TY - JOUR

T1 - Dynamics for the Haldane phase in the bilinear-biquadratic model

AU - Dhar, Arya

AU - Jaschke, Daniel

AU - Carr, Lincoln D.

N1 - Funding Information: We thank J. R. Glick, L. Santos, G. Shchedrin, and M. L. Wall for useful discussions. This work was performed with partial support of the US National Science Foundation under Grants OAC-1740130, PHY-1806372, CCF-1839232, and DGE-2125899. We acknowledge support of the UK Engineering and Physical Sciences Research Council (EPSRC) through the Quantum Science with Ultracold Molecules Programme (Grant No. EP/P01058X/1). The authors acknowledge Colorado School of Mines supercomputing resources made available for conducting the research reported in this paper.

PY - 2022/3/1

Y1 - 2022/3/1

N2 - The bilinear-biquadratic model is a promising candidate to study spin-1 systems and to design quantum simulators based on its underlying Hamiltonian. The variety of different phases contains among other valuable and exotic phases the Haldane phase. We study the Kibble-Zurek physics of linear quenches into the Haldane phase. We outline ideal quench protocols to minimize defects in the final state while exploiting different linear quench protocols via the uniaxial or interaction term. Furthermore, we look at the fate of the string order when quenching from a topologically nontrivial phase to a trivial phase. Our studies show this depends significantly on the path chosen for quenching; for example, we discover quenches from Néel to Haldane phase which reach a string order greater than their ground state counterparts for the initial or final state at intermediate quench times.

AB - The bilinear-biquadratic model is a promising candidate to study spin-1 systems and to design quantum simulators based on its underlying Hamiltonian. The variety of different phases contains among other valuable and exotic phases the Haldane phase. We study the Kibble-Zurek physics of linear quenches into the Haldane phase. We outline ideal quench protocols to minimize defects in the final state while exploiting different linear quench protocols via the uniaxial or interaction term. Furthermore, we look at the fate of the string order when quenching from a topologically nontrivial phase to a trivial phase. Our studies show this depends significantly on the path chosen for quenching; for example, we discover quenches from Néel to Haldane phase which reach a string order greater than their ground state counterparts for the initial or final state at intermediate quench times.

UR - http://www.scopus.com/inward/record.url?scp=85128522071&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2012.11479

DO - 10.48550/arXiv.2012.11479

M3 - Article

AN - SCOPUS:85128522071

VL - 105

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 9

M1 - 094309

ER -