Entanglement Growth in Quench Dynamics with Variable Range Interactions
Open Access
- 13 September 2013
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review X
- Vol. 3 (3), 031015
- https://doi.org/10.1103/physrevx.3.031015
Abstract
Studying entanglement growth in quantum dynamics provides both insight into the underlying microscopic processes and information about the complexity of the quantum states, which is related to the efficiency of simulations on classical computers. Recently, experiments with trapped ions, polar molecules, and Rydberg excitations have provided new opportunities to observe dynamics with long-range interactions. We explore nonequilibrium coherent dynamics after a quantum quench in such systems, identifying qualitatively different behavior as the exponent of algebraically decaying spin-spin interactions in a transverse Ising chain is varied. Computing the buildup of bipartite entanglement as well as mutual information between distant spins, we identify linear growth of entanglement entropy corresponding to propagation of quasiparticles for shorter-range interactions, with the maximum rate of growth occurring when the Hamiltonian parameters match those for the quantum phase transition. Counterintuitively, the growth of bipartite entanglement for long-range interactions is only logarithmic for most regimes, i.e., substantially slower than for shorter-range interactions. Experiments with trapped ions allow for the realization of this system with a tunable interaction range, and we show that the different phenomena are robust for finite system sizes and in the presence of noise. These results can act as a direct guide for the generation of large-scale entanglement in such experiments, towards a regime where the entanglement growth can render existing classical simulations inefficient.Keywords
Other Versions
This publication has 68 references indexed in Scilit:
- Relaxation timescales and decay of correlations in a long-range interacting quantum simulatorNew Journal of Physics, 2013
- Quantum simulations with ultracold quantum gasesNature Physics, 2012
- Photonic quantum simulatorsNature Physics, 2012
- Quantum simulations with trapped ionsNature Physics, 2012
- Exploiting quench dynamics in spin chains for distant entanglement and quantum communicationPhysical Review A, 2009
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose–Hubbard modelJournal of Statistical Mechanics: Theory and Experiment, 2008
- Quench Dynamics and Nonequilibrium Phase Diagram of the Bose-Hubbard ModelPhysical Review Letters, 2007
- Hard-core bosons on optical superlattices: Dynamics and relaxation in the superfluid and insulating regimesPhysical Review A, 2006
- Effect of Suddenly Turning on Interactions in the Luttinger ModelPhysical Review Letters, 2006
- Time Dependence of Correlation Functions Following a Quantum QuenchPhysical Review Letters, 2006