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http://hdl.handle.net/2445/137819
Title: | Entropy and Exact Matrix-Product Representation of the Laughlin Wave Function |
Author: | Iblisdir, Sofyan Latorre, José Ignacio Orús Lacort, Román |
Keywords: | Física de partícules Entropia Particle physics Entropy |
Issue Date: | 6-Feb-2007 |
Publisher: | American Physical Society |
Abstract: | An analytical expression for the von Neumann entropy of the Laughlin wave function is obtained for any possible bipartition between the particles described by this wave function, for a filling fraction ν = 1 . Also, for a filling fraction ν = 1 / m , where m is an odd integer, an upper bound on this entropy is exhibited. These results yield a bound on the smallest possible size of the matrices for an exact representation of the Laughlin ansatz in terms of a matrix-product state. An analytical matrix-product state representation of this state is proposed in terms of representations of the Clifford algebra. For ν = 1 , this representation is shown to be asymptotically optimal in the limit of a large number of particles. |
Note: | Reproducció del document publicat a: https://doi.org/10.1103/PhysRevLett.98.060402 |
It is part of: | Physical Review Letters, 2007, vol. 98, num. 6, p. 060402 |
URI: | http://hdl.handle.net/2445/137819 |
Related resource: | https://doi.org/10.1103/PhysRevLett.98.060402 |
ISSN: | 0031-9007 |
Appears in Collections: | Articles publicats en revistes (Física Quàntica i Astrofísica) |
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