Bose-Einstein condensates in quasiperiodic lattices: Bosonic Josephson junction, self-trapping, and multimode dynamics

Prates, Henrique C.; Zezyulin, Dmitry A.

doi:10.1103/physrevresearch.4.033219

Phys. Rev. Research

2022

DOI: 10.1103/physrevresearch.4.033219

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Bose-Einstein condensates in quasiperiodic lattices: Bosonic Josephson junction, self-trapping, and multimode dynamics

Henrique C. Prates

Dmitry A. Zezyulin

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Cited by 8 publications

References 37 publications

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Particle Current in Double-Path Josephson Junction under Rashba Interaction Connected to Bose-Einstein Condensate Reservoirs

Kawaguchi

2024

Braz J Phys

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We investigate the properties of a double-path Josephson junction connected to Bose-Einstein condensate reservoirs. By comparing the current in the proposed setup with that in a similar system connected to superconductors, we elucidate the key differences between the two systems. The systems are influenced by the Aharonov-Bohm effect, Rashba spin-orbit interaction, and phase difference of order parameters between left and right leads. Utilizing the Keldysh formalism, it turns out that, in the system connected to Bose-Einstein condensate reservoirs, the Josephson current includes higher frequency components of the phase difference between left and right reservoirs. Additionally, the dependence of critical current on energy level does not show the complete symmetric resonance but the Fano-type resonance with single or double peaks. These differences result from the bosonic statistics of reservoirs.

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Particle Current in Double-Path Josephson Junction under Rashba Interaction Connected to Bose-Einstein Condensate Reservoirs

Kawaguchi

2024

Braz J Phys

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Observation of Thouless pumping of light in quasiperiodic photonic crystals

Yang,

Fu,

Prates

et al. 2024

Proc. Natl. Acad. Sci. U.S.A.

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Topological transport is determined by global properties of physical media where it occurs and is characterized by quantized amounts of adiabatically transported quantities. Discovered for periodic potential, it was also explored in disordered and discrete quasiperiodic systems. Here, we report on experimental observation of pumping of a light beam in a genuinely continuous incommensurate photorefractive quasicrystal emulated by its periodic approximants. We observe a universal character of the transport which is determined by the ratio between periods of the constitutive sublattices, by the sliding angle between them, and by Chern numbers of the excited bands (in the time-coordinate space) of the approximant, for which pumping is adiabatic. This reveals that the properties of quasiperiodic systems determining the topological transport are tightly related to those of their periodic approximants and can be observed and studied in a large variety of physical systems. Our results suggest that the links between quasiperiodic systems and their periodic approximants go beyond the pure mathematical relations: They manifest themselves in physical phenomena which can be explored experimentally.

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Wannier solitons in spin-orbit-coupled Bose-Einstein condensates in optical lattices with a flat band

Wang

Zhang

2023

Phys. Rev. A

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Bose-Einstein condensates in quasiperiodic lattices: Bosonic Josephson junction, self-trapping, and multimode dynamics

Cited by 8 publications

References 37 publications

Particle Current in Double-Path Josephson Junction under Rashba Interaction Connected to Bose-Einstein Condensate Reservoirs

Particle Current in Double-Path Josephson Junction under Rashba Interaction Connected to Bose-Einstein Condensate Reservoirs

Observation of Thouless pumping of light in quasiperiodic photonic crystals

Wannier solitons in spin-orbit-coupled Bose-Einstein condensates in optical lattices with a flat band

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