Topological spin phases of trapped Rydberg excitons in Cu${}_2$O

Abstract

We study theoretically Rydberg excitons in one-dimensional chains of traps in Cu${}_2$O coupled via the van der Waals interaction. The triplet of optically active $p$-shell states acts as an effective spin-$1$ and the interactions between the excitons are strongly spin-dependent. We predict that the system {has the} topological Haldane phase with the diluted antiferromagnetic order, long-range string correlations, and finite excitation gap. We also analyze the effect of the trap geometry and interactions anisotropy on the Rydberg exciton spin states and demonstrate that a rich spin phase diagram can be realized showing high tunability of the Rydberg exciton platform.

arXiv commentmain text (5 pages, 4 figures) + supplement (5 pages, 5 figures)

References in corpus (38)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Non-Abelian Anyons and Topological Quantum Computation
• Classification of topological quantum matter with symmetries
• Quantum information with Rydberg atoms
• Entanglement in quantum critical phenomena
• Probing many-body dynamics on a 51-atom quantum simulator
• Efficient classical simulation of slightly entangled quantum computations
• Experimental realisation of the topological Haldane model
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Efficient simulation of one-dimensional quantum many-body systems
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Symmetry protection of topological order in one-dimensional quantum spin systems
• Exciton-polariton topological insulator
• Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
• Giant Rydberg Excitons in Cuprous Oxide
• Topological Exciton Bands in Moiré Heterojunctions
• Topological Polaritons
• Polariton $\mathbb{Z}$ Topological Insulator
• Matrix-product-groundstates for one-dimensional spin-1 quantum antiferromagnets
• Ground State Phase Diagram of S=1 XXZ Chains with Uniaxial Single-Ion-Type Anisotropy
• Spin-exchange interactions of spin-one bosons in optical lattices: singlet, nematic and dimerized Phases
• Post-Matrix Product State Methods: To tangent space and beyond
• Chiral Bogoliubons in Nonlinear Bosonic Systems
• Numerical study of the chiral ${\mathbb{Z}}_3$ quantum phase transition in one spatial dimension
• Exciton-exciton interaction in quantum wells. Optical properties and energy and spin relaxation
• Elementary excitations in gapped quantum spin systems
• Observation of high angular momentum excitons in cuprous oxide
• Transfer Matrices and Excitations with Matrix Product States
• Scaling laws of Rydberg excitons
• Impact of the valence band structure of Cu${}_2$O on excitonic spectra
• Topological two-body bound states in the interacting Haldane model
• Interactions between Rydberg excitons in Cu${}_2$O
• Field-dependent thermal transport in the Haldane chain compound NENP
• Optical Properties of Rydberg Excitons and Polaritons
• Magnetoexcitons break antiunitary symmetries
• Excitations of anisotropic spin-1 chains with matrix product ground state
• Realizing the Haldane Phase with Bosons in Optical Lattices
• Magnetic phase diagram and quantum phase transitions in a two-species boson model

Cited by in corpus (11)

• Observation of Rydberg moiré excitons
• Interaction of charged impurities and Rydberg excitons in cuprous oxide
• Electromagnetically induced transparency with Cu${}_2$O excitons in the presence of phonon coupling
• Plasma-enhanced interaction and optical nonlinearities of Cu${}_2$O Rydberg excitons
• High resolution nanosecond spectroscopy of even-parity Rydberg excitons in Cu${}_2$O
• Nonclassical Light from Exciton Interactions in a Two-Dimensional Quantum Mirror
• Magnetic Phases of Spatially-Modulated Spin-1 Chains in Rydberg Excitons: Classical and Quantum Simulations
• Copper plasmonics with excitons
• Optical to microwave frequency conversion with Rydberg excitons
• Polarized edge state emission from topological spin phases of trapped Rydberg excitons in Cu${}_2$O
• Refined Phase Diagram for a Spin-1 System Exhibiting a Haldane Phase