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Shor-Movassagh chain leads to unusual integrable model
Bin Tong, Olof Salberger, Kun Hao +1
The ground state of Shor-Movassagh chain can be analytically described by the Motzkin paths. There is no analytical description of the excited states, the model is not solvable. We…
Entanglement entropy of two disjoint intervals separated by one spin in a chain of free fermion
L. Brightmore, G. P. Geher, A. R. Its +4
We calculate the entanglement entropy of a non-contiguous subsystem of a chain of free fermions. The starting point is a formula suggested by Jin and Korepin, \texttt{arXiv:1104.10…
Higher conservation laws for the quantum non-linear Schroedinger equation
B. Davies, V. E. Korepin
Quantum non-linear SCHROEDINGER equation is equivalent to Lieb-Liniger model. It has non-trivial conservation laws. Recently these conservation laws were used for evaluation of the…
The Fisher-Hartwig Formula and Generalized Entropies in XY Spin Chain
A. R. Its, V. E. Korepin
Toeplitz matrices have applications to different problems of statistical mechanics. Recently they were used for calculation of entanglement entropy in spin chains. We use the Fishe…
Connecting lattice and relativistic models via conformal field theory
H. E. Boos, V. E. Korepin, F. A. Smirnov
We consider the quantum group invariant XXZ-model. In infrared limit it describes Conformal Field Theory with modified energy-momentum tensor. The correlation functions are related…
The form factors in the finite volume
V. E. Korepin, N. A. Slavnov
The form factors of integrable models in finite volume are studied. We construct the explicite representations for the form factors in terms of determinants.