The property of a quantum system where its parts maintain a fixed phase relationship, enabling interference effects.Quantum coherence refers to the property of a quantum system where its constituent parts (such as particles or energy levels) maintain a fixed, well-defined phase relationship with each other. This allows the system to exhibit interference effects, where the probabilities of different outcomes add constructively or destructively, much like waves. Coherence is the foundation of quantum phenomena such as superposition and entanglement, and it is essential for the operation of quantum computers, where qubits must remain coherent to perform calculations. Loss of coherence, called decoherence, occurs due to interactions with the environment and is a major challenge in quantum technology.
The concept of coherence in quantum mechanics was developed in the early 20th century, particularly through the work of Erwin Schrödinger and Paul Dirac on wave mechanics and superposition. The term 'coherence' was later applied to quantum optics and condensed matter physics, with significant contributions from Roy Glauber in the 1960s on coherent states of light.
In a coherent quantum system, the wave functions of its parts are described by a single, unified quantum state. This means that the relative phases between different components are well-defined. When the system evolves, these phases remain locked, allowing interference effects to be observed. For example, in a double-slit experiment, a coherent particle interferes with itself, producing a pattern. Coherence is maintained as long as the system is isolated from its environment; any interaction with the outside world introduces random phase shifts, leading to decoherence and the loss of quantum behavior.
Quantum coherence is exploited in quantum computing (qubits), quantum cryptography (secure communication), and quantum sensing (high-precision measurements). It also underlies technologies like MRI and lasers, which rely on coherent states of spins and photons.
In a phenomenon called 'quantum beating', the coherent superposition of two closely spaced energy levels in an atom causes the emitted light to oscillate in intensity at a frequency equal to the energy difference, which can be used to measure tiny energy splittings with high precision.

