Infinite Matrix Product States for Spin-Liquid Wavefunctions

Quantum spin liquids are disordered ground states of interacting spin systems. As such they cannot be characterized by a local order parameter. Instead, entanglement measures, such as the entanglement spectrum and entanglement entropy, can be used to detect the presence of topological order.
We present here a highly parallelizable, efficient method to obtain an infinite matrix product state for Gutzwiller projected mean-field wave-functions, a common variational class of wavefunctions used to study quantum spin liquids. We then extract the entanglement spectrum from the iMPS using it to understand the topological properties of these states.