ENSLAPP-L-381/92 Determinant Representation for the Time Dependent Correlation Functions in the XX0 Heisenberg Chain
نویسندگان
چکیده
Time dependent correlation functions in the Heisenberg XX0 chain in the external transverse magnetic field are calculated. For a finite chain normalized mean values of local spin products are represented as determinants of N × N matrices, N being the number of quasiparticles in the corresponding eigenstate of the Hamiltonian. In the thermodynamical limit (infinitely long chain), correlation functions are expressed in terms of Fredholm determinants of linear integral operators.
منابع مشابه
Temperature Correlation Functions in the XXO Heisenberg Chain
Space and time dependent correlation functions in the Heisenberg XX0 chain (in transverse magnetic field) are expressed in terms of Fredholm determinants of linear integral operators at all temperatures. The obtained expression allows useful computation of spectral shapes. Moreover, these determinant expressions allow to evaluate the asymptotic behaviour of correlation functions.
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