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2007-02-06

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/137819

Entropy and Exact Matrix-Product Representation of the Laughlin Wave Function

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https://doi.org/10.1103/PhysRevLett.98.060402

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.

Subject

Física de partícules, Entropia

Subject (English)

Particle physics, Entropy

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Articles publicats en revistes (Física Quàntica i Astrofísica)

Citation

IBLISDIR, Sofyan, LATORRE, José Ignacio and ORÚS LACORT, Román. Entropy and Exact Matrix-Product Representation of the Laughlin Wave Function. Physical Review Letters. 2007. Vol. 98, num. 6, pags. 060402. ISSN 0031-9007. [consulted: 12 of August of 2026]. Available at: https://hdl.handle.net/2445/137819

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