Maximum thickness of a two-dimensional trapped Bose system

TL;DR

This paper derives an expression for the maximum thickness of a two-dimensional trapped Bose system, based on the condition that thermal fluctuations are less than the lowest perpendicular energy, effectively defining the system's dimensional limit.

Contribution

The paper provides a theoretical formula for the maximum thickness of a 2D trapped Bose system, clarifying the conditions for effective two-dimensional behavior.

Findings

Derived an explicit expression for maximum thickness

Established the thermal fluctuation criterion for 2D behavior

Clarified the dimensional boundary for trapped Bose systems

Abstract

The trapped Bose system can be regarded as two-dimensional if the thermal fluctuation energy is less than the lowest energy in the perpendicular direction. Under this assumption, we derive an expression for the maximum thickness of an effective two-dimensional trapped Bose system.