Universal Energy Fluctuations in Inelastic Scattering Processes

Area of Science:

• Quantum physics
• Scattering theory
• Statistical mechanics

Background:

• Quantum scattering is fundamental across physics disciplines, from high-energy to mesoscopic scales.
• Understanding energy fluctuations in quantum systems is crucial for both theoretical and experimental advancements.
• Existing fluctuation relations often assume macroscopic driving sources, limiting their applicability to microscopic quantum interactions.

Purpose of the Study:

• To uncover universal relations governing energy fluctuations in quantum systems undergoing inelastic scattering with a single particle.
• To investigate the asymmetry between energy absorption and release processes in quantum scattering.
• To establish a unified framework for energy fluctuations driven by quantum particles, not macroscopic sources.

Main Methods:

• Theoretical analysis of quantum scattering processes.
• Derivation of fluctuation relations based on the nonunital nature of quantum maps.
• Investigation of energy exchange dynamics across a range of kinetic energies.

Main Results:

• A novel fluctuation relation is proven, highlighting an asymmetry between energy absorption and release.
• A bound on the average energy exchanged during scattering is derived.
• Energy release is found to be dominant when particle kinetic energy is comparable to system energies.
• At very high kinetic energies, previously established fluctuation relations are recovered.

Conclusions:

• The study provides a unified perspective on quantum energy fluctuations in scattering processes.
• The findings are applicable to scenarios where the driving source is a quantum particle, not a macroscopic bath.
• The derived relations offer new insights into the fundamental thermodynamics of quantum interactions.