Geometric Heat Pump: Controlling Thermal Transport with Time-dependent Modulations
arXiv:2106.14687 · doi:10.1007/s11467-021-1095-4
Abstract
The second law of thermodynamics dictates that heat simultaneously flows from the hot to cold bath on average. To go beyond this picture, a range of works in the past decade show that, other than the average dynamical heat flux determined by instantaneous thermal bias, a non-trivial flux contribution of intrinsic geometric origin is generally present in temporally driven systems. This additional heat flux provides a free lunch for the pumped heat and could even drive heat against the bias. We review here the emergence and development of this so called ``geometric heat pump'', originating from the topological geometric phase effect, and cover various quantum and classical transport systems with different internal dynamics. The generalization from the adiabatic to the non-adiabatic regime and the application of control theory are also discussed. Then, we briefly discuss the symmetry restriction on the heat pump effect, such as duality, supersymmetry and time-reversal symmetry. Finally, we examine open problems concerning the geometric heat pump process and elucidate their prospective significance in devising thermal machines with high performance.
13 pages, 7 figures, to appear in Frontiers of Physics, see https://doi.org/10.1007/s11467-021-1095-4
References in corpus (18)
- The large deviation approach to statistical mechanics
- Artificial Brownian motors: Controlling transport on the nanoscale
- Heat Transport in low-dimensional systems
- Fluctuation theorems: Work is not an observable
- Fluctuation theorems for stochastic dynamics
- Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
- Directed flow in non-adiabatic stochastic pumps
- The unified geometric theory of mesoscopic stochastic pumps and reversible ratchets
- Stochastic pumping of heat: Approaching the Carnot efficiency
- Functional Integral approach to time-dependent heat exchange in open quantum systems: general method and applications
- Pumping-Restriction Theorem for Stochastic Networks
- Two simple models of classical heat pumps
- Nonequilibrium fluctuation-dissipation theorem and heat production
- Dynamic control of quantum geometric heat flux in a nonequilibrium spin-boson model
- Geometric Heat Flux for Classical Thermal Transport in Interacting Open Systems
- The stochastic pump current and the non-adiabatic geometrical phase
- Microscopic heat from the energetics of stochastic phenomena
- Geometric phaselike effects in a quantum heat engine