Spreading of correlations and entanglement after a quench in the Bose-Hubbard model
نویسندگان
چکیده
We investigate the spreading of information in a 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 vonNeuman entropy and mutual information. Whereas the von-Neumann entropy grows rapidly with time the mutual information 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. PACS numbers: 03.75.Lm 05.70.Ln 67.40.Fd73.43.Nq ar X iv :0 80 3. 29 47 v1 [ co nd -m at .o th er ] 2 0 M ar 2 00 8 Correlations and entanglement after a quench in the Bose-Hubbard model 2
منابع مشابه
Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
We investigate the spreading of information in a one-dimensional BoseHubbard system after a sudden parameter change. In particular, we study the timeevolution 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 t...
متن کاملQuantum Correlations in a Few-Atom Spin-1 Bose-Hubbard Model
We study the thermal quantum correlations and entanglement in spin1 Bose-Hubbard model with two and three particles. While we use negativity to calculate entanglement, more general non-classical correlations are quantified using a new measure based on a necessary and sufficient condition for zero-discord state. We demonstrate that the energy level crossings in the ground state of the system are...
متن کاملSpreading of entanglement and steering along small Bose-Hubbard chains
We investigate how entanglement spreads along small Bose-Hubbard chains, with only the first well initially occupied by a mesoscopic number of atoms, as the number of sites increases. For twoand three-well chains in the noninteracting case, we are able to obtain analytical solutions and show that the presence of entanglement depends on having a sub-Poissonian state of the atoms in the first wel...
متن کاملPropagation of quantum correlations after a quench in the Mott-insulator regime of the Bose-Hubbard model
*Correspondence: [email protected] 1Fakultät für Physik, Universität Duisburg-Essen, Lotharstrasse 1, Duisburg, 47057, Germany Full list of author information is available at the end of the article Abstract We study a quantum quench in the Bose-Hubbard model where the tunneling rate J is suddenly switched from zero to a finite value in the Mott regime. In order to solve the many-b...
متن کاملMeasuring entanglement growth in quench dynamics of bosons in an optical lattice.
We discuss a scheme to measure the many-body entanglement growth during quench dynamics with bosonic atoms in optical lattices. By making use of a 1D or 2D setup in which two copies of the same state are prepared, we show how arbitrary order Rényi entropies can be extracted by using tunnel coupling between the copies and measurement of the parity of on-site occupation numbers, as has been perfo...
متن کامل