A phase transition where electrons and photons synchronize, forming a collective state of matter and radiation.A superradiant phase transition is a quantum phase transition in which a system of electrons and photons spontaneously synchronize, forming a collective state of matter and radiation. In this state, the photons acquire a macroscopic occupation in a single mode, and the electrons align their dipoles, leading to a coherent emission of radiation. This transition is a prime example of light-matter coupling at its strongest, where the quantum vacuum itself becomes unstable.
The concept was first proposed by Robert H. Dicke in 1954 in the context of superradiance, and the phase transition was theoretically analyzed by Hepp and Lieb in 1973. However, the no-go theorem by Rzazewski et al. in 1975 showed that the transition cannot occur in free space due to the Thomas-Reiche-Kuhn sum rule, but it can occur in cavity quantum electrodynamics with strong confinement.
The transition occurs when the coupling strength between the electrons and the cavity photons exceeds a critical value. Below this threshold, the system is in a normal phase with no macroscopic photon field. Above it, the ground state becomes doubly degenerate, and the system chooses one of two possible phases, breaking a discrete symmetry. This is analogous to a ferromagnet, but here the order parameter is the photon field amplitude, not magnetization.
It is studied in circuit QED and ultracold atoms in optical cavities, with potential applications in quantum simulation of many-body physics and in creating novel quantum light sources.
The superradiant phase transition is so sensitive that it can be triggered by the vacuum fluctuations of the electromagnetic field, meaning that even empty space can drive a material into a new phase.







