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Molecular Entanglement and Electrospinnability of Biopolymers
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Entanglement-Guided Search for Parent Hamiltonians.

X Turkeshi1,2,3, T Mendes-Santos1, G Giudici1,2,3

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Summary
This summary is machine-generated.

We present a novel method to find parent Hamiltonians using the reduced density matrix structure. This approach simplifies identifying Hamiltonians for complex quantum states, leveraging entanglement properties.

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Area of Science:

  • Quantum Information Theory
  • Condensed Matter Physics
  • Quantum Field Theory

Background:

  • Identifying the parent Hamiltonian for a given quantum state is crucial for understanding its properties and dynamics.
  • Existing methods often struggle with complex or strongly correlated systems.
  • The entanglement structure of wave functions encodes significant information about their underlying physics.

Purpose of the Study:

  • To develop a systematic and efficient method for reconstructing parent Hamiltonians from wave functions.
  • To demonstrate the applicability of the method to various nontrivial quantum states and phases.
  • To highlight the role of entanglement in simplifying Hamiltonian reconstruction.

Main Methods:

  • Utilizing an ansatz relating the reduced density matrix to the parent Hamiltonian, exact at the field theory level.
  • Employing a convex minimization procedure in the space of relative entropies.
  • Testing the method on diverse ground state wave functions, including conformal and symmetry-protected topological phases.

Main Results:

  • Successfully reconstructed parent Hamiltonians for several nontrivial quantum states.
  • Demonstrated the method's effectiveness for quantum critical points in 2D antiferromagnets.
  • Confirmed that the entanglement structure of wave functions significantly aids in finding parent Hamiltonians.

Conclusions:

  • The proposed method offers a powerful tool for Hamiltonian reconstruction.
  • Entanglement properties are key to simplifying the search for parent Hamiltonians.
  • This approach is applicable to strongly coupled field theories and various quantum phases.