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相关论文: Mobility edges in pseudo-unitary quasiperiodic qua…

200 篇论文

We propose a class of general non-Hermitian quasiperiodic lattice models with exponential hoppings and analytically determine the genuine complex mobility edges by solving its dual counterpart exactly utilizing Avila's global theory. Our…

无序系统与神经网络 · 物理学 2024-10-31 Li Wang , Jiaqi Liu , Zhenbo Wang , Shu Chen

We theoretically introduce synthetic non-Abelian gauge fields for topological quantum walks. The photonic mesh lattice configuration is generalized with polarization multiplexing to achieve a four-dimensional Hilbert space, based on which…

光学 · 物理学 2024-12-05 Zehai Pang , Omar Abdelghani , Marin Soljačić , Yi Yang

We investigate the out-of-equilibrium properties of a system of interacting bosons in a ring lattice. We present a Floquet driving that induces clockwise (counterclockwise) circulation of the particles among the odd (even) sites of the ring…

量子气体 · 物理学 2019-10-16 Andrea Pizzi , Johannes Knolle , Andreas Nunnenkamp

Recently, anomalous Floquet topological phases without static counterparts have been observed in different systems, where periodically driven models are realized to support a winding number of 1 and a pair of edge modes in each quasienergy…

量子气体 · 物理学 2024-03-20 Kaiye Shi , Xiang Zhang , Wei Zhang

As a hallmark of pure quantum effect, quantum entanglement has provided unconventional routes to condensed matter systems. Here, from the perspective of quantum entanglement, we disclose exotic quantum physics in non-Hermitian…

介观与纳米尺度物理 · 物理学 2022-03-30 Li-Mei Chen , Yao Zhou , Shuai A. Chen , Peng Ye

We investigate the Loschmidt amplitude and dynamical quantum phase transitions in multiband one dimensional topological insulators. For this purpose we introduce a new solvable multiband model based on the Su-Schrieffer-Heeger model,…

介观与纳米尺度物理 · 物理学 2020-01-09 Tomasz Masłowski , Nicholas Sedlmayr

The Su-Schrieffer-Heeger model of polyacetylene is a paradigmatic Hamiltonian exhibiting non-trivial edge states. By using Floquet theory we study how the spectrum of this one-dimensional topological insulator is affected by a…

介观与纳米尺度物理 · 物理学 2015-12-01 V. Dal Lago , M. Atala , L. E. F. Foa Torres

We investigate the quantum dynamics of a one-dimensional tight-binding lattice driven by a spatially quadratic and time-periodic potential. Both Hermitian ($J_1 = J_2$) and non-Hermitian ($J_1 \neq J_2$) hopping regimes are analyzed. Within…

量子物理 · 物理学 2025-12-15 J. Cao , H. Shen , R. Wang , X. Z. Zhang

Non-Hermitian effects could create rich dynamical and topological phase structures. In this work, we show that the collaboration between lattice dimerization and non-Hermiticity could generally bring about mobility edges and multiple…

无序系统与神经网络 · 物理学 2022-02-18 Wenqian Han , Longwen Zhou

We study a one-dimensional system that includes both a commensurate off-diagonal modulation of the hopping amplitude and an incommensurate, slowly varying diagonal on-site modulation. By using asymptotic heuristic arguments, we identify…

无序系统与神经网络 · 物理学 2017-10-02 Tong Liu , Gao Xianlong , Shihua Chen , Hao Guo

The triple phase transitions or simultaneous transitions of three different phases, namely topological, parity-time (PT) symmetry breaking, and metal-insulator transitions, are observed in an extension of PT symmetric non-Hermitian…

无序系统与神经网络 · 物理学 2023-08-02 Shaina Gandhi , Jayendra N. Bandyopadhyay

We consider a driven, non-Hermitian generalization of the Aubry-Andre-Harper (AAH) model. We show that the introduction of periodic driving allows us to obtain fully real quasienergy spectra in configurations where the corresponding static…

介观与纳米尺度物理 · 物理学 2020-09-30 Elizabeth Noelle Blose

The interplay among interaction, non-Hermiticity, and disorder opens a new avenue for engineering novel phase transitions. We here study the spectral and localization features of two interacting bosons in one-dimensional nonreciprocal…

无序系统与神经网络 · 物理学 2024-12-30 Lei Wang , Juan Kang , Ni Liu , Chaohua Wu , Gang Chen

We study the topological properties of one-dimensional discrete-time quantum walks with Fibonacci quasiperiodic modulation. Spectral analysis under open boundary conditions reveals isolated edge modes that coexist at both zero and $\pi$…

量子物理 · 物理学 2026-02-23 F. Iwase

Two-dimensional arrays of periodically driven qubits can host inherently dynamical topological phases with anomalous chiral edge dynamics. These chiral Floquet phases are formally characterized by a dynamical topological invariant, the…

强关联电子 · 物理学 2018-09-12 Blake R. Duschatko , Philipp T. Dumitrescu , Andrew C. Potter

A mobility edge (ME) in energy separating extended from localized states is a central concept in understanding various fundamental phenomena like the metal-insulator transition in disordered systems. In one-dimensional quasiperiodic…

无序系统与神经网络 · 物理学 2021-05-26 Yucheng Wang , Xu Xia , Yongjian Wang , Zuohuan Zheng , Xiong-jun Liu

Theoretical results for a single electron in multi-level system given by a lens-shape self-assembled quantum dot in the presence of an intense harmonic electric field are presented. A non-perturbative Floquet approach is used to study the…

介观与纳米尺度物理 · 物理学 2008-10-09 Arezky H. Rodríguez , Lilia Meza-Montes , Carlos Trallero-Giner , Sergio E. Ulloa

We consider quantum wave propagation in one-dimensional quasiperiodic lattices. We propose an iterative construction of quasiperiodic potentials from sequences of potentials with increasing spatial period. At each finite iteration step the…

材料科学 · 物理学 2015-06-19 C. Danieli , K. Rayanov , B. Pavlov , G. Martin , S. Flach

We construct and solve a two-dimensional, chirally symmetric model of Dirac cones subjected to a quasiperiodic modulation. In real space, this is realized with a quasiperiodic hopping term. This hopping model, as we show, at the Dirac node…

强关联电子 · 物理学 2020-06-08 Yang-Zhi Chou , Yixing Fu , Justin H. Wilson , E. J. König , J. H. Pixley

The entanglement entropy can be an effective diagnostic tool for probing topological phase transitions. In one-dimensional single particle systems, the periodic driving generates a variety of topological phases and edge modes. In this work,…

量子物理 · 物理学 2026-01-07 Siyuan Cheng , Rui Xie , Xiaosen Yang , Yuee Xie , Yuanping Chen