1Institute of Theoretical Physics, Jagiellonian University in Kraków, Łojasiewicza 11, 30-348 Kraków, Poland
2Theoretical Physics, Saarland University, Campus E2.6, D–66123 Saarbrücken, Germany
3Mark Kac Complex Systems Research Center, Jagiellonian University in Krakow, Łojasiewicza 11, 30-348 Kraków, Poland
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Abstract
Topological materials have potential applications for quantum technologies. Non-interacting topological materials, such as e.g., topological insulators and superconductors, are classified by means of fundamental symmetry classes. It is instead only partially understood how interactions affect topological properties. Here, we discuss a model where topology emerges from the quantum interference between single-particle dynamics and global interactions. The system is composed by soft-core bosons that interact via global correlated hopping in a one-dimensional lattice. The onset of quantum interference leads to spontaneous breaking of the lattice translational symmetry, the corresponding phase resembles nontrivial states of the celebrated Su-Schriefer-Heeger model. Like the fermionic Peierls instability, the emerging quantum phase is a topological insulator and is found at half fillings. Originating from quantum interference, this topological phase is found in “exact” density-matrix renormalization group calculations and is entirely absent in the mean-field approach. We argue that these dynamics can be realized in existing experimental platforms, such as cavity quantum electrodynamics setups, where the topological features can be revealed in the light emitted by the resonator.
Featured image: Interference-induced topological phases (with fractional particle-hole localizations on the edges) can be realized in a cavity quantum electrodynamics setup. The bosons are atoms (red spheres) confined by a one-dimensional optical lattice and dispersively interacting with a standing- wave mode of the cavity. The cavity standing-wave field is parallel to the lattice, its wavelength is twice the lattice periodicity, and the atoms are trapped at the nodes of the cavity mode. Correlated hopping originates from coherent scattering of laser light into the cavity, the laser Rabi frequency $Omega$ controls the strength of the interactions. The field at the cavity output is emitted with rate $kappa$ and provides information about the phase of the bosons.
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Cited by
[1] Farokh Mivehvar, Francesco Piazza, Tobias Donner, and Helmut Ritsch, “Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics”, arXiv:2102.04473.
[2] Titas Chanda, Daniel González-Cuadra, Maciej Lewenstein, Luca Tagliacozzo, and Jakub Zakrzewski, “Devil’s staircases of topological Peierls insulators and Peierls supersolids”, arXiv:2011.09228.
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