Discrete-Time Quantum-Walk & Floquet Topological Insulators via Distance-Selective Rydberg-Interaction

Abstract

This article proposes the first discrete-time implementation of Rydberg quantum walk in multi-dimensional spatial space that could ideally simulate different classes of topological insulators. Using distance-selective exchange-interaction between Rydberg excited atoms in an atomic array with dual lattice-constants, the new setup operates both coined and coin-less models of discrete-time quantum walk (DTQW). Here, complicated coupling tessellations are performed by a global laser that exclusively excites the site at the anti-blockade region. The long-range interaction provides a new feature of designing different topologically ordered periodic boundary conditions. Limiting the Rydberg population to two excitations, coherent QW over hundreds of lattice sites and steps are achievable with the current technology. These features would improve the performance of this quantum machine in running the quantum search algorithm over topologically ordered databases as well as diversifying the range of topological insulators that could be simulated.

References in corpus (24)

• Probing many-body dynamics on a 51-atom quantum simulator
• Universal computation by quantum walk
• Exponential algorithmic speedup by quantum walk
• Spatial search by quantum walk
• Single-Spin Addressing in an Atomic Mott Insulator
• Quantum Walk in Position Space with Single Optically Trapped Atoms
• Exploring Topological Phases With Quantum Walks
• Universal computation by multi-particle quantum walk
• Strongly Correlated Quantum Walks in Optical Lattices
• Quasiclassical calculations of BBR-induced depopulation rates and effective lifetimes of Rydberg nS, nP and nD alkali-metal atoms with n < 80
• Coherent Excitation Transfer in a Spin Chain of Three Rydberg Atoms
• Cooling a single atom in an optical tweezer to its quantum ground state
• 2000-times repeated imaging of strontium atoms in clock-magic tweezer arrays
• Parallel low-loss measurement of multiple atomic qubits
• Realization of Fractional Chern Insulators in the Thin-Torus-Limit with Ultracold Bosons
• Quantum simulation of energy transport with embedded Rydberg aggregates
• Photon-photon gate via the interaction between two collective Rydberg excitations
• Decoherence Models for Discrete-Time Quantum Walks and their Application to Neutral Atom Experiments
• Circularizing Rydberg atoms with time-dependent optical traps
• One-Dimensional Coinless Quantum Walks
• On recurrence of random walks with long-range steps generated by fractional Laplacian matrices on regular networks and simple cubic lattices
• Rydberg Noisy-Dressing and applications in making soliton-molecules and droplet quasi-crystals
• How to Compute Using Quantum Walks
• Electron cloud design for Rydberg multi-qubit gates

Cited by in corpus (11)

• Tweezer-programmable 2D quantum walks in a Hubbard-regime lattice
• All optical quantum information processing via a single step Rydberg blockade gate
• Entanglement dynamics and phase transitions of the Floquet cluster spin chain
• Hyperfine Structure of $n{P}_{1/2}$ Rydberg States in ${}^{85}$Rb
• Relative homotopy approach to topological phases in quantum walks
• Second-order topological insulator in periodically driven lattice
• Driving alkali Rydberg transitions with a phase-modulated optical lattice
• Ultratight confinement of atoms in a Rydberg empowered optical lattice
• Fast multicomponent cat-state generation under resonant or strong-dressing Rydberg-Kerr interaction
• Floquet topological systems with flat bands: Edge modes, Berry curvature, and Orbital magnetization
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays