Adiabatic quenches through an extended quantum critical region

Abstract

By gradually changing the degree of the anisotropy in a XXZ chain we study the defect formation in a quantum system that crosses an extended critical region. We discuss two qualitatively different cases of quenches, from the antiferromagnetic to the ferromagnetic phase and from the critical to the antiferromegnetic phase. By means of time-dependent DMRG simulations, we calculate the residual energy at the end of the quench as a characteristic quantity gauging the loss of adiabaticity. We find the dynamical scalings of the residual energy for both types of quenches, and compare them with the predictions of the Kibble-Zurek and Landau-Zener theories.

4 pages, 4 figures

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• Adiabatic quantum dynamics of the Lipkin-Meshkov-Glick model
• Quench dynamics and defect production in the Kitaev and extended Kitaev models
• Quenching along a gapless line: A different exponent for defect density
• Defect production due to quenching through a multicritical point
• Theory of defect production in nonlinear quench across a quantum critical point
• Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
• Defect generation in a spin-1/2 transverse XY chain under repeated quenching of the transverse field
• Effects of interference in the dynamics of spin-1/2 transverse XY Chain driven periodically through quantum critical points
• Density matrix renormalization group study of a quantum impurity model with Landau-Zener time-dependent Hamiltonian
• Adiabatic dynamics in a spin-1 chain with uniaxial single-spin anisotropy