Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''

Abstract

Here we give detailed derivations and provide additional examples to the main paper: arXiv:0706.0212. In particular, we discuss the scaling behavior of observables like correlation functions and density of excitations. We also analyze effects of nonintegrability of the Bose-Hubbard model on the long-time dynamics of the correlation functions. In addition we explicitly consider several interacting models, where we are able to analyze slow dynamics and classify it according to the regimes suggested in the main paper.

11 pages, 6 figures. The current version of the main paper arXiv:0706.0212 is not up to date according to the Nature Physics editorial policy

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• Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
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Cited by in corpus (22)

• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• Defect production in non-linear quench across a quantum critical point
• Crystallization of strongly interacting photons in a nonlinear optical fiber
• Optimal non-linear passage through a quantum critical point
• Quantum Quench from a Thermal Initial State
• Adiabatic dynamics in open quantum critical many-body systems
• Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
• Adiabatic quantum dynamics of the Lipkin-Meshkov-Glick model
• Quench dynamics and defect production in the Kitaev and extended Kitaev models
• Non-adiabacity and large flucutations in a many particle Landau Zener problem
• Quenching along a gapless line: A different exponent for defect density
• Virial theorems for trapped cold atoms
• Defect production due to quenching through a multicritical point
• Theory of defect production in nonlinear quench across a quantum critical point
• Defect generation in a spin-1/2 transverse XY chain under repeated quenching of the transverse field
• Adiabatic nonlinear probes of one-dimensional Bose gases
• Microscopic expression for the heat in the adiabatic basis
• Effects of interference in the dynamics of spin-1/2 transverse XY Chain driven periodically through quantum critical points
• Commuting Heisenberg operators as the quantum response problem: Time-normal averages in the truncated Wigner representation
• Dynamics of a many-particle Landau-Zener model: inverse sweep
• Adiabaticity and localization in one-dimensional incommensurate lattices
• Adiabatic dynamics in a spin-1 chain with uniaxial single-spin anisotropy