Long-living prethermalization in nearly integrable spin ladders

Abstract

Relaxation rates in nearly integrable systems usually increase quadratically with the strength of the perturbation that breaks integrability. We show that the relaxation rates can be significantly smaller in systems that are integrable along two intersecting lines in the parameter space. In the vicinity of the intersection point, the relaxation rates of certain observables increase with the fourth power of the distance from this point, whereas for other observables one observes standard quadratic dependence on the perturbation. As a result, one obtains exceedingly long-living prethermalization but with a reduced number of the nearly conserved operators. We show also that such a scenario can be realized in spin ladders.

arXiv comment12 pages, 8 figures (including Supplementary Material)

References in corpus (48)

• Thermalization and its mechanism for generic isolated quantum systems
• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
• Quantum thermalization through entanglement in an isolated many-body system
• Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
• Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
• Experimental Observation of a Generalized Gibbs Ensemble
• Transport and conservation laws
• Complete Generalized Gibbs Ensemble in an interacting Theory
• Finite-temperature transport in one-dimensional quantum lattice models
• Coupling Identical 1D Many-Body Localized Systems
• Generalized Thermalization in an Integrable Lattice System
• Real time confinement following a quantum quench to a non-integrable model
• Ergodic dynamics and thermalization in an isolated quantum system
• Generalized Gibbs ensemble prediction of prethermalization plateaus and their relation to nonthermal steady states in integrable systems
• "Light-cone" dynamics after quantum quenches in spin chains
• Prethermalization and thermalization in models with weak integrability breaking
• Thermalization near integrability in a dipolar quantum Newton's cradle
• Microscopic origin of ideal conductivity in integrable quantum models
• Dynamical typicality of quantum expectation values
• Quench Dynamics in a Model with Tuneable Integrability Breaking
• Structure of the conservation laws in integrable spin chains with short range interactions
• Prethermalization and Thermalization in Isolated Quantum Systems
• Time evolution of a quantum many-body system: transition from integrability to ergodicity in thermodynamic limit
• Detection of Kardar-Parisi-Zhang hydrodynamics in a quantum Heisenberg spin-$1/2$ chain
• Spin-current autocorrelations from single pure-state propagation
• Transport in Almost Integrable Models: Perturbed Heisenberg Chains
• Diffusive hydrodynamics from integrability breaking
• Glimmers of a Quantum KAM Theorem: Insights from Quantum Quenches in One Dimensional Bose Gases
• Non-Equilibrium Dynamics and Weakly Broken Integrability
• Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
• Regression relation for pure quantum states and its implications for efficient computing
• Thermalisation of a trapped one-dimensional Bose gas via diffusion
• Time-dependent generalized Gibbs ensembles in open quantum systems
• Creating quantum many-body scars through topological pumping of a 1D dipolar gas
• Stability of superdiffusion in nearly integrable spin chains
• Decay of particles above threshold in the Ising field theory with magnetic field
• Spin conductivity in almost integrable spin chains
• High temperature thermal conductivity of 2-leg spin-1/2 ladders
• Spin and energy currents in integrable and nonintegrable spin-1/2 chains: A typicality approach to real-time autocorrelations
• Quantum Quenches and Relaxation Dynamics in the Thermodynamic Limit
• Weak integrability breaking: chaos with integrability signature in coherent diffusion
• Scaling of electrical and thermal conductivities in an almost integrable chain
• Nonlinear current response of an isolated system of interacting fermions
• Spinon Confinement and a Sharp Longitudinal Mode in Yb${}_2$Pt${}_2$Pb in Magnetic Fields
• Thermalization of interacting quasi-one-dimensional systems
• Probing the edge between integrability and quantum chaos in interacting few-atom systems
• Multiple relaxation times in perturbed XXZ chain

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• Classical periodic trajectories and quantum scars in many-spin systems
• Tunable Hilbert space fragmentation and extended critical regime
• Fractionalized Prethermalization in the One-Dimensional Hubbard Model