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Updated: Nov 29, 2025
11:03
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
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Dynamics of large deviations in the hydrodynamic limit: Noninteracting systems.
Gabriele Perfetto1, Andrea Gambassi1
1SISSA-International School for Advanced Studies, via Bonomea 265, 34136 Trieste, Italy and INFN, Sezione di Trieste, via Bonomea 265, 34136, Trieste, Italy.
Physical Review. E
|November 20, 2020
Summary
We analyzed energy transfer dynamics in quantum chains with different temperatures. Our findings reveal insights into quasiparticle behavior and energy fluctuations in fermionic and bosonic systems.
Area of Science:
- Quantum physics
- Statistical mechanics
- Condensed matter theory
Background:
- Studying energy transfer in quantum systems is crucial for understanding thermalization and quantum information.
- Inhomogeneous initial states, formed by joining systems at different temperatures, present unique challenges in dynamics analysis.
Purpose of the Study:
- To investigate the dynamics of energy transfer across a point in quantum chains with inhomogeneous initial states.
- To analyze the statistics of energy fluctuations and their large deviation functions.
- To compare these dynamics for noninteracting fermionic and bosonic systems.
Main Methods:
- Utilized the hydrodynamic limit for large space-time scales.
- Calculated mean values of energy density and current.
- Derived the scaled cumulant generating function for transferred energy.
- Obtained the evolution of the associated large deviation function.
Main Results:
- Characterized the mean energy density and current in the hydrodynamic limit.
- Exactly calculated the scaled cumulant generating function of transferred energy.
- Determined the evolution of the large deviation function for energy transfer.
- Identified similarities and differences between fermionic and bosonic systems.
Conclusions:
- The results can be interpreted through a semiclassical picture of ballistic quasiparticle transport.
- The study provides exact results for energy transfer statistics in exactly solvable quantum models.
- Offers a comparative analysis of energy fluctuation dynamics in fermionic versus bosonic chains.
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