Jacek Dziarmaga

TL;DR: The Quantum Ising model is an exactly solvable model of quantum phase transition and this Letter gives an exact solution when the system is driven through the critical point at a finite rate.

TL;DR: In this paper, the authors review recent theoretical work on two closely related issues: excitation of an isolated quantum condensed matter system driven adiabatically across a continuous quantum phase transition or a gapless phase and apparent relaxation of an excited system after a sudden quench of a parameter in its Hamiltonian.

TL;DR: In this article, the authors investigated the behavior of a quantum phase transition caused by a gradual turning off of the transverse bias field and derived the probability distribution for the number of kinks in a finite spin chain.

TL;DR: In this paper, the authors review recent theoretical work on two closely related issues: excitation of an isolated quantum condensed matter system driven adiabatically across a continuous quantum phase transition or a gapless phase and apparent relaxation of an excited system after a sudden quench of a parameter in its Hamiltonian.

TL;DR: In this paper, the authors studied the Bose-Hubbard model and showed that time-dependent correlations satisfy characteristic scaling relations that can be measured in optical lattices filled with cold atoms and investigated the buildup of correlations during fast and slow transitions using variational wave functions, dynamical Bogoliubov theory, Kibble-Zurek mechanism, and numerical simulations.