
A reservoir that exchanges heat with a system, used to probe its properties.A thermal bath is a large reservoir of heat that stays at a constant temperature regardless of how much energy it exchanges with a system in contact with it. In physics, it is a conceptual tool used to study how systems behave when they are driven out of equilibrium by heat flow, noise, or random fluctuations. The titles 'Квантовая ванна: как шум делает работу' and 'Движение как топливо: релятивистские квантовые моторы' show how thermal baths are central to understanding quantum engines and the role of noise in enabling useful work.
The concept of a heat reservoir dates back to the 19th century in classical thermodynamics, with James Clerk Maxwell and Ludwig Boltzmann using it to formulate statistical mechanics. The quantum treatment of thermal baths was developed in the 1960s and 1970s by researchers like H. Haken and A. O. Caldeira, who introduced the Caldeira-Leggett model.
The thermal bath is modeled as having an infinite heat capacity, so its temperature remains fixed. When a system is coupled to it, energy flows between them until the system reaches thermal equilibrium. In quantum mechanics, the bath is often described as a collection of harmonic oscillators that introduce both dissipation and random fluctuations to the system. This framework allows physicists to derive equations of motion, such as the Lindblad master equation, which describes how a quantum system's state evolves under the influence of the bath.
Thermal bath models are used to design quantum heat engines, understand decoherence in quantum computers, and optimize energy harvesting devices that convert temperature differences into electrical power.
In a thermal bath, even 'dead' systems are never truly quiet—they constantly exchange energy with the bath, leading to measurable fluctuations that can be harnessed for work in tiny quantum machines.


















