Work-distribution quantumness and irreversibility when crossing a quantum phase transition in finite time
Krissia Zawadzki, Roberto M. Serra, Irene D'Amico
Abstract
This work discusses the effects of many-body interactions on the statistics of work in inhomogeneous fermionic chains driven for finite times and across the precursor to the metal-Mott insulator quantum phase transition. For dynamics beyond sudden quenches, a change in sign and a variation in value of the skewness signal the transition, while entropy production dominates work fluctuations even for slow processes, in contrast to the classical work fluctuation dissipation relation.
Topics & Concepts
PhysicsStatistical physicsQuantumDissipationWork (physics)Quantum mechanicsEntropy productionQuantum fluctuationEntropy (arrow of time)Sign (mathematics)Quantum phase transitionPhase transitionKurtosisSkewnessSigmaQuantum decoherencePhase (matter)Quantum electrodynamicsQuantum measurementBoltzmann constantStatistical fluctuationsQuantum systemFluctuation theoremQuantum statistical mechanicsMathematicsQuantum dynamicsVon Neumann entropyQuantum discordBosonAmplitudeAdvanced Thermodynamics and Statistical MechanicsQuantum many-body systemsStatistical Mechanics and Entropy