Projects per year
Abstract
We study the time evolution of an integrable manyparticle system, described by the qboson Hamiltonian in the limit of strong bosonic interactions q→. It is shown that, for a particular class of pure initial states, the analytical calculation of certain observables simplifies considerably. Namely, we provide exact formulas for the calculation of the Loschmidtecho and the emptiness formation probability, where the computational time scales polynomially with the particle number. Moreover, we construct a nonlocal mapping of the q boson model to the XX spin chain, and show how this can be utilized to obtain the time evolution of various local bosonic observables for translationally invariant initial states. The results obtained via the bosonic and fermionic picture show perfect agreement. In the infinite volume and large time limits, we rigorously verify the prediction of the generalized Gibbs ensemble for homogeneous initial Fock states.
Original language  English 

Article number  053107 
Journal  Journal of Statistical Mechanics: Theory and Experiment 
Volume  2016 
Issue number  5 
DOIs  
Publication status  Published  19 May 2016 
Keywords
 integrable spin chains (vertex models)
 quantum integrability (Bethe Ansatz)
 quantum quenches
 solvable lattice models
ASJC Scopus subject areas
 Statistics and Probability
 Statistical and Nonlinear Physics
 Statistics, Probability and Uncertainty
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Projects
 1 Finished

FWFECOFFEQ  Entanglement and correlations far from equillibrium
1/09/15 → 31/08/18
Project: Research project