Design of a Photonic Lattice Using Shortcuts to Adiabaticity
arXiv:1405.5319 · doi:10.1103/PhysRevA.90.023811
Abstract
In this article we use the method of shortcuts to adiabaticity to design a photonic lattice (array of waveguides) which can drive the input light to a controlled location at the output. The output position in the array is determined by functions of the propagation distance along the waveguides, which modulate the lattice characteristics (index of refraction, first and second neighbor couplings). The proposed coupler is expected to posses the robustness properties of the design method, coming from its adiabatic nature, and also to have a smaller footprint than purely adiabatic couplers. The present work provides a very interesting example where methods from quantum control can be exploited to design lattices with desired input-output properties.
References in corpus (18)
- Fast optimal frictionless atom cooling in harmonic traps
- Shortcuts to adiabaticity
- Complete controllability of quantum systems
- Fast atomic transport without vibrational heating
- Supersymmetric Optical Structures
- Coherent Quantum Transport in Photonic Lattices
- Supersymmetric mode converters
- Fractional Bloch oscillations in photonic lattices
- Frictionless atom cooling in harmonic traps: a time-optimal approach
- Shortcuts to adiabaticity for trapped ultracold gases
- Classical analogue of displaced Fock states and quantum correlations in Glauber-Fock photonic lattices
- Finite Controllability of Infinite-Dimensional Quantum Systems
- Ermakov-Lewis symmetry in photonic lattices
- Squeezing and robustness of frictionless cooling strategies
- Probing the effects of interaction in Anderson localization using linear photonic lattices
- Ehrenfest Dynamics and Frictionless Cooling Methods
- Phase transition to spatial Bloch-like oscillation in squeezed photonic lattices
- Anti-phase synchronization of phase-reduced oscillators using open-loop control
Cited by in corpus (16)
- Shortcuts to adiabaticity: concepts, methods, and applications
- Engineered swift equilibration of a Brownian particle
- Generalized Shortcuts to Adiabaticity and Enhanced Robustness Against Decoherence
- Thermal bath Engineering for Swift Equilibration
- Experimental Implementation of Generalized Transitionless Quantum Driving
- Efficient Generation of the Triplet Bell State Between Coupled Spins Using Transitionless Quantum Driving and Optimal Control
- Maximizing entanglement in bosonic Josephson junctions using shortcuts to adiabaticity and optimal control
- Generalized transitionless quantum driving for open quantum systems
- Shortcuts to adiabaticity for an interacting Bose-Einstein condensate via exact solutions of the generalized Ermakov equation
- Efficient entanglement generation between exciton-polaritons using shortcuts to adiabaticity
- Shortcut to adiabaticity in full-wave optics for ultra-compact waveguide junctions
- Optical realization of the dissipative quantum oscillator
- The invariant based investigation of Shortcut to Adiabaticity for Quantum Harmonic Oscillators under time varying frictional force
- Fast and robust production of quantum superposition states by the fractional shortcut to adiabaticity
- Discrete Parametric Oscillation and Nondiffracting Beams in a Glauber-Fock Oscillator
- Adiabatic Dynamics and Shortcuts to Adiabaticity: Fundamentals and Applications