Adiabatic quenches through an extended quantum critical region

2008/01/29 by Franco Pellegrini, Simone Montangero, Giuseppe E. Santoro +1 · 3 citations
Physics and Astronomy · #Adiabatic process #Anisotropy #Antiferromagnetism #Condensed matter physics #Density matrix renormalization group #Ferromagnetism #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Renormalization group #Spin (aerodynamics) #Theoretical and Computational Physics #cond-mat.other

paper · pdf · doi:10.1103/physrevb.77.140404

4 pages, 4 figures

arxiv created 2008/01/29 · openalex publication_date 2008/04/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

By gradually changing the degree of the anisotropy in an 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 antiferromagnetic phase. By means of time-dependent density matrix renormalization group 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 to the predictions of the Kibble-Zurek and Landau-Zener theories.

Citations

• Quantum Annealing in the Transverse Ising Model
• Exact Results for Quench Dynamics and Defect Production in a Two-Dimensional Model
• Adiabatic-impulse approximation for avoided level crossings: From phase-transition dynamics to Landau-Zener evolutions and back again
• Sweeping from the Superfluid to the Mott Phase in the Bose-Hubbard Model
• Is domain formation decided before or after the transition?
• Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
• Optimization using quantum mechanics: quantum annealing through adiabatic evolution
• Entropy and correlation functions of a driven quantum spin chain
• Topology of cosmic domains and strings

Cited by

• Quenches and dynamical phase transitions in a nonintegrable quantum Ising model
• Finite-rate quenches of site bias in the Bose-Hubbard dimer
• Time evolution of correlations in strongly interacting fermions after a quantum quench