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Related Experiment Videos

Dynamics of a quantum phase transition.

Wojciech H Zurek1, Uwe Dorner, Peter Zoller

  • 1Theory Division, LANL, MS-B213, Los Alamos, New Mexico 87545, USA.

Physical Review Letters
|October 4, 2005
PubMed
Summary
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We studied quantum phase transitions in the quantum Ising model using two methods: standard thermodynamics and quantum Landau-Zener theory. Both approaches yield compatible predictions for defect density scaling with quench rate.

Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Mechanics

Background:

  • Quantum phase transitions are fundamental phenomena in condensed matter physics.
  • Understanding the dynamics of these transitions, especially under non-equilibrium conditions (quenches), is crucial.
  • The quantum Ising model serves as a key theoretical framework for studying such transitions.

Purpose of the Study:

  • To investigate the dynamics of quench-induced phase transitions in the quantum Ising model.
  • To compare predictions from a thermodynamic approach with a quantum mechanical approach.
  • To gain insights into the scaling of defect density with quench rate.

Main Methods:

  • Applying the standard treatment of second-order phase transitions to quantum phase transitions.

Related Experiment Videos

  • Utilizing the Landau-Zener formula for transition probabilities in avoided level crossings.
  • Analyzing the scaling of defect density as a function of the quench rate.

    • Main Results:

    • Demonstrated compatibility between the thermodynamic and quantum mechanical approaches.
    • Showed consistent predictions for how the density of defects scales with the quench rate.
    • Identified shared insights into the dynamics of quantum phase transitions.

    Conclusions:

    • The dynamics of quench-induced phase transitions in the quantum Ising model can be effectively described by both thermodynamic and quantum approaches.
    • The Landau-Zener formula provides a robust quantum mechanical framework for analyzing these dynamics.
    • The scaling of defect density offers a unifying perspective on quantum phase transition dynamics.