Critical temperature of the superfluid transition in bose liquids

TL;DR

This paper proposes a phenomenological criterion for the superfluid transition in bose liquids, deriving a new formula for the critical temperature based on mean kinetic energy and quantum decoherence, explaining observed density dependence.

Contribution

It introduces a novel criterion for superfluid transition and derives a formula linking critical temperature to kinetic energy and density effects.

Findings

The theory explains the density dependence of $T_{ ext{lambda}}$ in helium.

Estimates $T_{ ext{lambda}}$ for molecular hydrogen around 1.1 K.

The approach accounts for quantum decoherence effects in dense liquids.

Abstract

A phenomenological criterion for the superfluid transition is proposed, which is similar to the Lindemann criterion for the crystal melting. Then we derive a new formula for the critical temperature, relating $T_{\lambda}$ to the mean kinetic energy per particle above the transition. The suppression of the critical temperature in a sufficiently dense liquid is described as a result of the quantum decoherence phenomenon. The theory can account for the observed dependence of $T_{\lambda}$ on density in liquid helium and results in an estimate $T_{\lambda} \sim 1.1$ K for molecular hydrogen.