A Bose-Einstein condensate of electron-hole pairs, exhibiting quantum coherence and topological properties.An exciton condensate is a quantum state of matter formed when electron-hole pairs (excitons) condense into a single coherent quantum state, analogous to a Bose-Einstein condensate. Unlike ordinary condensates of atoms, excitons are composite bosons that can be created and manipulated in semiconductor structures. This state exhibits macroscopic quantum coherence, meaning the entire condensate behaves as a single quantum object, and can support topological excitations such as quantized vortices.
The concept was proposed by John Blatt, K. W. Böer, and Werner Brandt in 1962, and independently by L. V. Keldysh and A. N. Kozlov in 1968. Experimental evidence for exciton condensation was first obtained in coupled quantum wells in the 2000s.
Excitons are created when light excites an electron from the valence band to the conduction band, leaving a positively charged hole. In a semiconductor, these pairs can bind together via Coulomb attraction, forming a bosonic quasiparticle. When cooled to low temperatures and at sufficient density, these excitons can undergo Bose-Einstein condensation, where a macroscopic number of them occupy the same quantum state. The condensate's phase is coherent across macroscopic distances, and its excitations include sound-like modes and vortices.
Exciton condensates are studied for potential applications in quantum computing and simulation, as they could serve as a platform for topological quantum bits and coherent light sources.
In an exciton condensate, the flow of excitons can be dissipationless, similar to superfluidity in liquid helium, but with the added ability to be controlled by electric fields.
















