Entanglement dynamics in short and long-range harmonic oscillators
arXiv:1408.3744 · doi:10.1103/PhysRevB.90.205438
Abstract
We study the time evolution of the entanglement entropy in the short and long-range coupled harmonic oscillators that have well-defined continuum limit field theories. We first introduce a method to calculate the entanglement evolution in generic coupled harmonic oscillators after quantum quench. Then we study the entanglement evolution after quantum quench in harmonic systems that the couplings decay effectively as with the distance . After quenching the mass from non-zero value to zero we calculate numerically the time evolution of von Neumann and Rényi entropies. We show that for we have a linear growth of entanglement and then saturation independent of the initial state. For depending on the initial state we can have logarithmic growth or just fluctuation of entanglement. We also calculate the mutual information dynamics of two separated individual harmonic oscillators. Our findings suggest that in our system there is no particular connection between having a linear growth of entanglement after quantum quench and having a maximum group velocity or generalized Lieb-Robinson bound.
arXiv comment20 pages, 27 figures, v2: a new figure added and some other minor additions
References in corpus (48)
- Many-Body Physics with Ultracold Gases
- Entanglement Entropy and Quantum Field Theory
- Area laws for the entanglement entropy - a review
- Nonequilibrium dynamics of closed interacting quantum systems
- Entanglement in quantum critical phenomena
- Entropy and Area
- Geometric and Renormalized Entropy in Conformal Field Theory
- Entanglement entropy and conformal field theory
- Evolution of Entanglement Entropy in One-Dimensional Systems
- The Role of Relative Entropy in Quantum Information Theory
- Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
- Observation of entanglement propagation in a quantum many-body system
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Non-local propagation of correlations in long-range interacting quantum systems
- Lieb-Robinson bounds and the generation of correlations and topological quantum order
- Entanglement entropy in free quantum field theory
- Spectral Gap and Exponential Decay of Correlations
- Ballistic spreading of entanglement in a diffusive nonintegrable system
- Entanglement Tsunami: Universal Scaling in Holographic Thermalization
- Spread of correlations in long-range interacting quantum systems
- Entanglement Entropy dynamics in Heisenberg chains
- Holographic Evolution of Entanglement Entropy
- Entanglement entropy for the long range Ising chain
- Dynamics and manipulation of entanglement in coupled harmonic systems with many degrees of freedom
- Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
- Propagation of Correlations in Quantum Lattice Systems
- Entanglement growth in quench dynamics with variable range interactions
- General entanglement scaling laws from time evolution
- Entanglement entropy in the Lipkin-Meshkov-Glick model
- Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model
- Breakdown of quasilocality in long-range quantum lattice models
- Entanglement in spin chains and lattices with long-range Ising-type interactions
- Persistence of locality in systems with power-law interactions
- Entanglement Entropy beyond the Free Case
- Entanglement spreading after a geometric quench in quantum spin chains
- Dynamics of entanglement entropy and entanglement spectrum crossing a quantum phase transition
- Influence of long-range interactions on the critical behavior of the Ising model
- Volume Law for the Entanglement Entropy in Non-local QFTs
- Quantum phase transitions in fully connected spin models: an entanglement perspective
- Spreading of Perturbations in Long-Range Interacting Classical Lattice Models
- Quantum entanglement entropy and classical mutual information in long-range harmonic oscillators
- Zero modes and divergence of entanglement entropy
- Manipulating quantum information by propagation
- Entanglement entropy in long-range harmonic oscillators
- On holographic entanglement entropy of non-local field theories
- Entanglement entropy in all dimensions
- Entanglement signatures of phase transition in higher-derivative quantum field theories
- Dynamics of entanglement of bosonic modes on symmetric graphs
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- Genuine quantum correlations in quantum many-body systems: a review of recent progress
- Entanglement negativity after a global quantum quench
- Entanglement evolution and generalised hydrodynamics: noninteracting systems
- Strictly linear light cones in long-range interacting systems of arbitrary dimensions
- Entanglement and quantum transport in integrable systems
- Entanglement Growth after a Global Quench in Free Scalar Field Theory
- Entanglement evolution and generalised hydrodynamics: interacting integrable systems
- Entanglement spreading in non-equilibrium integrable systems
- Causality and quantum criticality in long-range lattice models
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- Rényi entropies after releasing the Néel state in the XXZ spin-chain
- Exact solution for the quench dynamics of a nested integrable system
- Information propagation and equilibration in long-range Kitaev chains
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- Spreading of entanglement and correlations after a quench with intertwined quasiparticles
- Quantum quench in long-range field theories
- Entanglement and diagonal entropies after a quench with no pair structure
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- Rényi entropies of generic thermodynamic macrostates in integrable systems
- Entanglement Evolution in Lifshitz-type Scalar Theories
- Light-cone velocities after a global quench in a non-interacting model
- Dynamical manifestation of Gibbs paradox after a quantum quench
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- Quenching from superfluid to free bosons in two dimensions: entanglement, symmetries, and quantum Mpemba effect
- Entanglement Dynamics after a Quench in Ising Field Theory: A Branch Point Twist Field Approach
- Prethermalisation and Thermalisation in the Entanglement Dynamics
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- Molecular dynamics simulation of entanglement spreading in generalized hydrodynamics
- On the Strong Subadditivity of the Rényi entropies for bosonic and fermionic Gaussian states
- Out-of-horizon correlations following a quench in a relativistic quantum field theory
- Entanglement entropy of the long-range Dyson hierarchical model
- Entanglement front generated by an impurity travelling in an isolated many-body quantum system
- Continuum approach to real time dynamics of 1+1D gauge field theory: out of horizon correlations of the Schwinger model
- Quasi-particle spectrum and entanglement generation after a quench in the quantum Potts spin chain
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- Entanglement after Quantum Quenches in Lifshitz Scalar Theories
- Aspects of entanglement in non-local field theories with fractional Laplacian
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- Out of equilibrium mean field dynamics in the transverse field Ising model
- Exotic correlation spread in free-fermionic states with initial patterns
- Relaxation of the entanglement spectrum in quench dynamics of topological systems
- Sunburst quantum Ising model under interaction quench: entanglement and role of initial state coherence
- Hessian geometry and entanglement thermodynamics
- Nonlinear entanglement growth in inhomogeneous spacetimes
- Thermalization and non-monotonic entanglement growth in an exactly solvable model
- Configurable photonic simulator for quantum field dynamics