Abstract
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 realization 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 properties. 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.
Highlights
These results indicate that the search for exact - albeit long-ranged parent Hamiltonians for 2D Jastrow-Gutzwiller might be challenging, a fact which is compatible with the scarcity of exact results in this context
We anticipate that our result suggests that an exact local parent Hamiltonian exists only for α = 1, which corresponds to free fermions 2-local Hamiltonian
We identified a region in parameter space where these wave functions display critical properties
Summary
Variational wave functions play a key role in the understanding of quantum phases of matter [1,2,3,4,5,6,7,8]. Here we study the class of 1D Jastrow-Gutzwiller variational wave functions [30,51] These states share two key features with their two-dimensional cousins employed as effective descriptions of quantum spin liquids: they describe extensive superpositions over some (spatially local) state basis, and they have in general as weights analytic functions of the space coordinates. Since the Bisognano-Wichmann technique requires the input state to exhibits relativistic low lying physics, we first investigate the entanglement and correlation properties of these wave functions, identifying a region where the algorithm is expected to perform better In this regime, we obtain local approximate parent Hamiltonian searching through different algebras of local operators.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
