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Floating Block Method for Quantum Monte Carlo Simulations.

Avik Sarkar1,2, Dean Lee2, Ulf-G Meißner1,3,4

  • 1Institut für Kernphysik, Institute for Advanced Simulation and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425 Jülich, Germany.

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This summary is machine-generated.

Quantum Monte Carlo simulations now efficiently compute eigenvector inner products for different Hamiltonians. This enables new applications like building accurate many-body emulators and designing adiabatic quantum computing Hamiltonians.

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Area of Science:

  • Computational Physics
  • Quantum Many-Body Physics
  • Nuclear Physics

Background:

  • Quantum Monte Carlo (QMC) simulations are essential for the quantum many-body problem.
  • Existing QMC methods calculate energies and observables but lack efficient schemes for eigenvector inner products between different Hamiltonians.
  • This limitation hinders advanced applications like many-body emulators and adiabatic quantum computing.

Purpose of the Study:

  • Introduce an efficient algorithm for computing the inner product of ground state eigenvectors for distinct Hamiltonians.
  • Develop a method to enable advanced QMC applications, including eigenvector continuation emulators and adiabatic quantum computing.
  • Investigate quantum phase transitions in atomic nuclei using the new QMC approach.

Main Methods:

  • Developed the 'floating block method' for QMC simulations.
  • The method involves interleaved Euclidean time evolution under two different Hamiltonians.
  • Applied the method with nuclear lattice simulations to construct eigenvector continuation emulators.

Main Results:

  • Successfully built eigenvector continuation emulators for the energies of ^{4}He, ^{8}Be, ^{12}C, and ^{16}O nuclei.
  • Emulators covered a range of local and nonlocal nuclear interaction couplings.
  • Identified the quantum phase transition line between a Bose gas of alpha particles and a nuclear liquid.

Conclusions:

  • The floating block method provides an efficient QMC scheme for computing eigenvector inner products.
  • This advancement enables the creation of accurate many-body emulators and facilitates adiabatic quantum computing designs.
  • The study reveals a key quantum phase transition in light nuclei, transitioning from an alpha-particle Bose gas to a nuclear liquid state.