Renyi Entropy of the Interacting Fermi Liquid

Abstract

We perform quantum Monte Carlo calculations to determine how the Renyi entropies, $S_n$, of the interacting Fermi liquid depend on Renyi order, $n$, and scale as a function of system size, $L$. Using the swap operator and an accurate Slater-Jastrow wave function, we compute Renyi entropies for spinless fermions interacting via the Coulomb and modified Pöschl-Teller potentials across a range of correlation strengths. Our results show that interactions increase the Renyi entropies and increase the prefactor of their scaling laws. The relationships between Renyi entropies of different order $n$ are also modified. Additionally, we investigate the effect of the swap operator on the Fermi liquid wave function to determine the source of the $L\log L$ scaling form.

7 pages, 7 figures

References in corpus (4)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Entanglement entropy of 2D conformal quantum critical points: hearing the shape of a quantum drum
• Entanglement entropy of critical spin liquids

Cited by in corpus (12)

• Entanglement entropy of the $\nu =1/2$ composite fermion non-Fermi liquid state
• Renyi Entanglement Entropy of Interacting Fermions Calculated Using Continuous-Time Quantum Monte Carlo Method
• Renyi Entropies of Interacting Fermions from Determinantal Quantum Monte Carlo Simulations
• A path integral Monte Carlo method for Rényi entanglement entropies
• Beyond the Born-Oppenheimer approximation with quantum Monte Carlo
• Scaling of entanglement in $2+1$-dimensional scale-invariant field theories
• Capacity of entanglement and distribution of density matrix eigenvalues in gapless systems
• Entanglement properties of the antiferromagnetic-singlet transition in the Hubbard model on bilayer square lattices
• Quantification of electron correlation for approximate quantum calculations
• Density-matrix based numerical methods for discovering order and correlations in interacting systems
• Quantum dissection of a covalent bond with the entanglement spectrum
• Convexity of the entanglement energy of SU($2N$)-symmetric fermions with attractive interactions