Entropy and Exact Matrix Product Representation of the Laughlin Wave Function
S. Iblisdir, J. I. Latorre, R. Orus
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 filling fraction nu=1. Also, for filling fraction nu=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 nu=1, this representation is shown to be asymptotically optimal in the limit of a large number of particles.
Create a lesson
Related papers
Distinguishing Quantum Capacitance Signatures of a Topological Majorana Wire from a Normal Wire Segment
Binayyak Bhusan Roy, Jay Deep Sau, Sumanta Tewari
Band's Geometry Origin of Quantum Spin Transport Phenomena
Elena Derunova, Mazhar N. Ali
Trapping e/4 quasiparticles in bilayer graphene
Mario Di Luca, Emily Hajigeorgiou, Ning Ma et al.
Scalable, Simple, and Versatile Encapsulation of 2D Materials and Devices
Gabriel Natale, Uma Chirkova, Flávio Henriques Feres et al.
Mobility Enhancement in Si/SiGe Quantum Well Enabled by a Buried Si Layer Trapping Oxygen Impurities
Felix Reichmann, Alberto Mistroni, Fabian Fidorra et al.
Occupation-Driven Josephson Diode in a Symmetric Junction
Jianxiong Zhai, Zelei Zhang, Jiawei Yan