Thermodynamics of Trapped Photon Gases at Dimensional Crossover from 2D to 1D

Abstract

Photon Bose-Einstein condensates are characterised by a quite weak interaction, so they behave nearly as an ideal Bose gas. Moreover, since the current experiments are conducted in a microcavity, the longitudinal motion is frozen out and the photon gas represents effectively a two-dimensional trapped gas of massive bosons. In this paper we focus on a harmonically confined ideal Bose gas in two dimensions, where the anisotropy of the confinement allows for a dimensional crossover. If the confinement in one direction is strong enough so that this squeezed direction is frozen out, then only one degree of freedom survives and the system can be considered to be quasi-one dimensional. In view of an experimental set-up we work out analytically the thermodynamic properties for such a system with a finite number of photons. In particular, we focus on examining the dimensional information which is contained in the respective thermodynamic quantities.

24 pages, 8 figures, submission to New Journal of Physics

References in corpus (12)

• Bose-Einstein condensation of photons in an optical microcavity
• Observation of a non-Hermitian phase transition in an optical quantum gas
• Interacting Bose gases in quasi-one dimensional optical lattices
• Interaction Effects on Number Fluctuations in a Bose-Einstein Condensate of Light
• Thermally Condensing Photons into a Coherently Split State of Light
• Cross-dimensional phase transition from an array of 1D Luttinger liquids to a 3D Bose-Einstein condensate
• First-order spatial coherence measurements in a thermalized two-dimensional photonic quantum gas
• Thermo-optical interactions in a dye-microcavity photon Bose-Einstein condensate
• Systematic Semiclassical Expansion for Harmonically Trapped Ideal Bose Gases
• Realizing arbitrary trapping potentials for light via direct laser writing of mirror surface profiles
• Bose-Einstein condensation temperature of finite systems
• Steady-state superfluidity of light in a tunable cavity at room temperature

Cited by in corpus (5)

• Analytical theory of enhanced Bose-Einstein condensation in thin films
• Dimensional Crossover in a Quantum Gas of Light
• Photon BEC with Thermo-Optic Interaction at Dimensional Crossover
• Exact Diagonalisation of Photon Bose-Einstein Condensates with Thermo-Optic Interaction
• Dimensional crossover in surface growth on rectangular substrates