Critical slowing down in sudden quench dynamics

Year: 2023

Authors: Dag CB., Wang YD., Uhrich P., Na XS., Halimeh JC.

Autors Affiliation: Harvard Smithsonian Ctr Astrophys, ITAMP, Cambridge, MA 02138 USA; Harvard Univ, Dept Phys, 17 Oxford St, Cambridge, MA 02138 USA; CNR INO, Pitaevskii BEC Ctr, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, I-38123 Trento, Italy; Univ Illinois, Dept Math, 1409 W Green St, Urbana, IL 61801 USA.

Abstract: We reveal a prethermal dynamical regime upon suddenly quenching to the vicinity of a quantum phase transition in the time evolution of one-dimensional spin chains. The prethermal regime is analytically found to be self-similar and its duration is governed by the ground-state energy gap. Based on analytical insights and numerical evidence, we show that this dynamical regime universally exists independently of the location of the probe site, the presence of weak interactions, or the initial state. The resulting prethermal dynamics leads to an out-of-equilibrium scaling function of the order parameter in the vicinity of the transition. Our theory suggests that sudden quench dynamics, besides probing quantum phase transitions, may give rise to a universal critical slowing down near the critical point.

Journal/Review: PHYSICAL REVIEW B

Volume: 107 (12)      Pages from: L121113-1  to: L121113-6

More Information: We thank Susanne Yelin for helpful discussion. C.B.D. acknowledges support from the NSF through grant for ITAMP at Harvard University. Y.W. is supported by AFOSR and NSF. J.C.H. and P.U. acknowledge funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 804305) , the Provincia Autonoma di Trento, support from Q@TN, the joint lab between University of Trento, FBK-Fondazione Bruno Kessler, INFN-National Institute for Nuclear Physics and CNR-National Research Council, as well as the Collaborative Research Centre ISO-QUANT (Project No. 273811115) .
KeyWords: Quantum Phase-transition; Entanglement; Gas
DOI: 10.1103/PhysRevB.107.L121113

Citations: 2
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