Topological characterizations of an extended Su–Schrieffer–Heeger model

Xie, Dizhou; Gou, Wei; Xiao, Teng; Gadway, Bryce; Yan, Bo

doi:10.1038/s41534-019-0159-6

Cited by 125 publications

(67 citation statements)

References 43 publications

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“…In optical lattices [53,54] this could be done with additional lasers [55], and the engineering of long-range hoppings is well suited in this case by selection of certain optical transitions [56]. In this setup, different topological features have been directly measured [57][58][59][60]. Trapped ions can also be used, as it is possible to locally address each ion, and their effective Hamiltonian can be reduced to that of single excitations with long-range hopping decaying as ∼ d −3 [73,75].…”

Section: Discussionmentioning

confidence: 99%

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Simulation of 1D Topological Phases in Driven Quantum Dot Arrays

et al. 2019

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We propose a driving protocol which allows to use quantum dot arrays as quantum simulators for 1D topological phases. We show that by driving the system out of equilibrium, one can imprint bond-order in the lattice (producing structures such as dimers, trimers, etc) and selectively modify the hopping amplitudes at will. Our driving protocol also allows for the simultaneous suppression of all the undesired hopping processes and the enhancement of the necessary ones, enforcing certain key symmetries which provide topological protection. In addition, we have discussed its implementation in a 12-QD array with two interacting electrons and found correlation effects in their dynamics, when configurations with different number of edge states are considered.

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Section: Discussionmentioning

confidence: 99%

“…This allows to discriminate between different topological phases and also opens up new possibilities for quantum state transfer protocols. Our proposal can also be implemented in other set-ups as cold atoms or trapped ions [53][54][55][56][57][58][59][60].…”

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confidence: 99%

Simulation of 1D Topological Phases in Driven Quantum Dot Arrays

et al. 2019

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“…ing with a BEC of 6 × 10 4 87 Rb atoms in a weak crossed-dipole trap with trapping frequencies 2π × (115, 40, 100)Hz [40], we create a one-dimensional momentum lattice along the y-direction, using a series of two-photon Bragg transitions to couple discrete momentum states |n (n ∈ Z) [32,41,42]. The Bragg transitions are driven by counter-propagating, far-detuned laser pairs with the wavelength λ = 1064 nm, whose multi-frequency components (with frequencies ω n ) are generated by acoustic optical modulators (AOMs).…”

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confidence: 99%

Tunable Nonreciprocal Quantum Transport through a Dissipative Aharonov-Bohm Ring in Ultracold Atoms

et al. 2020

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We report the experimental observation of tunable, non-reciprocal quantum transport of a Bose-Einstein condensate in a momentum lattice. By implementing a dissipative Aharonov-Bohm (AB) ring in momentum space and sending atoms through it, we demonstrate a directional atom flow by measuring the momentum distribution of the condensate at different times. While the dissipative AB ring is characterized by the synthetic magnetic flux through the ring and the laser-induced loss on it, both the propagation direction and transport rate of the atom flow sensitively depend on these highly tunable parameters. We demonstrate that the non-reciprocity originates from the interplay of the synthetic magnetic flux and the laser-induced loss, which simultaneously breaks the inversion and the time-reversal symmetries. Our results open up the avenue for investigating non-reciprocal dynamics in cold atoms, and highlight the dissipative AB ring as a flexible building element for applications in quantum simulation and quantum information. arXiv:2001.01859v1 [cond-mat.quant-gas]

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“…In simulations, the Zak phase, the winding number, the presence of edge states, or the entanglement spectrum have all served as smoking guns for topology. In experiments, the winding number was measured [46,47] for the SSH model and its generalization [48]. In these instances, the winding number is contained in the time evolution of the chiral mean displacement observable.…”

Section: The Ssh Modelmentioning

confidence: 99%

Topological entanglement properties of disconnected partitions in the Su-Schrieffer-Heeger model

et al. 2020

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We study the disconnected entanglement entropy, S^\mathrm{D}SD, of the Su-Schrieffer-Heeger model. S^\mathrm{D}SD is a combination of both connected and disconnected bipartite entanglement entropies that removes all area and volume law contributions and is thus only sensitive to the non-local entanglement stored within the ground state manifold. Using analytical and numerical computations, we show that S^\mathrm{D}SD behaves like a topological invariant, i.e., it is quantized to either 00 or 2\log(2)2log(2) in the topologically trivial and non-trivial phases, respectively. These results also hold in the presence of symmetry-preserving disorder. At the second-order phase transition separating the two phases, S^\mathrm{D}SD displays a finite-size scaling behavior akin to those of conventional order parameters, that allows us to compute entanglement critical exponents. To corroborate the topological origin of the quantized values of S^\mathrm{D}SD, we show how the latter remain quantized after applying unitary time evolution in the form of a quantum quench, a characteristic feature of topological invariants associated with particle-hole symmetry.

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Topological characterizations of an extended Su–Schrieffer–Heeger model

Cited by 125 publications

References 43 publications

Simulation of 1D Topological Phases in Driven Quantum Dot Arrays

Simulation of 1D Topological Phases in Driven Quantum Dot Arrays

Tunable Nonreciprocal Quantum Transport through a Dissipative Aharonov-Bohm Ring in Ultracold Atoms

Topological entanglement properties of disconnected partitions in the Su-Schrieffer-Heeger model

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