Quench dynamics near a quantum critical point

By C. D. Grandi, V. Gritsev, A. Polkovnikov. 2009

143 citations recorded by the source corpus.

We study the dynamical response of a system to a sudden change of the tuning parameter $\ensuremath{\lambda}$ 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.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/797295d45a8a323ca0f191423d94845c09658b2f

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

Citations in the corpus

Colloquium: Nonequilibrium dynamics of closed interacting quantum systems (2010, methodology): “For particular noninteracting models, the scaling of the diagonal entropy was found to be the same as that of the density of quasi-particles (4) (De Grandi et al., 2010a,b; Mukherjee et al., 2008).”
At the limits of criticality-based quantum metrology: apparent super-Heisenberg scaling revisited (2017, background): “The above universal contributions dominate the behavior of fidelity susceptibility when dν < 2, so that nonuniversal, system-specific corrections remain subleading [55,59].”
Geometry of quantum phase transitions (2019, methodology): “The fidelity approach has been employed in the investigation of first order phase transitions [212], in higher-thansecond order QPTs [213], in finite temperature phase transitions [214, 165, 193, 51, 164] and non-equilibrium phase transitions [215, 216, 177, 217, 178].”