results are presented for the time-evolution of the renormalized interaction parameter when the lattice potential is irrelevant at all times. When the lattice potential becomes relevant, results are presented for the time-evolution of the gap which may be tested experimentally via quantities such as the optical conductivity.

View original: http://arxiv.org/abs/1207.3777