Geometric phase contribution to quantum nonequilibrium many-Body dynamics
- Tomka, Michael Physics Department, University of Fribourg, Switzerland
- Polkovnikov, Anatoli Physics Department, Boston University, USA
- Gritsev, Vladimir Physics Department, University of Fribourg, Switzerland
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23.02.2012
Published in:
- Physical Review Letters. - 2012, vol. 108, no. 8, p. 080404
English
We study the influence of geometry of quantum systems underlying space of states on its quantum many-body dynamics. We observe an interplay between dynamical and topological ingredients of quantum nonequilibrium dynamics revealed by the geometrical structure of the quantum space of states. As a primary example we use the anisotropic XY ring in a transverse magnetic field with an additional time-dependent flux. In particular, if the flux insertion is slow, nonadiabatic transitions in the dynamics are dominated by the dynamical phase. In the opposite limit geometric phase strongly affects transition probabilities. This interplay can lead to a nonequilibrium phase transition between these two regimes. We also analyze the effect of geometric phase on defect generation during crossing a quantum-critical point.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Physique
- Language
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- English
- Classification
- Physics
- License
- License undefined
- Identifiers
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- RERO DOC 29283
- DOI 10.1103/PhysRevLett.108.080404
- Persistent URL
- https://folia.unifr.ch/unifr/documents/302509
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