Spreading of correlations and entanglement after a quench in the one-dimensional Bose–Hubbard model
Top Cited Papers
- 1 May 2008
- journal article
- Published by IOP Publishing in Journal of Statistical Mechanics: Theory and Experiment
- Vol. 2008 (5), P05018
- https://doi.org/10.1088/1742-5468/2008/05/p05018
Abstract
We investigate the spreading of information in a one-dimensional Bose-Hubbard system after a sudden parameter change. In particular, we study the time-evolution of correlations and entanglement following a quench. The investigated quantities show a light-cone like evolution, i.e. the spreading with a finite velocity. We discuss the relation of this veloctiy to other characteristic velocities of the system, like the sound velocity. The entanglement is investigated using two different measures, the von-Neuman entropy and mutual information. Whereas the von-Neumann entropy grows rapidly with time the mutual information between two small subsystems can as well decrease after an initial increase. Additionally we show that the static von Neuman entropy characterises the location of the quantum phase transition.Keywords
Other Versions
This publication has 38 references indexed in Scilit:
- Engineering Correlation and Entanglement Dynamics in Spin SystemsPhysical Review Letters, 2008
- Entanglement in many-body systemsReviews of Modern Physics, 2008
- Exact Relaxation in a Class of Nonequilibrium Quantum Lattice SystemsPhysical Review Letters, 2008
- 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
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atomsNature, 2002
- Long-Range Correlations in the Nonequilibrium Quantum Relaxation of a Spin ChainPhysical Review Letters, 2000
- Geometric and renormalized entropy in conformal field theoryNuclear Physics B, 1994
- The finite group velocity of quantum spin systemsCommunications in Mathematical Physics, 1972