2012/06/12 by Adolfo del Campo, Marek M. Rams, Wojciech H. Zurek · 2 citations
Physics and Astronomy · #Opinion Dynamics and Social Influence #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physrevlett.109.115703
published as Phys. Rev. Lett. 109, 115703 (2012) · 2 figures, 5 pages
arxiv created 2012/06/12 · openalex publication_date 2012/09/13 · arxiv updated 2012/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The dynamics of a quantum phase transition is inextricably woven with the formation of excitations, as a result of the critical slowing down in the neighborhood of the critical point. We design a transitionless quantum driving through a quantum critical point that allows one to access the ground state of the broken-symmetry phase by a finite-rate quench of the control parameter. The method is illustrated in the one-dimensional quantum Ising model in a transverse field. Driving through the critical point is assisted by an auxiliary Hamiltonian, for which the interplay between the range of the interaction and the modes where excitations are suppressed is elucidated.