Self-organized topological insulator due to cavity-mediated correlated tunneling

Chanda, Titas; Kraus, Rebecca; Morigi, Giovanna; Zakrzewski, Jakub

doi:10.22331/q-2021-07-13-501

Cited by 25 publications

(18 citation statements)

References 84 publications

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“…The effective Hamiltonian describing the bosons in this limit is a Bose-Hubbard model on a superlattice, where the tunneling elements are dimerized. Apart from the standard MI at integer fillings, this effective Hamiltonian has an insulating phase at ρ = 1/2 [36,68,69]. In this limit, the Néel-ordered spin state is doubly degenerate in the thermodynamic limit.…”

Section: Summary Of Resultsmentioning

confidence: 98%

Devil's staircase of topological Peierls insulators and Peierls supersolids

et al. 2022

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We consider a mixture of ultracold bosonic atoms on a one-dimensional lattice described by the XXZ-Bose-Hubbard model, where the tunneling of one species depends on the spin state of a second deeply trapped species. We show how the inclusion of antiferromagnetic interactions among the spin degrees of freedom generates a Devil's staircase of symmetry-protected topological phases for a wide parameter regime via a bosonic analog of the Peierls mechanism in electron-phonon systems. These topological Peierls insulators are examples of symmetry-breaking topological phases, where long-range order due to spontaneous symmetry breaking coexists with topological properties such as fractionalized edge states. Moreover, we identify a region of supersolid phases that do not require long-range interactions. They appear instead due to a Peierls incommensurability mechanism, where competing orders modify the underlying crystalline structure of Peierls insulators, becoming superfluid. Our work show the possibilities that ultracold atomic systems offer to investigate strongly-correlated topological phenomena beyond those found in natural materials.

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Section: Summary Of Resultsmentioning

confidence: 98%

Devil's staircase of topological Peierls insulators and Peierls supersolids

et al. 2022

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“…We now consider lattice scenarios where the atoms are already initially trapped in a strong 2D "external", static optical lattice below the superradiant phase transition. As before, photons scattered by the atoms from a transverse pump field into the cavity result in cavity-mediated long-range interactions, competing directly with the kinetic energy and the local interactions of the strongly correlated atoms [75,84,98,99,104,105,[223][224][225][226][227][228][229][230][231][232][233][234][235][236][237]. Here, for instance, the cavity-mediated long-range interactions can be incommensurate with respect to the external static lattice spacing, leading to frustration.…”

Section: Lattice Superradiance: Generalized Extended Hubbard Modelsmentioning

confidence: 97%

Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics

Mivehvar,

Piazza,

Donner

et al. 2021

Preprint

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We review the recent developments and the current status in the field of quantum-gas cavity QED. Since the first experimental demonstration of atomic self-ordering in a system composed of a Bose-Einstein condensate coupled to a quantized electromagnetic mode of a high-Q optical cavity, the field has rapidly evolved over the past decade. The composite quantum-gas-cavity systems offer the opportunity to implement, simulate, and experimentally test fundamental solid-state Hamiltonians, as well as to realize non-equilibrium many-body phenomena beyond conventional condensed-matter scenarios. This hinges on the unique possibility to design and control in open quantum environments photon-induced tunable-range interaction potentials for the atoms using tailored pump lasers and dynamic cavity fields. Notable examples range from Hubbard-like models with long-range interactions exhibiting a lattice-supersolid phase, over emergent magnetic orderings and quasicrystalline symmetries, to the appearance of dynamic gauge potentials and nonequilibrium topological phases. Experiments have managed to load spin-polarized as well as spinful quantum gases into various cavity geometries and engineer versatile tunablerange atomic interactions. This led to the experimental observation of spontaneous discrete and continuous symmetry breaking with the appearance of soft-modes as well as supersolidity, density and spin self-ordering, dynamic spin-orbit coupling, and non-equilibrium dynamical self-ordered phases among others. In addition, quantum-gas-cavity setups offer new platforms for quantum-enhanced measurements. In this review, starting from an introduction to basic models, we pedagogically summarize a broad range of theoretical developments and put them in perspective with the current and near future state-of-art experiments.

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“…1 (a)] [36]. Beyond shedding light on the topological properties of systems with long-range interactions, our motivation to study such a system stems from the latest developments in quantum hybrid systems such as atoms coupled to cavities [41,42] or waveguides, such as nanofibers or photonic crystals [19,43,44]. In these systems, the translationally symmetric light modes mediate all-to-all exchange interactions among the atoms [45][46][47].…”

Section: Introductionmentioning

confidence: 99%

Subradiant edge states in an atom chain with waveguide-mediated hopping

McDonnell¹,

Olmos²

2022

Preprint

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We analyze the topological and dynamical properties of a system formed by two chains of identical emitters coupled to a waveguide, whose guided modes induce all-to-all excitation hopping. We find that, in the single excitation limit, the bulk topological properties of the Hamiltonian that describes the coherent dynamics of the system are identical to the ones of a one-dimensional Su-Schrieffer-Heeger (SSH) model. However, due to the long-range character of the exchange interactions, we find weakening of the bulk-boundary correspondence. This is illustrated by the variation of the localization length and mass gap of the edge states encountered as we vary the lattice constant and offset between the chains. Most interestingly, we analytically identify parameter regimes where edge states arise which are fully localized to the boundaries of the chain, independently of the system size. These edge states are shown to be not only robust against positional disorder of the atoms in the chain, but also subradiant, i.e., dynamically stable even in the presence of inevitable dissipation processes, establishing the capacity of waveguide QED systems for the realization of symmetry protected topological phases.

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Self-organized topological insulator due to cavity-mediated correlated tunneling

Cited by 25 publications

References 84 publications

Devil's staircase of topological Peierls insulators and Peierls supersolids

Devil's staircase of topological Peierls insulators and Peierls supersolids

Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics

Subradiant edge states in an atom chain with waveguide-mediated hopping

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