Optimal Nonlinear Passage Through a Quantum Critical Point

2008/04/17 by Roman Barankov, Anatoli Polkovnikov · 10 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.other

paper · pdf · doi:10.1103/physrevlett.101.076801

published as Phys. Rev. Lett. 101, 076801 (2008) · 4+ pages, 2 figures

arxiv created 2008/04/17 · openalex publication_date 2008/08/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We analyze the problem of optimal adiabatic passage through a quantum critical point. We show that to minimize the number of defects the tuning parameter should be changed as a power law in time. The optimal power is proportional to the logarithm of the total passage time multiplied by universal critical exponents characterizing the phase transition. We support our results by the general scaling analysis and by explicit calculations for the transverse-field Ising model.

Citations

• Exact Results for Quench Dynamics and Defect Production in a Two-Dimensional Model
• Fault-tolerant quantum computation by anyons

Cited by

• Breakdown of adiabaticity when loading ultracold atoms in optical lattices
• Quench dynamics near a quantum critical point
• Optimal suppression of defect generation during a passage across a quantum critical point
• Dynamics of a quantum phase transition and relaxation to a steady state
• Adiabatic quantum dynamics of the Lipkin-Meshkov-Glick model
• Defect Production Due to Quenching Through a Multicritical Point and Along a Gapless Line
• Defect production due to quenching through a multicritical point
• Experimental Trapped-ion Quantum Simulation of the Kibble-Zurek dynamics in momentum space
• Quenches and dynamical phase transitions in a nonintegrable quantum Ising model
• Causality and non-equilibrium second-order phase transitions in inhomogeneous systems

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