Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field

Abstract

The non-equilibrium evolution of the block entanglement entropy is investigated in the XY chain in a transverse magnetic field after the Hamiltonian parameters are suddenly changed from and to arbitrary values. Using Toeplitz matrix representation and multidimensional phase methods, we provide analytic results for large blocks and for all times, showing explicitly the linear growth in time followed by saturation. The consequences of these analytic results are discussed and the effects of a finite block length is taken into account numerically.

4 pages, 2 figures

References in corpus (29)

• The density-matrix renormalization group
• Entanglement Entropy and Quantum Field Theory
• Entanglement in quantum critical phenomena
• Efficient simulation of one-dimensional quantum many-body systems
• Geometric and Renormalized Entropy in Conformal Field Theory
• Real time evolution using the density matrix renormalization group
• Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
• Time-dependence of correlation functions following a quantum quench
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Lieb-Robinson bounds and the generation of correlations and topological quantum order
• Quantum Quenches in Extended Systems
• Exact relaxation in a class of non-equilibrium quantum lattice systems
• Entropy scaling and simulability by Matrix Product States
• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Entanglement Entropy dynamics in Heisenberg chains
• Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
• Quench dynamics across quantum critical points
• General entanglement scaling laws from time evolution
• Evolution of entanglement after a local quench
• The Dynamics of 1D Quantum Spin Systems Can Be Approximated Efficiently
• Bounds on Information Propagation in Disordered Quantum Spin Chains
• On entropy growth and the hardness of simulating time evolution
• Entanglement evolution after connecting finite to infinite quantum chains
• Entanglement in a periodic quench
• Computational Difficulty of Global Variations in the Density Matrix Renormalization Group
• Excitations in two-component Bose-gases
• Observations Outside the Light-Cone: Algorithms for Non-Equilibrium and Thermal States

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