Estimated values of the kinetic energy for liquid ${}^3$He

Abstract

The kinetic energy is estimated for the ground-state of liquid ${}^3$He at equilibrium density. The obtained value for this quantity, $10.16\pm 0.05$ K/atom at density $0.0163~\mboxÅ$, is in agreement with most of the experimental data found in the literature. This result resolves a long-standing controversy between experimental and theoretical values of this quantity. The variational path integral method, an "exact" quantum Monte Carlo method extended for fermionic systems, is applied in the calculations. The results obtained are subjected only to the restrictions imposed by a chosen nodal structure without any further approximation, even for quantities that do not commute with the Hamiltonian. The required fixed-node approximation entails an implementation that allows a more effective estimation of the quantities of interest. Total and potential energies together with the radial distribution function are also computed.

10 pages and 3 figure

References in corpus (15)

• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• The Equation of State of a Low-Temperature Fermi Gas with Tunable Interactions
• Itinerant Ferromagnetism in a Fermi Gas of Ultracold Atoms
• Observation of Roton Mode Population in a Dipolar Quantum Gas
• The critical velocity in the BEC-BCS crossover
• Droplets of trapped quantum dipolar bosons
• Observation of Feshbach resonances between alkali and closed-shell atoms
• Dipolar Bose Superstripes
• Exact ground state Monte Carlo method for Bosons without importance sampling
• Connecting few-body inelastic decay to many-body correlations: a weakly coupled impurity in a resonant Fermi gas
• Ground-state properties of unitary bosons: from clusters to matter
• Quantum Critical Behavior of One-Dimensional Soft Bosons in the Continuum
• Kinetic energy and momentum distribution of isotopic liquid helium mixtures
• Quantum phases of dipolar rotors on two-dimensional lattices
• The Momentum Distribution of Liquid ${}^3$He

Cited by in corpus (1)

• Properties of fermionic systems with the Path-integral ground state method