Topological quantum matter with cold atoms

Zhang, Dan‐Wei; Zhu, Yan-Qing; Zhao, Yifan; Yan, Hui; Zhu, Shi-Liang

doi:10.1080/00018732.2019.1594094

Cited by 285 publications

(138 citation statements)

References 535 publications

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“…Interestingly, the phase diagram exhibits similar structures for the same j, regardless of whether j=l+f or | | =j l f . Therefore, the whole diagram shows an approximate mirror symmetry around the ( ) -P 1 phase with j=0 (l = 1) and λä (1,4).…”

Section: Phase Diagram Of Soam-coupled Spinor Condensates With Spin Fmentioning

confidence: 90%

“…0at the center is favored. We stress that an exception occurs when λä (4,6). In this case, the ground state is metaferromagnetic and reads y 1,1 2,1 with maximum mean spin F (| | á ñ = F 1 2 and | | á ñ = J 1).…”

Section: Thomson Lattices Formed By Topological Defectsmentioning

confidence: 98%

“…Specifically, for spinor condensates with f=1, when ( ( ) )( ) l Î -+ - l l l 2 1 , 2 1 , the single-particle ground-states are organized such that L is parallel with F. Therefore we have j=l+1 with j z =−l−1, −l, L, l+1. The ground-state is of 2j+1-fold degeneracy and can be written as ⎛ When λä (1,4), the OAM L of the atoms is anti-parallel with F for the ground states, so we have j=l−1=0. The ground-state has no degeneracy and is in form of We also stress that this state supports a homogeneous density distribution, and the nematic vector  d exhibits hedgehog like pattern over the spherical surface.…”

Section: Experimental Consideration and Conclusionmentioning

confidence: 99%

“…Spin-orbital coupling, originally introduced due to the relativistic effect of the electron's spin with its orbital angular momentum, is of ubiquitousness now in varying areas of physics. Especially in condensed matter physics, the coupling of spin and linear momentum (SLM) plays a vital role for many novel phenomena such as spin Hall effect [1], topological insulator and topological superconductivity [2][3][4]. For neutral atoms, recent theoretic and experimental progresses show that the atomic spin can be coupled to its momentum degree of freedom with the help of optical Raman coupling [5][6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

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Topological spinor vortex matter on spherical surface induced by non-Abelian spin-orbital-angular-momentum coupling

et al. 2019

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We propose a scheme to implement non-Abelian spin-orbital-angular-momentum (SOAM) coupling in spinor Bose-Einstein condensates using magnetic gradient coupling. For a spherical surface trap addressable using high-order Hermite-Gaussian beams, we show that this system supports various degenerate ground states carrying different total angular momenta J, and the degeneracy can be tuned by changing the strength of SOAM coupling. For spinor condensates with hyperfine spin F=1, the system supports various meta-ferromagnetic phases and meta-polar states always described by quantized total mean angular momentum | | á ñ J in case of weak interactions. Polar states with Z 2 symmetry and Thomson lattices formed by defects of spin vortices are also discussed. The system can be used to prepare various stable spin vortex states with nontrivial topology, and serve as a platform to investigate strong-correlated physics of neutral atoms with tunable ground-state degeneracy.

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Section: Phase Diagram Of Soam-coupled Spinor Condensates With Spin Fmentioning

confidence: 90%

Section: Thomson Lattices Formed By Topological Defectsmentioning

confidence: 98%

Section: Experimental Consideration and Conclusionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Topological spinor vortex matter on spherical surface induced by non-Abelian spin-orbital-angular-momentum coupling

et al. 2019

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“…Recently, the exploration of topological phases has became an important research area in condensed matter physics [1][2][3][4][5] and various artificial systems, such as topological photonic and mechanic systems [6][7][8] and superconducting circuits [9][10][11][12]. In particular, ultracold atoms in optical lattices provide a powerful platform for quantum simulation of many-body physics and topological states of matter [13][14][15][16][17][18][19][20][21][22]. With the advances of synthetic gauge field and spin-orbit coupling for neutral atoms [23][24][25][26][27][28][29][30], various topological phases and phenomena have been achieved in cold atom experiments.…”

Section: Introductionmentioning

confidence: 99%

Simulating bosonic Chern insulators in one-dimensional optical superlattices

Chen

Zhang

et al. 2020

Phys. Rev. A

Self Cite

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We study the topological properties of an extended Bose-Hubbard model with cyclically modulated hopping and on-site potential parameters, which can be realized with ultracold bosonic atoms in a one-dimensional optical superlattice. We show that the interacting bosonic chain at half filling and in the deep Mott insulating regime can simulate bosonic Chern insulators with a topological phase diagram similar to that of the Haldane model of noninteracting fermions. Furthermore, we explore the topological properties of the ground state by calculating the many-body Chern number, the quasiparticle energy spectrum with gapless edge modes, the topological pumping of the interacting bosons, and the topological phase transition from normal (trivial) to topological Mott insulators. We also present the global phase diagram of the many-body ground state, which contains a superfluid phase and two Mott insulating phases with trivial and nontrivial topologies, respectively.

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Adiabatic Pumping in a Generalized Aubry–André Model Family with Mobility Edges

Xing

Zhao

et al. 2021

Annalen der Physik

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The adiabatic pumping between left and right end modes in a generalized Aubry–André model family with mobility edges by resorting to two end–bulk–end channels is investigated. It is shown that the system can be in an intermediate regime mixed with localized and extended phases as the mobility edge is introduced. One of the channels can remain intact even when the parameter determining the localization–delocalization transition exceeds the threshold of the paradigmatic Aubry–André model, leading to that the parametric condition for successful pumping is relaxed. Moreover, it is found that widening the region of the hybrid phase can further enhance the effect of the mobility edge. The pumping result is also quantified based on the fidelity and check the corresponding pumping process to validate these observations. Furthermore, another channel to realize a flexible adiabatic pumping among four types of generalized end modes is engineered. This work enables the potential application of mobility edges in strong–quasidisorder–immune quantum state transfer.

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Topological quantum matter with cold atoms

Cited by 285 publications

References 535 publications

Topological spinor vortex matter on spherical surface induced by non-Abelian spin-orbital-angular-momentum coupling

Topological spinor vortex matter on spherical surface induced by non-Abelian spin-orbital-angular-momentum coupling

Simulating bosonic Chern insulators in one-dimensional optical superlattices

Adiabatic Pumping in a Generalized Aubry–André Model Family with Mobility Edges

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