Details
| Original language | English |
|---|---|
| Article number | 094309 |
| Journal | Physical Review B |
| Volume | 105 |
| Issue number | 9 |
| Publication status | Published - 1 Mar 2022 |
Abstract
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.
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review B, Vol. 105, No. 9, 094309, 01.03.2022.
Research output: Contribution to journal › Article › Research › peer review
}
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 -