Correlation functions of the XXZ spin-1/2 chain: recent progress

More documents

Recommendations

Info

J. M. Maillet Correlation functionsQuantum integrable modelsInterests• Exacts results not accessible by usual techniques• Direct applications : condensed matter, solid state physics,...• Mathematics : quantum groups, knot theory,...What can we compute?Hamiltonian spectrum, scattering matrix , partition function, critical exponents,....(Bethe, Onsager, Yang, Baxter, McCoy, Faddeev, Zamolodchikov,...)Correlation functions?〈 O 〉 =tr H(O e −H/kT )tr H(e−H/kT )– Typeset by FoilTEX – Florence 2003 1
J. M. Maillet Correlation functionsCorrelation functionsWhy is it so difficult? (Bethe ansatz already 70 years old...!)For example at T=0 only the ground state |ψ g 〉 of H contributes :Three main problems to be solved :〈ψ g | O |ψ g 〉• Compute exact eigenstates and energy levels of the Hamiltonian (Bethe ansatz)• Obtain the action of local operators on the eigenstates : main problem since eigenstatesare highly non-local!• Compute the resulting scalar products with the eigenstatesBeyond Ising type models (there, use the free fermion algebra)...?(Lieb, Shultz, Mattis, Wu, McCoy,...)– Typeset by FoilTEX – Florence 2003 2
Page 1: Correlation functions of the XXZspi
Page 5 and 6: J. M. Maillet Correlation functions

Correlation functions of the XXZ spin-1/2 chain: recent progress

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?