Quantum walks in synthetic gauge fields with 3D integrated photonics
arXiv:1503.07172 · doi:10.1103/PhysRevA.95.013830
Abstract
There is great interest in designing photonic devices capable of disorder-resistant transport and information processing. In this work we propose to exploit 3D integrated photonic circuits in order to realize 2D discrete-time quantum walks in a background synthetic gauge field. The gauge fields are generated by introducing the appropriate phase shifts between waveguides. Polarization-independent phase shifts lead to an Abelian or magnetic field, a case we describe in detail. We find that, in the disordered case, the magnetic field enhances transport due to the presence of topologically protected chiral edge states which do not localize. Polarization-dependent phase shifts lead to effective non-Abelian gauge fields, which could be adopted to realize Rashba-like quantum walks with spin-orbit coupling. Our work introduces a flexible platform for the experimental study of multi-particle quantum walks in the presence of synthetic gauge fields, which paves the way towards topologically robust transport of many-body states of photons.
This version contains results for the case of two-particle quantum walks
References in corpus (14)
- Non-Abelian Anyons and Topological Quantum Computation
- Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
- Quantum walks of correlated particles
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Exploring Topological Phases With Quantum Walks
- Realization of quantum walks with negligible decoherence in waveguide lattices
- Discrete single-photon quantum walks with tunable decoherence
- Topologically Robust Transport of Photons in a Synthetic Gauge Field
- Optomechanical creation of magnetic fields for photons on a lattice
- Quantum Walk on a Line with Two Entangled Particles
- Thermally-Reconfigurable Quantum Photonic Circuits at Telecom Wavelength by Femtosecond Laser Micromachining
- Fermionic statistics suppresses Fano resonances
- Edge-state enhanced transport in a 2-dimensional quantum walk
- Moments of Coinless Quantum Walks on Lattices
Cited by in corpus (11)
- Enhancing quantum transport in a photonic network using controllable decoherence
- Electromagnetic lattice gauge invariance in two-dimensional discrete-time quantum walks
- Continuous-time quantum walks on planar lattices and the role of the magnetic field
- Nonlinear flip-flop quantum walks through potential barriers
- Second-order topological insulator in a coinless discrete-time quantum walk
- Enhanced quantum transport in chiral quantum walks
- Short time behavior of continuous time quantum walks on graphs
- Scalable Structure For Chiral Quantum Routing
- Quantum Walks in Weak Stochastic Gauge Fields
- Complementarity in quantum walks
- Response to glassy disorder in coin on spread of quantum walker