Dynamics of a quantum phase transition

We present two approaches to the dynamics of a quench-induced phase transition in the quantum Ising model. One follows the standard treatment of thermodynamic second order phase transitions but applies it to the quantum phase transitions. The other approach is quantum, and uses Landau-Zener formula...

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Bibliographic Details
Published in:Physical review letters 2005-09, Vol.95 (10), p.105701.1-105701.4, Article 105701
Main Authors: ZUREK, Wojciech H, DORNER, Uwe, ZOLLER, Peter
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Condensed matter: structure, mechanical and thermal properties
CRYSTAL DEFECTS
Equations of state, phase equilibria, and phase transitions
Equilibrium properties near critical points, critical exponents
Exact sciences and technology
General studies of phase transitions
ISING MODEL
LANDAU-ZENER FORMULA
MATERIALS SCIENCE
PHASE TRANSFORMATIONS
Physics
PROBABILITY
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Summary:We present two approaches to the dynamics of a quench-induced phase transition in the quantum Ising model. One follows the standard treatment of thermodynamic second order phase transitions but applies it to the quantum phase transitions. The other approach is quantum, and uses Landau-Zener formula for transition probabilities in avoided level crossings. We show that predictions of the two approaches of how the density of defects scales with the quench rate are compatible, and discuss the ensuing insights into the dynamics of quantum phase transitions.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.95.105701