concept

double well potential

A double well potential is a potential energy landscape with two local minima separated by a barrier.
9 related articles

Description

A double well potential is a potential energy landscape that features two distinct local minima separated by a barrier. Imagine a ball rolling on a surface shaped like a 'W': the ball can settle in either of the two valleys, but to move from one to the other it must climb over the central hill. In physics, this simple shape appears whenever a system has two stable configurations, such as a molecule that can bend in two directions, a particle in a crystal that can sit in two adjacent lattice sites, or a magnetic bit that can point up or down.

History

The concept emerged in the early 20th century in the context of chemical reactions and molecular vibrations, notably in the work on ammonia inversion by Hund and later in the theory of tunneling. It became a cornerstone of quantum mechanics and statistical physics, though the specific term 'double well' was popularized later.

How it works

The system's dynamics are governed by the height of the barrier relative to the available energy. If the particle has less energy than the barrier, it stays trapped in one well, but quantum mechanics allows it to tunnel through the barrier even without enough energy. At finite temperature, thermal fluctuations can also kick the particle over the barrier. The rate of switching between wells depends exponentially on the barrier height, making the double well a classic model for metastability and decay.

In practice

Double well potentials are used to model qubits in superconducting circuits, where the two wells represent the 0 and 1 states, and to describe the inversion of ammonia molecules in atomic clocks.

Fun fact

The ammonia molecule's double well potential is so symmetric that its tunneling rate is used as the basis for the first atomic clock, the ammonia maser.

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