Quench dynamics near a quantum critical point
- De Grandi, C. Department of Physics, Boston University, USA
- Gritsev, Vladimir Department of Physics, University of Fribourg, Switzerland
- Polkovnikov, A. Department of Physics, Boston University, USA
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19.01.2010
Published in:
- Physical Review B. - 2010, vol. 81, no. 1, p. 012303
English
We study the dynamical response of a system to a sudden change of the tuning parameter λ starting (or ending) at the quantum critical point. In particular, we analyze the scaling of the excitation probability, number of excited quasiparticles, heat and entropy with the quench amplitude, and the system size. We extend the analysis to quenches with arbitrary power law dependence on time of the tuning parameter, showing a close connection between the scaling behavior of these quantities with the singularities of the adiabatic susceptibilities of order m at the quantum critical point, where m is related to the power of the quench. Precisely for sudden quenches, the relevant susceptibility of the second order coincides with the fidelity susceptibility. We discuss the generalization of the scaling laws to the finite-temperature quenches and show that the statistics of the low-energy excitations becomes important. We illustrate the relevance of those results for cold-atom experiments.
- 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 17437
- DOI 10.1103/PhysRevB.81.012303
- Persistent URL
- https://folia.unifr.ch/unifr/documents/301529
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