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Prethermalization in a nonintegrable quantum spin chain after a quench.

Matteo Marcuzzi1, Jamir Marino, Andrea Gambassi

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Area of Science:

  • Quantum physics
  • Condensed matter physics

Background:

  • Quantum Ising chains are fundamental models in condensed matter.
  • Sudden introduction of nonintegrable interactions can lead to complex dynamics.

Purpose of the Study:

  • To study the dynamics of a quantum Ising chain after introducing a nonintegrable long-range interaction.
  • To investigate the emergence and features of a prethermal state.
  • To understand the process of eventual thermalization.

Main Methods:

  • Exact mapping to a fully connected lattice of hard-core bosons.
  • Analysis of physically relevant observables.
  • Diagrammatic approach to study quasistationary and thermal states.
  • Self-consistent solution of the kinetic equation.

Main Results:

  • A prethermal state emerges after the interaction is introduced.
  • The prethermal state's features were investigated using relevant observables.
  • A diagrammatic approach was developed to complement the prethermal state analysis.
  • The analysis suggests algebraic temporal decay towards the prethermal state and crossover to thermalization.

Conclusions:

  • Prethermalization is a key phenomenon in this quantum system.
  • The study provides insights into the dynamics and thermalization pathways.
  • Algebraic decay is suggested for both prethermalization and thermalization processes.