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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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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cited_by cdi_FETCH-LOGICAL-c417t-3f9115b603965ac4ea549530be03f38417cc31371a2433e912f2067de95b337e3
cites cdi_FETCH-LOGICAL-c417t-3f9115b603965ac4ea549530be03f38417cc31371a2433e912f2067de95b337e3
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container_issue 10
container_start_page 105701.1
container_title Physical review letters
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creator ZUREK, Wojciech H
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description 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.
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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
title Dynamics of a quantum phase transition
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