# Theoretical Physics

**19 July 2013**

**Time:**n/a

**Location:**

Sukhwinder Singh (Macquarie University, Australia)

Matrix product states of anyonic chains

We introduce the matrix product state representation for a 1D system of anyons, one that explicitly encodes the quantum symmetry (e.g. SU(2)_k) of the system. We then describe how to efficiently simulate dynamics by adapting the time-evolving block decimation algorithm [1] to anyonic matrix product states. The adapted algorithm protected the quantum symmetry of the Hamiltonian and exploits it for faster simulation. Our algorithm is applicable to a generic model of anyons that is described by a modular category.

[1] G. Vidal, Phys. Rev. Lett. 98, 070201 (2007)

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