V. E. Korepin
The Fisher-Hartwig Formula and Generalized Entropies in XY Spin Chain.
Fri, 11/13/2009 - 16:01 — SomNambulAuthors: V. E. Korepin, A. R. Its
Subjects: Mathematical Physics
AbstractToeplitz matrices have applications to different problems of statistical
mechanics. Recently they were used for calculation of entanglement entropy in
spin chains. We use the Fisher-Hartwig formula to calculate entanglement
entropy of large block of spins in the ground state of XY spin chain. We also
calculate Renyi entropy and prove that the spectrum of the density matrix of a
block of spins is exact geometric sequence [also different eigenvalues are
degenerated differently].A lattice model related to the nonlinear Schroedinger equation.
Mon, 10/05/2009 - 20:24 — SomNambulAuthors: A. G. Izergin, V. E. Korepin
Subjects: Quantum Algebra
AbstractThis is a historical note. In 1981 we constructed a discrete version of
quantum nonlinear Schroedinger equation. This led to our discovery of quantum
determinant: it appeared in construction of anti-pod (11). Later these became
important in quantum groups: it describes the center of Yang-Baxter algebra.
Our paper was published in Doklady Akademii Nauk vol 259, page 76 (July l981)
in Russian language.A lattice model related to the nonlinear Schroedinger equation.
Mon, 10/05/2009 - 20:24 — SomNambulAuthors: A. G. Izergin, V. E. Korepin
Subjects: Quantum Algebra
AbstractThis is a historical note. In 1981 we constructed a discrete version of
quantum nonlinear Schroedinger equation. This led to our discovery of quantum
determinant: it appeared in construction of anti-pod (11). Later these became
important in quantum groups: it describes the center of Yang-Baxter algebra.
Our paper was published in Doklady Akademii Nauk vol 259, page 76 (July l981)
in Russian language.
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