509 citations · 1.2k across the 12 of their papers we have counts for
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Universal adiabatic dynamics across a quantum critical point
Anatoli Polkovnikov
We study temporal behavior of a quantum system under a slow external perturbation, which drives the system across a second order quantum phase transition. It is shown that despite…
Effect of quantum fluctuations on the dipolar motion of Bose-Einstein condensates in optical lattices
Anatoli Polkovnikov, Daw-Wei Wang
We revisit dipolar motion of condensate atoms in one-dimensional optical lattices and harmonic magnetic traps including quantum fluctuations within the truncated Wigner approximati…
Evolution of the macroscopically entangled states in optical lattices
Anatoli Polkovnikov
We consider dynamics of boson condensates in finite optical lattices under a slow external perturbation which brings the system to the unstable equilibrium. It is shown that quantu…
Quantum corrections to the dynamics of interacting bosons: beyond the truncated Wigner approximation
Anatoli Polkovnikov
We develop a consistent perturbation theory in quantum fluctuations around the classical evolution of a system of interacting bosons. The zero order approximation gives the classic…