Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
arXiv:0804.3559 · doi:10.1103/PhysRevA.78.010306
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 (14)
- Real time evolution using the density matrix renormalization group
- Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
- 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
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
- Quench dynamics across quantum critical points
- Evolution of entanglement after a local quench
- The Dynamics of 1D Quantum Spin Systems Can Be Approximated Efficiently
- On entropy growth and the hardness of simulating time evolution
- Entanglement evolution after connecting finite to infinite quantum chains
- Entanglement in a periodic quench
- Excitations in two-component Bose-gases
- Observations Outside the Light-Cone: Algorithms for Non-Equilibrium and Thermal States