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Phase transitions in the frustrated Ising ladder with stoquastic and nonstoquastic catalysts
- Source :
- Phys. Rev. Research 3, 043013 (2021)
- Publication Year :
- 2020
-
Abstract
- The role of nonstoquasticity in the field of quantum annealing and adiabatic quantum computing is an actively debated topic. We study a strongly-frustrated quasi-one-dimensional quantum Ising model on a two-leg ladder to elucidate how a first-order phase transition with a topological origin is affected by interactions of the $\pm XX$-type. Such interactions are sometimes known as stoquastic (negative sign) and nonstoquastic (positive sign) "catalysts". Carrying out a symmetry-preserving real-space renormalization group analysis and extensive density-matrix renormalization group computations, we show that the phase diagrams obtained by these two methods are in qualitative agreement with each other and reveal that the first-order quantum phase transition of a topological nature remains stable against the introduction of both $XX$-type catalysts. This is the first study of the effects of nonstoquasticity on a first-order phase transition between topologically distinct phases. Our results indicate that nonstoquastic catalysts are generally insufficient for removing topological obstacles in quantum annealing and adiabatic quantum computing.<br />Comment: 31 pages, 16 figures. v2: plots added in Fig. 4, Fig. 5 added, references updated, and minor revisions
- Subjects :
- Quantum Physics
Condensed Matter - Statistical Mechanics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. Research 3, 043013 (2021)
- Publication Type :
- Report
- Accession number :
- edsarx.2012.07144
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevResearch.3.043013