Quantum matter rarely treats us to the spectacle of self-motion. Where the classical world teems with starling murmurations, fish schools, and bustling bacteria, quantum thermodynamics long remained serene. Yet theorists at the International School for Advanced Studies (SISSA) posed a simple question: what if an impurity in an ultracold atomic cloud were made to 'breathe'—periodically changing the nature of its interaction with the medium? The answer recalls a childhood swing: a child, shifting their center of mass in time with the motion, swings without external push. Similarly, a particle in a Bose–Einstein bath can find its stride when its coupling to the environment rhythmically toggles between attraction and repulsion.
The key to the trick is timing. If the modulation is slow, the impurity obediently follows the changing potential, like a boat lazily bobbing on waves. But once the frequency ω exceeds a critical threshold, the delayed response of the medium kicks in. The trail of the quantum field, the cloud of excitations around the particle, can no longer keep up and begins to push it forward. Instead of the usual drag, negative friction emerges: the medium doesn't drain energy but pumps it in. The period-averaged force takes the form \( \bar{F}(v) = -\bar{\gamma}(v) v \). When the viscosity \( \bar{\gamma}(v) \) becomes negative at small \( v \), the impurity spontaneously accelerates until reaching a steady speed \( v^* \) where \( \bar{\gamma}(v^*)=0 \). In a numerical experiment for typical parameters of a Bose gas above the condensation point, the critical frequency was about 3.5, and the self-propulsion speed nearly 9 dimensionless units.
However, the quantum world is jealous. Heisenberg's uncertainty principle smears out the initial momentum, and if the spread is too large, the sharp phase of active motion can be washed out — the swing seemingly loses its clear rhythm. Yet the theorists found an elegant remedy: frequent, precise position measurements act like a series of snapshots, inducing wave function collapse and localizing the particle. These 'quantum nudges' suppress decoherence and restore negative viscosity, albeit at the cost of disturbing the system. Thus, entropy, steadily growing over an active cycle, becomes the price for directed motion — the fluctuation-dissipation theorem is broken, meaning we are dealing with a genuine nonequilibrium machine.
The discovery of Landau, who introduced the polaron nearly a century ago, has unexpectedly found a second wind. We are presented with a recipe for a quantum acton — a particle capable of self-propelled motion without any internal structure. In essence, it is the simplest dissipative structure: the acton consumes energy from the external modulation and converts it into directed running, defying equilibrium. It can be realized in modern experiments with optical traps and Feshbach resonances, where interaction modulation is achievable with sub-millisecond resolution. More than that: collectives of actons, exchanging wake trails, can give rise to nonreciprocal forces, forming quantum flocks and the seeds of self-organization. This is a bridge between classical active matter and the quantum world, where directed motion arises not from cogs and wheels, but from the very dance of quantum fluctuations.
The newborn particle has been dubbed the 'acton'—from the English 'action', as it becomes an agent, independently choosing its path despite zero-point quantum fluctuations.
The spontaneous motion of the acton resurrects the image of the thinking ocean from Lem's 'Solaris': a vast expanse of ultracold atoms, laced with trails of self-moving particles, recalls a living medium where the memory of the past is stored in wake patterns.