Topological charge pumping in the interacting bosonic Rice-Mele model

Hayward, A. L. C.; Schweizer, C.; Lohse, Michael; Aidelsburger, Monika; Heidrich-Meisner, Fabian

doi:10.1103/physrevb.98.245148

Cited by 63 publications

(62 citation statements)

References 108 publications

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“…As discussed by Hayward et al [31], the charge pumping in the RM model may as well be visualized by the evolution of the entanglement spectrum λ μ . In Fig.…”

Section: B Pair Pumpingmentioning

confidence: 98%

“…This concept was first introduced by Thouless [25] and may be studied by the generalization of the SSH to the Rice-Mele (RM) model [26]. Recently, with the observation of charge pumping in cold-atom experiments [4][5][6][7], the fate of Thouless pumping in interacting systems, such as the interacting fermionic or bosonic RM model, has attracted a great deal of interest [27][28][29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

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Topological charge pumping of bound bosonic pairs

2020

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Experiments with bosonic atoms in optical superlattices allow for the interesting possibility to study the adiabatic quantized pumping of bosonic atoms in the presence of interactions. We investigate this exotic phenomenon for bound bosonic pairs in the paradigmatic Su-Schrieffer-Heeger model where the ground state exhibits topological properties due to dimerized hoppings. We show that at unit filling there exist crossovers and phase transitions to bond-order phases of paired bosons known as the pair-bond-order phase for attractive interactions. The pair-bond-order phase is found to exhibit effective topological properties such as the presence of polarized paired edge states. This is further analyzed by studying the emergence and breakdown of the Thouless charge pumping of bound bosonic pairs by a parametric extension to the famous Rice-Mele model. Finally, we discuss how the pumping of paired bosons or different regimes of breakdown of charge pumping can be probed by state-of-the-art experiments, for example, with repulsively bound bosons.

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“…As discussed by Hayward et al [31], the charge pumping in the RM model may as well be visualized by the evolution of the entanglement spectrum λ μ . In Fig.…”

Section: B Pair Pumpingmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Topological charge pumping of bound bosonic pairs

2020

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“…For interacting system, the topological pumping of two interacting bosons [7] and many-body case [35,36] has been investigated. However, these interacting models have the topological single-particle counterpart in the interaction-free condition.…”

Section: Interaction-induced Thouless Pumpingmentioning

confidence: 99%

Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice

Lin

Lee

2020

Phys. Rev. A

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We study topological features of interacting spin-1 2 particles in one-dimensional state-dependent optical lattices. Due to the co-translational symmetry, we introduce the center-of-mass Zak phase with the help of center-of-mass momentum. There appear topological bound states composed by two particles in different spin states via tuning hopping and interaction strengths. Under symmetric open boundary conditions, topological edge bound-states appear as a result of the non-trivial center-ofmass Zak phase of bound-state band, which is protected by the center-of-mass inversion symmetry. The interaction plays a crucial role in the appearance of topological bound states and the system becomes completely trivial if the interaction is switched off. By periodically modulating the hopping and interaction strengths, we show how to implement topological Thouless pumping of bound states, in which the quantized shift of center-of-mass can be described by a non-trivial center-of-mass Chern number.arXiv:1910.09948v1 [cond-mat.mes-hall] 22 Oct 2019

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“…For large enough |∆| and |t2 − t1|, a gapped Mott insulating (MI) phase is realized, while for small |∆| or |t2 − t1| the system is superfluid (SF), see (b). By adiabatically changing ∆ as well as t1 and t2 along a loop within the MI phase (parametrization ϕ, solid blue in (b)) a topological Thouless pump can be realized [68] which is characterized by a many body Chern number. To measure this Chern number directly we couple a hole excitation of the MI to a two-component impurity in a conventional lattice, leading to the formation of a topological polaron (TP).…”

Section: A Modelmentioning

confidence: 99%

Topological polarons, quasiparticle invariants, and their detection in one-dimensional symmetry-protected phases

2019

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In the presence of symmetries, one-dimensional quantum systems can exhibit topological order, which in many cases can be characterized by a quantized value of the many-body geometric Zak or Berry phase. We establish that this topological Zak phase is directly related to the Zak phase of an elementary quasiparticle excitation in the system. By considering various systems, we establish this connection for a number of different interacting phases including: the Su-Schrieffer-Heeger model, p-wave topological superconductors, and the Haldane chain. Crucially, in contrast to the bulk many-body Zak phase associated with the ground state of such systems, the topological invariant associated with quasiparticle excitations (above this ground-state) exhibit a more natural route for direct experimental detection. To this end, we build upon recent work [Nature Communications 7, 11994 (2016)] and demonstrate that mobile quantum impurities can be used, in combination with Ramsey interferometry and Bloch oscillations, to directly measure these quasiparticle topological invariants. Finally, a concrete experimental realization of our protocol for dimerized Mott insulators in ultracold atomic systems is discussed and analyzed.

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Topological charge pumping in the interacting bosonic Rice-Mele model

Cited by 63 publications

References 108 publications

Topological charge pumping of bound bosonic pairs

Topological charge pumping of bound bosonic pairs

Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice

Topological polarons, quasiparticle invariants, and their detection in one-dimensional symmetry-protected phases

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