Entanglement of Free Fermions and Bosons at Finite Temperature
arXiv:1510.01723 · doi:10.1088/1751-8121/aa612d
Abstract
We generalize techniques previously used to compute ground-state properties of one-dimensional noninteracting quantum gases to obtain exact results at finite temperature. We compute the order-n Rényi entanglement entropy to all orders in the fugacity in one, two, and three spatial dimensions. In all spatial dimensions, we provide closed-form expressions for its virial expansion up to next-to-leading order. In all of our results, we find explicit volume scaling in the high-temperature limit.
8 pages, 4 figures
References in corpus (23)
- Entanglement entropy of fermions in any dimension and the Widom conjecture
- Observation of topological surface state quantum Hall effect in an intrinsic three-dimensional topological insulator
- Numerical study of entanglement entropy in SU(2) lattice gauge theory
- Finite Size Scaling of Mutual Information: A Scalable Simulation
- Random matrices and entanglement entropy of trapped Fermi gases
- Finite Temperature Critical Behavior of Mutual Information
- Renyi Entropy of the Interacting Fermi Liquid
- Stable Quantum Monte Carlo Simulations for Entanglement Spectra of Interacting Fermions
- Improving entanglement and thermodynamic Rényi entropy measurements in quantum Monte Carlo
- On the Area Law for Disordered Free Fermions
- Renyi Entanglement Entropy of Interacting Fermions Calculated Using Continuous-Time Quantum Monte Carlo Method
- A Wang-Landau method for calculating Renyi entropies in finite-temperature quantum Monte Carlo simulations
- Renyi Entropies of Interacting Fermions from Determinantal Quantum Monte Carlo Simulations
- Entanglement Thermodynamics
- Free fermions on a line: asymptotics of the entanglement entropy and entanglement spectrum from full counting statistics
- A hybrid Monte Carlo approach to the entanglement entropy of interacting fermions
- Entanglement, noise, and the cumulant expansion
- Physical Architecture for a Universal Topological Quantum Computer based on a Network of Majorana Nanowires
- Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature
- Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe
- The scaling of entanglement entropy in a honeycomb lattice on a torus
- Entanglement of a 3D generalization of the Kitaev model on the diamond lattice
- Convexity of the entanglement energy of SU()-symmetric fermions with attractive interactions