Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-02-12
Physics
Condensed Matter
Statistical Mechanics
submitted to J. Stat. Mech.: Theor. Exp.
Scientific paper
For systems in an externally controllable time-dependent potential, the optimal protocol minimizes the mean work spent in a finite-time transition between given initial and final values of a control parameter. For an initially thermalized ensemble, we consider both Hamiltonian evolution for classical systems and Schr\"odinger evolution for quantum systems. In both cases, we show that for harmonic potentials, the optimal work is given by the adiabatic work even in the limit of short transition times. This result is counter-intuitive because the adiabatic work is substantially smaller than the work for an instantaneous jump. We also perform numerical calculations of the optimal protocol for Hamiltonian dynamics in an anharmonic quartic potential. For a two-level spin system, we give examples where the adiabatic work can be reached in either a finite or an arbitrarily short transition time depending on the allowed parameter space.
Dieterich Eckhard
Dieterich Peter-Simon
Schmiedl Tim
Seifert Udo
No associations
LandOfFree
Optimal protocols for Hamiltonian and Schrödinger dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Optimal protocols for Hamiltonian and Schrödinger dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Optimal protocols for Hamiltonian and Schrödinger dynamics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-556942