Nonadiabatic stationary behavior in a driven low-dimensional gapped system

We discuss the emergence of nonadiabatic behavior in the dynamics of the order parameter in a low-dimensional quantum many-body system subject to a linear ramp of one of its parameters. While performing a ramp within a gapped phase seems to be the most favorable situation for adiabaticity, we show t...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2014-07, Vol.90 (4), Article 041111
Main Authors: Maraga, Anna, Smacchia, Pietro, Fabrizio, Michele, Silva, Alessandro
Format: Article
Language:English
Subjects:
Condensed matter
Dynamic tests
Dynamical systems
Dynamics
Magnetic fields
Mathematical models
Order parameters
Ramps
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Summary:We discuss the emergence of nonadiabatic behavior in the dynamics of the order parameter in a low-dimensional quantum many-body system subject to a linear ramp of one of its parameters. While performing a ramp within a gapped phase seems to be the most favorable situation for adiabaticity, we show that such a change leads eventually to the disruption of the order, no matter how slowly the ramp is performed. We show this in detail by studying the dynamics of the one-dimensional quantum Ising model subject to linear variation of the transverse magnetic field within the ferromagnetic phase, and then propose a general argument applicable to other systems.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.90.041111