Landauer’s Principle at Zero Temperature
André M. Timpanaro, Jader P. Santos, Gabriel T. Landi
Abstract
Landauer's bound relates changes in the entropy of a system with the inevitable dissipation of heat to the environment. The bound, however, becomes trivial in the limit of zero temperature. Here we show that it is possible to derive a tighter bound which remains nontrivial even as T→0. As in the original case, the only assumption we make is that the environment is in a thermal state. Nothing is said about the state of the system or the kind of system-environment interaction. Our bound is valid for all temperatures and is always tighter than the original one, tending to it in the limit of high temperatures.
Topics & Concepts
Zero temperatureUpper and lower boundsPhysicsLimit (mathematics)Bound stateZero (linguistics)Entropy (arrow of time)DissipationStatistical physicsThermalQuantum mechanicsTheoretical physicsThermodynamicsMathematicsMathematical analysisPhilosophyLinguisticsAdvanced Thermodynamics and Statistical MechanicsQuantum Electrodynamics and Casimir EffectCosmology and Gravitation Theories