A path integral Monte Carlo method for Rényi entanglement entropies
arXiv:1404.7104 · doi:10.1103/PhysRevE.90.013308
Abstract
We introduce a quantum Monte Carlo algorithm to measure the Rényi entanglement entropies in systems of interacting bosons in the continuum. This approach is based on a path integral ground state method that can be applied to interacting itinerant bosons in any spatial dimension with direct relevance to experimental systems of quantum fluids. We demonstrate how it may be used to compute spatial mode entanglement, particle partitioned entanglement, and the entanglement of particles, providing insights into quantum correlations generated by fluctuations, indistinguishability and interactions. We present proof-of-principle calculations, and benchmark against an exactly soluble model of interacting bosons in one spatial dimension. As this algorithm retains the fundamental polynomial scaling of quantum Monte Carlo when applied to sign-problem-free models, future applications should allow for the study of entanglement entropy in large scale many-body systems of interacting bosons.
19 pages, 13 figures; updated figures, fixed typos, and fixed notational inconsistencies
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Cited by in corpus (4)
- Path integral Monte Carlo ground state approach: Formalism, implementation, and applications
- Numerical stabilization of entanglement computation in auxiliary field quantum Monte Carlo simulations of interacting many-fermion systems
- Particle partition entanglement of bosonic Luttinger liquids
- Entanglement in topological systems