Onset temperature of Bose-Einstein condensation in incommensurate solid 4He

Abstract

The temperature dependence of the one-body density matrix in 4He crystals presenting vacancies is computed with Path Integral Monte Carlo. The main purpose of this study is to estimate the onset temperature T_0 of Bose-Einstein condensation in these systems. We see that T_0 depends on the vacancy concentration X_v of the simulated system, but not following the law $T_0\sim X_v^{2/3}$ obtained assuming non-interacting vacancies. For the lowest X_v we have studied, that is X_v = 1/256, we get T_0 = (0.15 \pm 0.05) K, close to the temperatures at which a finite fraction of non-classical rotational inertia is experimentally observed. Below T_0, vacancies do not act as classical point defects becoming completely delocalized entities.

7 pages, 4 figures

References in corpus (15)

• Worm Algorithm and Diagrammatic Monte Carlo: A New Approach to Continuous-Space Path Integral Monte Carlo Simulations
• Disorder and the Supersolid State of Solid ${}^4$He
• Oscillation Frequency Dependence of Non-Classical Rotation Inertia of Solid ${}^4$He
• Ring exchanges and the supersolid phase of 4He
• The fate of vacancy-induced supersolidity in 4He
• Observation of non-classical rotational inertia in bulk solid 4He
• Annealing Effect for Supersolid Fraction in ${}^4$He
• Nonclassical Rotational Inertia in Single Crystal Helium
• A Gross-Pitaevskii Treatment for Supersolid He
• Solid 4He and the Supersolid Phase: from Theoretical Speculation to the Discovery of a New State of Matter? A Review of the Past and Present Status of Research
• Bose-Einstein Quantum Statistics and the Ground State of Solid 4He
• Bose Einstein Condensation of incommensurate solid 4He
• Properties of Vacancy Formation in He-4 hcp Crystals at Zero Temperature and Fixed Pressure
• Path Integral Monte Carlo calculation of momentum distribution in solid \^4\He
• Zero-point vacancies in quantum solids

Cited by in corpus (6)

• Simulation and understanding of quantum crystals
• Defect-induced supersolidity with soft-core bosons
• Optical lattices as a tool to study defect-induced superfluidity
• A microscopic description of vacancies in solid 4He
• Temperature Dependence of the Vacancy Formation Energy in Solid ${}^4$He
• Study of solid 4He in two dimensions. The issue of zero-point defects and study of confined crystal