Information propagation and equilibration in long-range Kitaev chains

Abstract

We study the propagation of information through a Kitaev chain with long-range pairing interactions. Although the Lieb-Robinson bound is violated in the strict sense for long-range interacting systems, we illustrate that a major amount of information in this model still propagates ballistically on a light cone. We find a pronounced effect of the interaction range on the decay of the mutual information between spatially disconnected subsystems. A significant amount of information is shared at time-like separations. This regime is accompanied by very slow equilibration of local observables. As the Kitaev model is quasi-free, we illustrate how the distribution of quasi-particle group velocities explains the physics of this system qualitatively.

References in corpus (15)

• Measuring entanglement entropy through the interference of quantum many-body twins
• Area laws in quantum systems: mutual information and correlations
• Lieb-Robinson bounds and the generation of correlations and topological quantum order
• Lieb-Robinson Bounds and the Exponential Clustering Theorem
• Measuring entanglement growth in quench dynamics of bosons in an optical lattice
• Dephasing and the steady state in quantum many-particle systems
• Entanglement entropy for the long range Ising chain
• Measuring entanglement entropy of a generic many-body system with a quantum switch
• Kitaev chains with long-range pairing
• General entanglement scaling laws from time evolution
• Anomalous Behavior of Spin Systems with Dipolar Interactions
• Entanglement dynamics in short and long-range harmonic oscillators
• Complete devil's staircase and crystal--superfluid transitions in a dipolar XXZ spin chain: A trapped ion quantum simulation
• Interplay of Soundcone and Supersonic Propagation in Lattice Models with Power Law Interactions
• Improved numerical methods for infinite spin chains with long-range interactions

Cited by in corpus (46)

• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Quench dynamics and relaxation in isolated integrable quantum spin chains
• Long-range interacting quantum systems
• Genuine quantum correlations in quantum many-body systems: a review of recent progress
• Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunnelling models
• Probing the role of long-range interactions in the dynamics of a long-range Kitaev Chain
• Long-range topological insulators and weakened bulk-boundary correspondence
• Full Counting Statistics in the Transverse Field Ising Chain
• Origin of the slow growth of entanglement entropy in long-range interacting spin systems
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Fidelity and criticality of quantum Ising chain with long-range interactions
• Topological Quantum Liquids with Long-Range Couplings
• Fidelity Susceptibility Study of Quantum Long-Range Antiferromagnetic Ising Chain
• Metastability and discrete spectrum of long-range systems
• Effective Theory and Breakdown of Conformal Symmetry in a Long-Range Quantum Chain
• Spreading of correlations in exactly-solvable quantum models with long-range interactions in arbitrary dimensions
• Entanglement entropy in the Long-Range Kitaev chain
• Criticality of Spin Systems with Weak Long-Range Interactions
• Dynamical Quantum Phase Transitions in Extended Transverse Ising Models
• Emergent locality in systems with power-law interactions
• Disordered Kitaev chain with long-range pairing: Loschmidt echo revivals and dynamical phase transitions
• One-dimensional quantum many body systems with long-range interactions
• Quantum heat engine with long-range advantages
• Singular dynamics and emergence of nonlocality in long-range quantum models
• Topological properties of the long-range Kitaev chain with Aubry-André-Harper modulation
• Periodically driven integrable systems with long-range pair potentials
• Entanglement contour perspective for strong area law violation in a disordered long-range hopping model
• Spin transport in long-range interacting one-dimensional chain
• Critical phase boundaries of static and periodically kicked long-range Kitaev chain
• Fractal nature of high-order time crystal phases
• Topological edge modes and phase transition in the critical fermionic chain with long-range interaction
• Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain
• Topological footprints of the 1D Kitaev chain with long range superconducting pairings at a finite temperature
• Pattern-dependent proximity effect and Majorana edge mode in one-dimensional quasicrystals
• Quantum quenches in driven-dissipative quadratic fermionic systems with parity-time symmetry
• Mutual information for fermionic systems
• Quench dynamics of entanglement spectrum and topological superconducting phases in a long-range Hamiltonian
• Sublogarithmic behaviour of the entanglement entropy in fermionic chains
• Information Scrambling and the Correspondence of Entanglement- and Operator Dynamics in Systems with Nonlocal Interactions
• Stabilization of Discrete Time-Crystaline Response on a Superconducting Quantum Computer by increasing the Interaction Range
• Analysis of the buildup of spatiotemporal correlations and their bounds outside of the light cone
• Long-range interactions from $U\left(1\right)$ gauge fields via dimensional mismatch
• Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping
• Slow decay rate of correlations induced by long-range extended Dzyaloshinskii-Moriya interactions
• Dynamics of Majorana zero modes across hybrid Kitaev chain
• Suppression of the horizon effect in pairing correlation functions of $t$-$J$ chains after a quantum quench