SciPost Phys. 8, 042 (2020) ·
published 16 March 2020
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· pdf
Variational wave functions have been a successful tool to investigate the
properties of quantum spin liquids. Finding their parent Hamiltonians is of
primary interest for the experimental simulation of these strongly correlated
phases, and for gathering additional insights on their stability. In this work,
we systematically reconstruct approximate spin-chain parent Hamiltonians for
Jastrow-Gutzwiller wave functions, which share several features with quantum
spin liquid wave-functions in two dimensions. Firstly, we determine the
different phases encoded in the parameter space through their correlation
functions and entanglement content. Secondly, we apply a recently proposed
entanglement-guided method to reconstruct parent Hamiltonians to these states,
which constrains the search to operators describing relativistic low-energy
field theories - as expected for deconfined phases of gauge theories relevant
to quantum spin liquids. The quality of the results is discussed using
different quantities and comparing to exactly known parent Hamiltonians at
specific points in parameter space. Our findings provide guiding principles for
experimental Hamiltonian engineering of this class of states.
