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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Large deviations and universality in quantum quenches.

Andrea Gambassi1, Alessandro Silva

  • 1SISSA, International School for Advanced Studies, Via Bonomea 265, 34136 Trieste, Italy.

Physical Review Letters
|February 2, 2013
PubMed
Summary
This summary is machine-generated.

Large deviations in quantum many-body systems near critical points reveal universal classical and novel quantum behaviors. A bosonic system shows a transition in work statistics, mirroring Bose-Einstein condensation.

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Area of Science:

  • Quantum physics
  • Statistical mechanics
  • Many-body systems

Background:

  • Understanding quantum many-body systems is crucial for developing new technologies.
  • Critical phenomena in quantum systems exhibit unique statistical properties.
  • Work statistics in isolated quantum systems provide insights into non-equilibrium dynamics.

Purpose of the Study:

  • To investigate the large deviation statistics of work done in quantum many-body systems.
  • To explore the connection between quantum critical phenomena and classical statistical mechanics.
  • To identify quantum-specific features in work distributions.

Main Methods:

  • Analysis of large deviation statistics for work done by changing a control parameter.
  • Study of thermally isolated quantum many-body systems.
  • Investigation of bosonic systems and their behavior near critical points.

Main Results:

  • Large deviations below the mean work show universal features linked to the critical Casimir effect.
  • Large deviations above the mean work exhibit purely quantum characteristics.
  • A transition from exponential to power-law statistics is observed in bosonic systems, analogous to Bose-Einstein condensation.

Conclusions:

  • Quantum systems near critical points display a duality of classical and quantum statistical behaviors.
  • The quantum nature of work statistics above the mean offers new avenues for research.
  • Bose-Einstein condensation analogies in work statistics highlight the rich phase behavior of quantum systems.