Localization on a Synthetic Hall Cylinder.

Published on May 10, 2021in arXiv: Quantum Gases
· DOI :10.1103/PHYSREVLETT.126.193001
Ren Zhang11
Estimated H-index: 11
(Xi'an Jiaotong University),
Yangqian Yan9
Estimated H-index: 9
Qi Zhou17
Estimated H-index: 17
By engineering laser-atom interactions, both Hall ribbons and Hall cylinders as fundamental theoretical tools in condensed matter physics have recently been synthesized in laboratories. Here, we show that turning a synthetic Hall ribbon into a synthetic Hall cylinder could naturally lead to localization. Unlike a Hall ribbon, a Hall cylinder hosts an intrinsic lattice, which arises due to the periodic boundary condition in the azimuthal direction, in addition to the external periodic potential imposed by extra lasers. When these two lattices are incommensurate, localization may occur on a synthetic Hall cylinder. Near the localization-delocalization transitions, the dependence of physical observables on the axial magnetic flux allows us to tackle a fundamental question of determining the accuracy of rational approximation of irrational numbers. In the irrational limit, physical observables are no longer affected by fluctuations of the axial flux.
#1Qiyu Liang (NIST: National Institute of Standards and Technology)H-Index: 9
#2D. Trypogeorgos (NIST: National Institute of Standards and Technology)H-Index: 5
Last. Ian B. Spielman (NIST: National Institute of Standards and Technology)H-Index: 50
view all 6 authors...
This paper presents a tube-geometry Harper-Hofstadter model, where coherence is stabilized by quasi-disorder in interferometric experiments akin to Aharonov-Bohm interferometers.
#1Xi-Wang Luo (UTD: University of Texas at Dallas)H-Index: 11
#2Jing ZhangH-Index: 26
Last. Chuanwei ZhangH-Index: 42
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Hall tube with a tunable flux is an important geometry for studying quantum Hall physics, but its experimental realization in real space is still challenging. Here, we propose to realize a synthetic Hall tube with tunable flux in a one-dimensional optical lattice with the synthetic ring dimension defined by atomic hyperfine states. We investigate the effects of the flux on the system topology and study its quench dynamics. Utilizing the tunable flux, we show how to realize topological charge pum...
#1R. P. Anderson (Monash University)H-Index: 17
#2D. Trypogeorgos (UMD: University of Maryland, College Park)H-Index: 2
Last. Ian B. Spielman (UMD: University of Maryland, College Park)H-Index: 50
view all 9 authors...
This paper presents a flexible sub-wavelength lattice with period divided by a factor of Nbuilt from Ncoupled atomic states, and convert the lattice to a tunable superlattice with Nwells arrayed within a conventional half-wavelength unit cell.
#1Yangqian YanH-Index: 9
#2Shao-Liang Zhang (HUST: Huazhong University of Science and Technology)H-Index: 11
Last. Qi Zhou (Purdue University)H-Index: 17
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Synthetic spaces allow physicists to bypass constraints imposed by certain physical laws in experiments. Here, we show that a synthetic torus, which consists of a ring trap in the real space and internal states of ultracold atoms cyclically coupled by Laguerre-Gaussian Raman beams, could be threaded by a net effective magnetic flux through its surface---an impossible mission in the real space. Such synthetic Hall torus gives rise to a periodic lattice in the real dimension, in which the periodic...
#1R. P. AndersonH-Index: 17
Last. Ian B. SpielmanH-Index: 50
view all 9 authors...
We propose and realize a deeply sub-wavelength optical lattice for ultracold neutral atoms using Nresonantly Raman-coupled internal degrees of freedom. Although counter-propagating lasers with wavelength \lambdaprovided two-photon Raman coupling, the resultant lattice-period was \lambda/2N an Nfold reduction as compared to the conventional \lambda/2lattice period. We experimentally demonstrated this lattice built from the three F=1Zeeman states of a ^{87}{\rm Rb}Bose-Einstei...
#1Tomoki OzawaH-Index: 25
#2Hannah M. Price (University of Birmingham)H-Index: 15
In the field of quantum simulation of condensed matter phenomena by artificially engineering the Hamiltonian of an atomic, molecular or optical system, the concept of synthetic dimensions has recently emerged as a powerful way to emulate phenomena such as topological phases of matter, which are now of great interest across many areas of physics. The main idea of a synthetic dimension is to couple together suitable degrees of freedom, such as a set of internal atomic states, in order to mimic the...
#1Jeong Ho Han (SNU: Seoul National University)H-Index: 5
#2Jin Hyoun Kang (SNU: Seoul National University)H-Index: 5
Last. Yong-il Shin (SNU: Seoul National University)H-Index: 35
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We report the experimental realization of a synthetic three-leg Hall tube with ultracold fermionic atoms in a one-dimensional optical lattice. The legs of the synthetic tube are composed of three hyperfine spin states of the atoms, and the cyclic inter-leg links are generated by two-photon Raman transitions between the spin states, resulting in a uniform gauge flux \phipenetrating each side plaquette of the tube. Using quench dynamics, we investigate the band structure of the Hall tube system...
#1Chuan-Hsun LiH-Index: 3
#2Yangqian YanH-Index: 9
Last. Yong P. ChenH-Index: 64
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Interplay between matter and fields in physical spaces with nontrivial geometries gives rise to many exotic quantum phenomena. However, their realizations are often impeded by experimental constraints. Here, we realize a Bose-Einstein condensate (BEC) on a synthetic cylindrical surface subject to a net radial synthetic magnetic flux, topologically equivalent to a two-dimensional (2D) Hall ribbon with two edges connected. This cylindrical surface comprises a real spatial dimension and a curved sy...
#1Michael Lohse (LMU: Ludwig Maximilian University of Munich)H-Index: 1
#2Christian Schweizer (LMU: Ludwig Maximilian University of Munich)H-Index: 8
Last. Oded Zilberberg (ETH Zurich)H-Index: 26
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By implementing a 2D topological charge pump using ultracold bosonic atoms, the theoretically predicted 4D integer quantum Hall effect is confirmed experimentally.
#1Oded Zilberberg (ETH Zurich)H-Index: 26
#2Sheng Huang (University of Pittsburgh)H-Index: 17
Last. Mikael C. Rechtsman (PSU: Pennsylvania State University)H-Index: 40
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A 2D topological charge pump in a photonic waveguide array is used to observe boundary physics associated with the 4D quantum Hall effect experimentally.
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