A simple theory for quantum quenches in the ANNNI model
arXiv:2301.04070 · doi:10.21468/SciPostPhys.15.1.032
Abstract
In a recent numerical study by Haldar et al. (Phys. Rev. X 11, 031062) it was shown that signatures of proximate quantum critical points can be observed at early and intermediate times after certain quantum quenches. Said work focused mainly on the case of the axial next-nearest neighbour Ising (ANNNI) model. Here we construct a simple time-dependent mean-field theory that allows us to obtain a quantitatively accurate description of these quenches at short times, which for reasons we explain remains a fair approximation at late times (with some caveats). Our approach provides a simple framework for understanding the reported numerical results as well as fundamental limitations on detecting quantum critical points through quench dynamics. We moreover explain the origin of the peculiar oscillatory behaviour seen in various observables as arising from the formation of a long-lived bound state.
arXiv comment25 pages, 13 figures
References in corpus (54)
- Unpaired Majorana fermions in quantum wires
- Nonequilibrium dynamics of closed interacting quantum systems
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Time-dependence of correlation functions following a quantum quench
- Lieb-Robinson bounds and the generation of correlations and topological quantum order
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- Quantum quenches in 1+1 dimensional conformal field theories
- Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
- Real time confinement following a quantum quench to a non-integrable model
- Ultracold atoms out of equilibrium
- Prethermalization and thermalization in models with weak integrability breaking
- Dynamical phase transitions after quenches in non-integrable models
- Coherent many-body spin dynamics in a long-range interacting Ising chain
- Dynamical Correlations after a Quantum Quench
- Generalized hydrodynamics in strongly interacting 1D Bose gases
- Detecting equilibrium and dynamical quantum phase transitions in Ising chains via out-of-time-ordered correlators
- Quench Dynamics in a Model with Tuneable Integrability Breaking
- Quantum quench in interacting field theory: a self-consistent approximation
- Semi-classical theory for quantum quenches in finite transverse Ising chains
- Signatures of rare states and thermalization in a theory with confinement
- Quantum Quenches in the Thermodynamic Limit
- Crossover from adiabatic to sudden interaction quenches in the Hubbard model: Prethermalization and nonequilibrium dynamics
- Real-time evolution for weak interaction quenches in quantum systems
- Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
- Thermalization and light cones in a model with weak integrability breaking
- Impact of non-equilibrium fluctuations on pre-thermal dynamical phase transitions in long-range interacting spin chains
- Quasiparticle explanation of "weak thermalization" regime under quench in a non-integrable quantum spin chain
- Fundamental Asymmetry in Quenches Between Integrable and Nonintegrable Systems
- Quantum relaxation and finite size effects in the XY chain in a transverse field after global quenches
- Quantum Quenches in the Luttinger model and its close relatives
- How order melts after quantum quenches
- Evidence for a floating phase of the transverse ANNNI model at high frustration
- Probing ground-state phase transitions through quench dynamics
- Test of quantum thermalization in the two-dimensional transverse-field Ising model
- Signatures of quantum phase transitions after quenches in quantum chaotic one-dimensional systems
- Two leg quantum Ising ladder: A bosonization study of the ANNNI model
- Dynamical manifestation of Gibbs paradox after a quantum quench
- Evolution of Inhomogeneous Condensates: Self-consistent Variational Approach
- Signature of a Continuous Quantum Phase Transition in Nonequilibrium Energy Absorption: Footprints of Criticality on Highly Excited States
- Floating Phase in 1D Transverse ANNNI Model
- Unraveling the Excitation Spectrum of Many-Body Systems from Quantum Quenches
- Local quench spectroscopy of many-body quantum systems
- Self-consistent time-dependent harmonic approximation for the sine-Gordon model out of equilibrium
- Quantum computing critical exponents
- Out-of-equilibrium dynamics of the XY spin chain from form factor expansion
- Josephson oscillations in split one-dimensional Bose gases
- On the low-energy description for tunnel-coupled one-dimensional Bose gases
- Glass-like Behavior in a System of One Dimensional Fermions after a Quantum Quench
- Quantum quenches, linear response and superfluidity out of equilibrium
- Detecting quantum phase transitions in the quasi-stationary regime of Ising chains
- Equations of Motion for the Out-of-Equilibrium Dynamics of Isolated Quantum Systems from the Projection Operator Technique
- Quasi-particle spectrum and entanglement generation after a quench in the quantum Potts spin chain
- Hidden Quantum Criticality and Entanglement in Quench Dynamics
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- Out-of-equilibrium full counting statistics in Gaussian theories of quantum magnets
- Universal Quench Dynamics of an Open Quantum System
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