Symmetry Breaking Bias and the Dynamics of a Quantum Phase Transition

Rams, Marek M.; Dziarmaga, Jacek; Zurek, Wojciech H.

doi:10.1103/physrevlett.123.130603

Title: Symmetry Breaking Bias and the Dynamics of a Quantum Phase Transition

Journal Article · Fri Sep 27 00:00:00 EDT 2019 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.123.130603· OSTI ID:1774425

Rams, Marek M. ^[1]; Dziarmaga, Jacek ^[1];

^[2]

Jagiellonian Univ., Krakow (Poland). Marian Smoluchowski Inst. of Physics
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

The Kibble-Zurek mechanism predicts the formation of topological defects and other excitations that quantify how much a quantum system driven across a quantum critical point fails to be adiabatic. We point out that, thanks to the divergent linear susceptibility at the critical point, even a tiny symmetry breaking bias can restore the adiabaticity. Furthermore, the minimal required bias scales like $τ_{Q}^{- β δ / (1 + z ν)}$ , where $β$ , $δ$ , $z$ , $ν$ are the critical exponents and $τ_{Q}$ is a quench time. We test this prediction by DMRG simulations of the quantum Ising chain. It is directly applicable to the recent emulation of quantum phase transition dynamics in the Ising chain with ultracold Rydberg atoms.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1774425

Report Number(s):: LA-UR-19-23644; TRN: US2209780

Journal Information:: Physical Review Letters, Vol. 123, Issue 13; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Nonadiabatic Phase Transition with Broken Chiral Symmetry Yan, Bin; Chernyak, Vladimir Y.; Zurek, Wojciech H. Physical Review Letters, Vol. 126, Issue 7 https://doi.org/10.1103/physrevlett.126.070602	journal	February 2021
Exact thermal properties of free-fermionic spin chains Białończyk, Michał; Gómez-Ruiz, Fernando; del Campo, Adolfo SciPost Physics, Vol. 11, Issue 1 https://doi.org/10.21468/scipostphys.11.1.013	journal	July 2021
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