Splitting of topological charge pumping in an interacting two-component fermionic Rice-Mele Hubbard model

Bertok, Eric; Heidrich-Meisner, Fabian; Aligia, A. A.

doi:10.1103/physrevb.106.045141

Cited by 19 publications

(9 citation statements)

References 62 publications

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“…When the maximum energy offset between two neighboring sites 2(Δ 0 – Δ ext ) becomes smaller than the Hubbard interaction, formation of double occupancies is prohibited, and one atom is left in the higher-energy site of a unit cell, which then drifts in the opposite direction. ( E ) The critical point in the δ-Δ plane is split into two in the presence of repulsive Hubbard U ( 28 ). When the pump trajectory encloses both critical points, a quantized drift is expected, as in the noninteracting system.…”

Section: Effects Of Interactionsmentioning

confidence: 99%

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Reversal of quantized Hall drifts at noninteracting and interacting topological boundaries

Zhu,

Gächter,

Walter

et al. 2024

Science

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The transport properties of gapless edge modes at boundaries between topologically distinct domains are of fundamental and technological importance. We experimentally studied long-distance quantized Hall drifts in a harmonically confined topological pump of ultracold fermionic atoms. We found that quantized drifts halt and reverse their direction when the atoms reach a critical slope of the confining potential, revealing the presence of a topological boundary. The drift reversal corresponded to a band transfer between a band with Chern number C = +1 and another with C = –1 through a gapless edge mode, in agreement with the bulk-edge correspondence for noninteracting particles. Nonzero repulsive Hubbard interactions led to the emergence of an additional edge in the system through a mechanism in which pairs of fermions are split.

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Section: Effects Of Interactionsmentioning

confidence: 99%

“…2A). Numerical simulations have shown that a repulsive Hubbard U can split the critical point at the origin into two separate ones ( 28 ). The topological invariant associated with enclosing one of the two critical points is a 2π winding of the charge Berry phase compared with a winding of 4π in the noninteracting case.…”

Section: Effects Of Interactionsmentioning

confidence: 99%

Reversal of quantized Hall drifts at noninteracting and interacting topological boundaries

Zhu,

Gächter,

Walter

et al. 2024

Science

View full text Add to dashboard Cite

show abstract

“…When the maximum energy offset between two neighbouring sites 2 (∆0 − ∆ext) becomes smaller than the Hubbard interaction, formation of double occupancies is prohibited and one atom is left in the higher-energy site of a unit cell, which then drifts in the opposite direction. (E) The critical point in the δ-∆ plane is split into two in the presence of repulsive Hubbard U[35]. When the pump trajectory encloses both critical points, a quantised drift is expected, as in the non-interacting system.…”

mentioning

confidence: 99%

“…2A). Numerical simulations have shown that a repulsive Hubbard U can split the critical point at the origin into two separate ones [35], each retaining half the original topological charge. The distance between the new critical points is approximately U up to a correction on the order of the tunnelling t [36].…”

mentioning

confidence: 99%

Reversal of quantised Hall drifts at non-interacting and interacting topological boundaries

Zhu¹,

Gächter²,

Walter³

et al. 2023

Preprint

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“…As the basis for generating multiparticle quantum correlations, inter-particle interaction plays a crucial role in collective quantum phenomena, quantum phase transitions, and quantum information processing. Recently, topological pumping in interacting quantum many-body systems has garnered significant interest [29][30][31][32][33][34][35][36][37], followed by pioneering experiments with nonlinear photonic waveguides [15,18] and ultracold atoms with tunable Hubbard interactions [38]. However, the interplay between topology and multi-particle correlations remains hardly explored experimentally, partly because of the challenge in creating and probing siteresolved multi-particle correlations.…”

mentioning

confidence: 99%

Interaction-induced topological pumping in a solid-state quantum system

Tao¹,

Huang²,

Niu³

et al. 2023

Preprint

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As the basis for generating multi-particle quantum correlations, inter-particle interaction plays a crucial role in collective quantum phenomena, quantum phase transitions, and quantum information processing. It can profoundly alter the band structure of quantum many-body systems and give rise to exotic topological phenomena. Conventional topological pumping, which has been well demonstrated in driven linear or noninteracting systems, may break down in the presence of strong interaction. However, the interplay between band topology and interaction could also induce emergent topological pumping of interacting particles, but its experimental realization has proven challenging. Here we demonstrate interaction-induced topological pumping in a solid-state quantum system comprising an array of 36 superconducting qubits. With strong interaction inherent in the qubits and site-resolved controllability of the lattice potential and hopping strength, we realize the topological Thouless pumping of single and two bounded particles. Beyond these topological phenomena with linear or noninteracting counterparts, we also observe topologically resonant tunneling and asymmetric edge-state transport of interacting particles. Our work creates a paradigm for multi-particle topological effects, and provides a new pathway to the study of exotic topological phenomena, many-body quantum transport, and quantum information transfer.

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Splitting of topological charge pumping in an interacting two-component fermionic Rice-Mele Hubbard model

Cited by 19 publications

References 62 publications

Reversal of quantized Hall drifts at noninteracting and interacting topological boundaries

Reversal of quantized Hall drifts at noninteracting and interacting topological boundaries

Reversal of quantised Hall drifts at non-interacting and interacting topological boundaries

Interaction-induced topological pumping in a solid-state quantum system

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