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Your search keyword '"Yucheng, Wang"' showing total 3 results
Start Over Author "Yucheng, Wang" Journal physical review letters
3 results on '"Yucheng, Wang"'

1. One-Dimensional Quasiperiodic Mosaic Lattice with Exact Mobility Edges

Author

Yucheng Wang, Qi Zhou, Shu Chen, Hepeng Yao, Jiangong You, Long Zhang, Xu Xia, and Xiong-Jun Liu

Subjects
Physics, FOS: Physical sciences, General Physics and Astronomy, Disordered Systems and Neural Networks (cond-mat.dis-nn), Lyapunov exponent, Condensed Matter - Disordered Systems and Neural Networks, 01 natural sciences, Fractal dimension, Spectral line, symbols.namesake, Exact results, Quasiperiodic function, Lattice (order), 0103 physical sciences, symbols, Global theory, Statistical physics, 010306 general physics
Abstract

The mobility edges (MEs) in energy which separate extended and localized states are a central concept in understanding the localization physics. In one-dimensional (1D) quasiperiodic systems, while MEs may exist for certain cases, the analytic results which allow for an exact understanding are rare. Here we uncover a class of exactly solvable 1D models with MEs in the spectra, where quasiperiodic on-site potentials are inlaid in the lattice with equally spaced sites. The analytical solutions provide the exact results not only for the MEs, but also for the localization and extended features of all states in the spectra, as derived through computing the Lyapunov exponents from Avila's global theory, and also numerically verified by calculating the fractal dimension. We further propose a novel scheme with experimental feasibility to realize our model based on an optical Raman lattice, which paves the way for experimental exploration of the predicted exact ME physics., To appear in PRL

Published
2020

2. Realization and Detection of Nonergodic Critical Phases in an Optical Raman Lattice

Author

Yucheng Wang, Long Zhang, Sen Niu, Xiong-Jun Liu, and Dapeng Yu

Subjects
Condensed Matter::Quantum Gases, Physics, Quantum Physics, Phase boundary, Zeeman effect, Strongly Correlated Electrons (cond-mat.str-el), Condensed matter physics, FOS: Physical sciences, General Physics and Astronomy, Disordered Systems and Neural Networks (cond-mat.dis-nn), Quantum phases, Condensed Matter - Disordered Systems and Neural Networks, 01 natural sciences, Condensed Matter - Strongly Correlated Electrons, symbols.namesake, Delocalized electron, Ultracold atom, Lattice (order), 0103 physical sciences, symbols, Ergodic theory, Quantum Physics (quant-ph), 010306 general physics, Raman spectroscopy
Abstract

The critical phases, being delocalized but non-ergodic, are fundamental phases which are different from both the many-body localization and ergodic extended quantum phases, and have so far not been realized in experiment. Here we propose to realize such critical phases with and without interaction based on a topological optical Raman lattice scheme, which possesses one-dimensional spin-orbit coupling and an incommensurate Zeeman potential. We demonstrate the existence of both the noninteracting and many-body critical phases, which can coexist with the topological phase, and show that the critical-localization transition coincides with the topological phase boundary in noninteracting regime. The dynamical detection of the critical phases is proposed and studied in detail. Finally, we demonstrate how the proposed critical phases can be achieved based on the current cold atom experiments. This work paves the way to observe the novel critical phases., Comment: 5 pages (4 figures) + Supplementary Material (6 figures). Discussions are updated

Published
2020

3. Many-Body Critical Phase: Extended and Nonthermal.

Author

Yucheng Wang, Chen Cheng, Xiong-Jun Liu, and Dapeng Yu

Subjects
*WAVE functions, *NUMERICAL calculations, *ENTROPY dimension, *STATISTICS
Abstract

The transition between ergodic and many-body localization (MBL) phases lies at the heart of understanding quantum thermalization of many-body systems. Here, we predict a many-body critical (MBC) phase with finite-size scaling analysis in the one-dimensional extended Aubry-André-Harper-Hubbard model, which is different from both the ergodic phase and MBL phase, implying that the quantum system hosts three different fundamental phases in the thermodynamic limit. The level statistics in the MBC phase are well characterized by the so-called critical statistics, and the wave functions exhibit deep multifractal behavior only in the critical region. We further study the half-chain entanglement entropy and thermalization properties and show that the former, in the MBC phase, manifest a volume law scaling, while the many-body states violate the eigenstate thermalization hypothesis. The results are confirmed by the state-of-the-art numerical calculations with system size up to L=22. This work unveils a novel many-body phase which is extended but nonthermal. [ABSTRACT FROM AUTHOR]

Published
2021
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