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Quench action and large deviations: Work statistics in the one-dimensional Bose gas
Gabriele Perfetto1,2, Lorenzo Piroli3, Andrea Gambassi1,2
1SISSA-International School for Advanced Studies, Via Bonomea 265, 34136 Trieste, Italy.
Physical Review. E
|October 24, 2019
Summary
We analyzed large deviations in quantum work for a 1D Bose gas quench. Fluctuations show non-Gaussian behavior, with deviations explained by quench action and Bethe ansatz methods.
Area of Science:
- Quantum physics
- Statistical mechanics
- Condensed matter theory
Background:
- Studying quantum quenches reveals non-equilibrium dynamics.
- Interaction quenches in Bose gases are key to understanding many-body systems.
- Large deviation statistics offer insights into rare events in quantum systems.
Purpose of the Study:
- Investigate large deviations of work in a 1D Bose gas after an interaction quench.
- Analyze the statistical properties of work fluctuations.
- Develop a theoretical framework applicable to other integrable systems.
Main Methods:
- Utilized the quench action approach to study large deviations.
- Computed the rate function analytically.
- Employed the Bethe ansatz representation for exact calculations.
Main Results:
- Established the large-deviation principle for work below its mean.
- Identified non-Gaussian behavior in fluctuations near the mean.
- Determined the algebraic decay exponent for deviations above the mean using the Bethe ansatz.
Conclusions:
- The quench action approach provides an exact method for analyzing work statistics.
- Non-Gaussian fluctuations are a significant feature of quantum quenches.
- The methodology is generalizable to other interacting integrable quantum systems.
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