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We review recent work on the Bose-Einstein condensation of photons in a dye microcavity environment. Other than for material particles, as e.g. cold atomic Bose gases, photons usually do not condense at low temperatures. For Planck's…

Quantum Gases · Physics 2012-10-30 Jan Klaers , Martin Weitz

We study peculiarities of Bose-Einstein condensation of photons that are in thermodynamic equilibrium with atoms of noninteracting gases. General equations of the thermodynamic equilibrium of the system under study are obtained. We examine…

Quantum Gases · Physics 2013-07-31 Alex Kruchkov , Yurii Slyusarenko

The interplay between optical and statistical physics is a rich and exciting field of study. Black body radiation was the first application of photon statistics, although it was initially treated as a problem of the cavity oscillators in…

Photons can come to thermal equilibrium at room temperature by scattering multiple times from a fluorescent dye. By confining the light and dye in a microcavity, a minimum energy is set and the photons can then show Bose-Einstein…

Quantum Physics · Physics 2018-04-04 Robert A. Nyman , Benjamin T. Walker

The Planck distribution of photons emitted by a black body led to the development of quantum theory. An analogous distribution of phonons should exist in a Bose-Einstein condensate. We observe this Planck distribution of thermal phonons in…

Quantum Gases · Physics 2014-02-18 R. Schley , A. Berkovitz , S. Rinott , I. Shammass , A. Blumkin , J. Steinhauer

The thermodynamical properties of the photon-plasma system had been studied using statistical physics approach. Photons develop an effective mass in the medium thus -- as a result of the finite chemical potential -- a photon Bose-Einstein…

Statistical Mechanics · Physics 2020-04-22 Peter Mati

Bose-Einstein condensation, the macroscopic ground state accumulation of particles with integer spin (bosons) at low temperature and high density, has been observed in several physical systems, including cold atomic gases and solid state…

Quantum Gases · Physics 2010-11-30 Jan Klaers , Julian Schmitt , Frank Vewinger , Martin Weitz

Bose--Einstein condensation of a finite number of photons propagating inside a plasma-filled microcavity is investigated. The nonzero chemical potential is provided by the electrons, which induces a finite photon mass allowing condensation…

Plasma Physics · Physics 2023-07-26 J. L. Figuiredo , H. Terças , J. T. Mendonça

We have studied conditions of photon Bose-Einstein condensate formation that is in thermodynamic equilibrium with ideal gas of two-level Bose atoms below the degeneracy temperature. Equations describing thermodynamic equilibrium in the…

Quantum Gases · Physics 2015-12-31 N. Boichenko , Yu. Slyusarenko

A theory of Bose-Einstein condensation (BEC) of light in a dye microcavity is developed. The photon polarization degeneracy and the interaction between dye molecules and photons in all of the cavity modes are taken into account. The theory…

Quantum Gases · Physics 2013-08-20 D. N. Sob'yanin

We review recent experiments on the Bose-Einstein condensation of photons in a dye-filled optical microresonator. The most well-known example of a photon gas, photons in blackbody radiation, does not show Bose-Einstein condensation. Instead…

Quantum Gases · Physics 2017-05-11 Jan Klaers , Martin Weitz

A theory of Bose-Einstein condensation of light in a dye-filled optical microcavity is presented. The theory is based on the hierarchical maximum entropy principle and allows one to investigate the fluctuating behavior of the photon gas in…

Quantum Gases · Physics 2013-08-20 Denis Nikolaevich Sob'yanin

In this study, we examine the emergence of photon Bose-Einstein condensation (BEC) resulting from the interaction of high-energy photons with a cold electron gas, modeled via a modified Kompaneets equation. Beginning with an initial…

High Energy Physics - Phenomenology · Physics 2025-08-26 Bing'ang Guo , Wei Kou , Xurong Chen

Photons, due to the virtually vanishing photon-photon interaction, constitute to very good approximation an ideal Bose gas, but owing to the vanishing chemical potential a (free) photon gas does not show Bose-Einstein condensation. However,…

Quantum Gases · Physics 2011-10-26 J. Klaers , J. Schmitt , T. Damm , F. Vewinger , M. Weitz

This paper provides, firstly, a succinct mathematical derivation of Bose-Einstein condensation (BEC) of photons elaborating on previous results [M\"uller, E.E., Annals of Phys. 184, 219-230 (1988); M\"uller, E.E. Physica 139A, 165-174…

Quantum Physics · Physics 2019-11-27 Eberhard E. Müller

The Bose-Einstein condensation of atoms can be conveniently formulated as a problem in thermal quantum field theory. There are many properties of the equilibrium system and its collective excitations that can be studied experimentally. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Eric Braaten

In 1924, Satyendra Nath Bose's pioneering work laid the foundation for Bose-Einstein statistics, which describes particles with integral spins. His derivation of Planck's law for blackbody radiation bypassed classical assumptions, relying…

History and Philosophy of Physics · Physics 2025-05-20 Shreetam Dash , Prasanta K. Panigrahi

Bose-Einstein condensation, the macroscopic accumulation of bosonic particles in the energetic ground state below a critical temperature, has been demonstrated in several physical systems. The perhaps best known example of a bosonic gas,…

Quantum Gases · Physics 2010-07-16 Jan Klaers , Frank Vewinger , Martin Weitz

The paper considers Bose-Einstein condensation (BEC) of light in a cavity with medium. In the framework of two-level model we show the effect of gaseous medium on the critical temperature of light condensation in the system. Transition of…

Quantum Gases · Physics 2014-04-02 Alex Kruchkov

In 1924, Einstein received a short manuscript in the mail from the Indian physicist S.N. Bose. He quickly translated Bose's manuscript to German and submitted it to Zeitschrift f\"ur Physik. Within a few weeks, Einstein presented his own…

History and Philosophy of Physics · Physics 2025-04-08 Masud Mansuripur
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