Path-integral Monte Carlo method for Rényi entanglement entropies.
Phys Rev E Stat Nonlin Soft Matter Phys
; 90(1): 013308, 2014 Jul.
Article
em En
| MEDLINE
| ID: mdl-25122411
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.
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Base de dados:
MEDLINE
Assunto principal:
Teoria Quântica
/
Método de Monte Carlo
/
Entropia
Idioma:
En
Ano de publicação:
2014
Tipo de documento:
Article