Few-Photon Scattering in Dispersive Waveguides with Multiple Qubits

Abstract

We extend the Krylov-subspace based time-dependent numerical simulation technique for a qubit interacting with photons in a waveguide to the multiple qubit case. We analyze photon scattering from two qubits analytically and derive expressions for the bound states in the continuum (BIC). We show how the BIC can be excited. We use the BIC in a recent Pauli-Z gate proposal involving decoherence free subspaces and obtain the gate fidelity as a function of the gate parameters. The techniques presented in the paper are useful for investigating the time evolution of quantum gates and other many-body systems with multiple quenches in the Hamiltonian.

4 pages, 3 figures, ancillary files include the source code and details of the derivations, published version with updated structure, added references, more discussion, additionally includes relevant references that could not fit on the published version

References in corpus (8)

• Photon-mediated interactions between distant artificial atoms
• Atom-field dressed states in slow-light waveguide QED
• Exact diagonalization: the Bose-Hubbard model as an example
• Scattering of two photons from two distant qubits: Exact solution
• Chains with loops - synthetic magnetic fluxes and topological order in one-dimensional spin systems
• Green's Function Formalism for Waveguide QED Applications
• Time-Dependent Numerical Renormalization Group Method for Multiple Quenches: Application to General Pulses and Periodic Driving
• Effects of Modal Dispersion on Few Photon - Qubit Scattering in One-Dimensional Waveguides

Cited by in corpus (9)

• Microwave photonics with superconducting quantum circuits
• Non-Markovian Dynamics of a Qubit Due to Single-Photon Scattering in a Waveguide
• Two photons co- and counter-propagating through $N$ cross-Kerr sites
• Bound state in the continuum by spatially separated ensembles of atoms in a coupled-cavity array
• The Timescales of Quantum Breaking
• Quantum scattering theory of Fock states in high-dimensional spaces
• FDTD: solving 1+1D delay PDE in parallel
• On the dynamics of two photons interacting with a two-qubit coherent feedback network}
• On the response of a two-level system to two-photon inputs