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Work statistics across a quantum critical surface.

Fan Zhang1, H T Quan2

  • 1School of Physics, Peking University, Beijing 100871, China.

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|March 16, 2022
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Summary
This summary is machine-generated.

This study reveals universal scaling laws for work statistics when systems cross quantum critical surfaces. Findings extend the Kibble-Zurek mechanism to critical surfaces, confirmed in the 2D Kitaev honeycomb model.

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Area of Science:

  • Quantum physics
  • Condensed matter theory
  • Statistical mechanics

Background:

  • Quantum critical points exhibit unique scaling behaviors.
  • The Kibble-Zurek mechanism describes defect formation during quantum quenches.
  • Extending these concepts to critical surfaces is an open challenge.

Purpose of the Study:

  • To investigate the universality of work statistics during quantum quenches across critical surfaces.
  • To generalize the Kibble-Zurek mechanism scaling to critical surfaces.
  • To provide an exact solution for a relevant model system.

Main Methods:

  • Adiabatic perturbation theory to derive general scaling behaviors for work cumulants.
  • Analysis of the two-dimensional (2D) Kitaev honeycomb model, featuring a critical line.
  • Utilizing the trace formula for quadratic fermionic Hamiltonians.

Main Results:

  • Established general scaling behavior for all cumulants of work across quantum critical surfaces.
  • Extended Kibble-Zurek mechanism scaling from critical points to critical surfaces.
  • Derived the exact characteristic function of work for the 2D Kitaev honeycomb model at zero temperature.

Conclusions:

  • The derived scaling laws are universal for systems quenched through quantum critical surfaces.
  • The study confirms theoretical predictions with an exact model calculation.
  • Provides a foundation for understanding non-equilibrium quantum dynamics in extended critical phases.