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Ballistic front dynamics after joining two semi-infinite quantum Ising chains.

Gabriele Perfetto1,2, Andrea Gambassi2,3

  • 1DISAT, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy.

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Summary
This summary is machine-generated.

This study examines quantum Ising chains, revealing distinct behaviors in energy and quasiparticle transport at critical versus non-critical transverse fields. Novel universal scaling emerges in critical systems, differing from standard Airy kernel corrections.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Mechanics

Background:

  • Quantum Ising chains are fundamental models in condensed matter physics.
  • Understanding transport properties in quantum systems is crucial for developing new technologies.

Purpose of the Study:

  • To investigate the transport properties of two joined semi-infinite quantum Ising chains.
  • To analyze the behavior of energy and fermionic quasiparticle currents.
  • To determine the space and time dependence of these quantities in a semiclassical limit.

Main Methods:

  • Considered two semi-infinite quantum Ising chains at different initial temperatures.
  • Analyzed the dynamics of left- and right-moving fermionic quasiparticles.
  • Extended results within the semiclassical space-time scaling limit.

Main Results:

  • Determined the full space and time dependence of energy and fermionic quasiparticle density and current.
  • Observed qualitatively different behaviors at the propagating front based on the transverse field's criticality.
  • Identified Airy kernel corrections for non-critical fields and a novel universal scaling form for critical fields.

Conclusions:

  • The criticality of the transverse field significantly impacts transport properties and correlation functions.
  • A new universal scaling form emerges in critical quantum Ising chains, distinct from established results.