Entanglement entropy dynamics of disordered quantum spin chains

Abstract

By means of free fermionic techniques we study the time evolution of the entanglement entropy, S(t), of a block of spins in the random transverse-field Ising chain after a sudden change of the parameters of the Hamiltonian. We consider global quenches, when the parameters are modified uniformly in space, as well as local quenches, when two disconnected blocks are suddenly joined together. For a non-critical final state, the dynamical entanglement entropy is found to approach a finite limiting value for both types of quenches. If the quench is performed to the critical state, the entropy grows for an infinite block as S(t) \sim ln ln t. This type of ultraslow increase is explained through the strong disorder renormalization group method.

8 pages, 8(+1) figures; published version

References in corpus (25)

• Entanglement spectrum in one-dimensional systems
• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
• Entanglement of low-energy excitations in Conformal Field Theory
• Evolution of entanglement after a local quench
• Scaling of Entanglement Entropy in the Random Singlet Phase
• Unusual Corrections to Scaling in Entanglement Entropy
• Universal corrections to scaling for block entanglement in spin-1/2 XX chains
• Entanglement spectrum of random-singlet quantum critical points
• Solution of the fermionic entanglement problem with interface defects
• Entanglement entropy at infinite randomness fixed points in higher dimensions
• Exact relationship between the entanglement entropies of XY and quantum Ising chains
• Entanglement Entropy in the Two-Dimensional Random Transverse Field Ising Model
• Entanglement of excited states in critical spin chians
• Entanglement entropy of aperiodic quantum spin chains
• Entanglement in spin chains with gradients
• Entanglement Entropy of Quantum Wire Junctions
• Renormalization group study of random quantum magnets
• Increasing of entanglement entropy from pure to random quantum critical chains
• Finite-size scaling of the entanglement entropy of the quantum Ising chain with homogeneous, periodically modulated and random couplings
• Entanglement entropy of the random spin-1 Heisenberg chain
• Quantum communication beyond the localization length in disordered spin chains
• Random Transverse Field Ising Model in dimension $d>1$ : scaling analysis in the disordered phase from the Directed Polymer model
• Random Transverse Field Ising Model in dimension $d=2,3$ : Infinite Disorder scaling via a non-linear transfer approach
• Concurrence in Disordered Systems

Cited by in corpus (71)

• Unbounded growth of entanglement in models of many-body localization
• Local conservation laws and the structure of the many-body localized states
• Quantum entanglement in condensed matter systems
• Quench dynamics and relaxation in isolated integrable quantum spin chains
• Universal slow growth of entanglement in interacting strongly disordered systems
• Many-body localization in a disordered quantum Ising chain
• Ballistic spreading of entanglement in a diffusive nonintegrable system
• Quantum quenches in 1+1 dimensional conformal field theories
• Many-body localization in one dimension as a dynamical renormalization group fixed point
• Spread of correlations in long-range interacting quantum systems
• Quantum quench dynamics
• The entanglement negativity in random spin chains
• Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap
• Purification and many-body localization in cold atomic gases
• Strong Disorder RG approach - a short review of recent developments
• Entanglement spreading after a geometric quench in quantum spin chains
• Signatures of many-body localisation in the dynamics of two-sites entanglement
• Stationary entanglement entropies following an interaction quench in 1D Bose gas
• Bounds on the entanglement entropy by the number entropy in non-interacting fermionic systems
• Operator and entanglement growth in non-thermalizing systems: many-body localization and the random singlet phase
• Growth of mutual information in a quenched one-dimensional open quantum many body system
• Effect of long-range hopping and interactions on entanglement dynamics and many-body localization
• Out of Time Ordered Correlators and Entanglement Growth in the Random Field XX Spin Chain
• Entanglement entropy of disordered quantum chains following a global quench
• Universal logarithmic terms in the entanglement entropy of 2d, 3d and 4d random transverse-field Ising models
• Non-equilibrium quantum relaxation across a localization-delocalization transition
• Many-body dynamics in long-range hopping model in the presence of correlated and uncorrelated disorder
• Negativity Spectrum in the Random Singlet Phase
• Unusual area-law violation in random inhomogeneous systems
• Spinon and bound state excitation "light cones" in Heisenberg XXZ Chains
• Entanglement evolution across defects in critical anisotropic Heisenberg chains
• Full counting statistics in a disordered free fermion system
• Griffiths Singularities in the Random Quantum Ising Antiferromagnet: A Tree Tensor Network Renormalization Group Study
• Prethermalisation and Thermalisation in the Entanglement Dynamics
• Nonequilibrium quench dynamics in quantum quasicrystals
• Entanglement Hamiltonian of Many-body Dynamics in Strongly-correlated Systems
• How much delocalisation is needed for an enhanced area law of the entanglement entropy?
• Entanglement entropy in a periodically driven quantum Ising chain
• Entanglement dynamics in the three-dimensional Anderson model
• Anomalous diffusion and localization in a positionally disordered quantum spin array
• Multifractal Orthogonality Catastrophe in 1D Random Quantum Critical Points
• Entanglement properties of the critical quench of O(N) bosons
• Impact of geometry on many-body localization
• Probability distribution of the entanglement across a cut at an infinite-randomness fixed point
• Nonequilibrium dynamics of the Ising chain in a fluctuating transverse field
• Entanglement dynamics in critical random quantum Ising chain with perturbations
• Out-of-horizon correlations following a quench in a relativistic quantum field theory
• Information propagation in one-dimensional XY-$\Gamma$ chains
• Entanglement entropy of the long-range Dyson hierarchical model
• Quantum information spreading in random spin chains
• Dynamics of decoherence of an entangled pair of qubits locally connected to a one-dimensional disordered spin chain
• Evolution of the magnetization after a local quench in the critical transverse-field Ising chain
• Tensor network renormalization group study of spin-1 random Heisenberg chains
• Entanglement in composite free-fermion systems
• Continuum approach to real time dynamics of 1+1D gauge field theory: out of horizon correlations of the Schwinger model
• Splitting a critical spin chain
• Critical quench dynamics of random quantum spin chains: Ultra-slow relaxation from initial order and delayed ordering from initial disorder
• Logarithmic entanglement growth in two-dimensional disordered fermionic systems
• Schmidt gap in random spin chains
• Effect of double local quenches on Loschmidt echo and entanglement entropy of a one-dimensional quantum system
• Sudden quenches in quasiperiodic Ising model
• Exploring Disordered Quantum Spin Models with a Multi-Layer Multi-Configurational Approach
• Nonlocal fermions and the entropy volume law
• Dynamics of quantum coherence in many-body localized systems
• Multipartite Entanglement in the Random Ising Chain
• Trends of information backflow in disordered spin chains
• Lieb-Robinson Bounds on Entanglement Gaps from Symmetry-Protected Topology
• Entanglement entropy of a three-spin interacting spin chain with a time-reversal breaking impurity at one boundary
• Strong Disorder Renormalization Group Method for Bond Disordered Antiferromagnetic Quantum Spin Chains with Long Range Interactions: Ground State Properties
• Strong Disorder Renormalization Group Method for Bond Disordered Antiferromagnetic Quantum Spin Chains with Long Range Interactions: Excited States and Finite Temperature Properties
• Construction and universal application of entanglement erasing partner states