Artificial topological models based on a one-dimensional spin-dependent optical lattice

Zheng, Zhen; Pu, Han; Zou, Xu‐Bo; Guo, Guang‐Can

doi:10.1103/physreva.95.013616

Cited by 6 publications

(5 citation statements)

References 37 publications

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“…Schemes for realizing quantum simulators for the standard Dirac-fermion systems, using cold-atomic gases in continuum and lattice systems, have been already proposed. Some of them are a Raman coupling scheme [19][20][21][22], a modulation method on a tilted lattice [23], and an effective model of two-component cold atoms in a 1D optical superlattice [24]. The above works focus on the standard Dirac fermions.…”

Section: Introductionmentioning

confidence: 99%

Generalized lattice Wilson–Dirac fermions in (1 + 1) dimensions for atomic quantum simulation and topological phases

Kuno

Ichinose

Takahashi

2018

Sci Rep

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The Dirac fermion is an important fundamental particle appearing in high-energy physics and topological insulator physics. In particular, a Dirac fermion in a one-dimensional lattice system exhibits the essential properties of topological physics. However, the system has not been quantum simulated in experiments yet. Herein, we propose a one-dimensional generalized lattice Wilson-Dirac fermion model and study its topological phase structure. We show the experimental setups of an atomic quantum simulator for the model, in which two parallel optical lattices with the same tilt for trapping cold fermion atoms and a laser-assisted hopping scheme are used. Interestingly, we find that the model exhibits nontrivial topological phases characterized by gapless edge modes and a finite winding number in the broad regime of the parameter space. Some of the phase diagrams closely resemble those of the Haldane model. We also discuss topological charge pumping and a lattice Gross-Neveu model in the system of generalized Wilson-Dirac fermions.

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Section: Introductionmentioning

confidence: 99%

Generalized lattice Wilson–Dirac fermions in (1 + 1) dimensions for atomic quantum simulation and topological phases

Kuno

Ichinose

Takahashi

2018

Sci Rep

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“…Here d d d d , , . Therefore, the lattice system described by eff  shares the same topological properties from the eigenstates of 1  [43,44]. We can see that the Hamiltonian 1  respects the particle-hole symmetry: k k…”

Section: Phase Transition and Topological Featuresmentioning

confidence: 80%

“…Therefore, the lattice system described by H eff shares the same topological properties from the eigenstates of H 1 [43,44]. We can see that the Hamiltonian H 1 respects the particle-hole symmetry: ΞH 1 (k)Ξ † = −H 1 (−k), where Ξ = σ x K ⊗ I 2×2 and K is the complex conjugate operator.…”

mentioning

confidence: 79%

Synthetic topological Kondo insulator in a pumped optical cavity

2018

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Motivated by experimental advances on ultracold atoms coupled to a pumped optical cavity, we propose a scheme for synthesizing and observing the Kondo insulator in Fermi gases trapped in optical lattices. The synthetic Kondo phase arises from the screening of localized atoms coupled to mobile ones, which in our proposal is generated via the pumping laser as well as the cavity. By designing the atom-cavity coupling, it can engineer a nearest-neighbor-site Kondo coupling that plays an essential role for supporting topological Kondo phase. Therefore, the cavity-induced Kondo transition is associated with a nontrivial topological features, resulting in the coexistence of the superradiant and topological Kondo state. Our proposal can be realized with current technique, and thus has potential applications in quantum simulation of the topological Kondo insulator in ultracold atoms.

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“…A similar proposal based on a 1D spin-dependent OL for synthesizing SSH/Rice-Mele models with fully tunable parameters in the absence of domains was also presented in Ref. [135].…”

Section: Su-schrieffer-heeger Model and Rice-mele Modelmentioning

confidence: 96%

Topological quantum matter with cold atoms

Zhang,

Zhu,

Zhao

et al. 2018

Preprint

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This is an introductory review of the physics of topological quantum matter with cold atoms. Topological quantum phases, originally discovered and investigated in condensed matter physics, have recently been explored in a range of different systems, which produced both fascinating physics findings and exciting opportunities for applications. Among the physical systems that have been considered to realize and probe these intriguing phases, ultracold atoms become promising platforms due to their high flexibility and controllability. Quantum simulation of topological phases with cold atomic gases is a rapidly evolving field, and recent theoretical and experimental developments reveal that some toy models originally proposed in condensed matter physics have been realized with this artificial quantum system. The purpose of this article is to introduce these developments. The article begins with a tutorial review of topological invariants and the methods to control parameters in the Hamiltonians of neutral atoms. Next, topological quantum phases in optical lattices are introduced in some detail, especially several celebrated models, such as the Su-Schrieffer-Heeger model, the Hofstadter-Harper model, the Haldane model and the Kane-Mele model. The theoretical proposals and experimental implementations of these models are discussed. Notably, many of these models cannot be directly realized in conventional solid-state experiments. The newly developed methods for probing the intrinsic properties of the topological phases in cold atom systems are also reviewed. Finally, some topological phases with cold atoms in the continuum and in the presence of interactions are discussed, and an outlook on future work is given.

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Artificial topological models based on a one-dimensional spin-dependent optical lattice

Cited by 6 publications

References 37 publications

Generalized lattice Wilson–Dirac fermions in (1 + 1) dimensions for atomic quantum simulation and topological phases

Generalized lattice Wilson–Dirac fermions in (1 + 1) dimensions for atomic quantum simulation and topological phases

Synthetic topological Kondo insulator in a pumped optical cavity

Topological quantum matter with cold atoms

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