Related papers: Waveguide arrays interaction to second neighbors: Exact solution

Waveguide arrays interaction to second neighbors: Exact solution

URL: http://arxiv.org/abs/2501.12550v1
Date: Wed, 22 Jan 2025 00:05:20 GMT
Title: Waveguide arrays interaction to second neighbors: Exact solution
Authors: M. A. Tapia-Valerdi, I. Ramos-Prieto, F. Soto-Eguibar, H. M. Moya-Cessa,
Abstract summary: We provide an analytical framework for describing the propagation of light in waveguide arrays. The interaction up to second neighbors is taken into account, which makes for a more realistic setup.
Score: 0.0
License:
Abstract: We provide an analytical framework for describing the propagation of light in waveguide arrays, considering both infinite and semi-infinite cases. The interaction up to second neighbors is taken into account, which makes for a more realistic setup. We show that these solutions follow a distinctive structural pattern. This pattern reflects a transition from conventional Bessel functions to the lesser-known one-parameter generalized Bessel functions, offering new insights into the propagation dynamics in these systems.

Related papers

Variational waveguide QED simulators [58.720142291102135]
Waveguide QED simulators are made by quantum emitters interacting with one-dimensional photonic band-gap materials. Here, we demonstrate how these interactions can be a resource to develop more efficient variational quantum algorithms.
arXiv Detail & Related papers (2023-02-03T18:55:08Z)
The optical rogue wave patterns in coupled defocusing systems [3.5450828190071655]
We investigate rogue wave's spatial-temporal pattern in $N$ $(Ngeq2)$-component coupled defocusing nonlinear Schr"odinger equations. We establish the quantitative correspondence between modulation instability and rogue wave patterns.
arXiv Detail & Related papers (2022-12-15T11:34:57Z)
A Wave Packet Approach to Resonant Scattering [0.0]
Resonant transmission occurs when constructive interference results in the complete passage of an incoming wave through an array of barriers. We adopt wave packets with finite width to illustrate the deterioration of resonance with decreasing wave packet width. A comparison with exact numerical calculations shows excellent agreement, and provides insight into the scattering process.
arXiv Detail & Related papers (2022-10-31T03:17:36Z)
Quadrature nonreciprocity: unidirectional bosonic transmission without breaking time-reversal symmetry [0.0]
We extend the notion of nonreciprocity to unidirectional bosonic transport in systems with a time-reversal symmetric Hamiltonian. In contrast to standard nonreciprocity, this unidirectional transport manifests when the mode quadratures are resolved with respect to an external reference phase. Our work opens up new avenues for signal routing and quantum-limited amplification in bosonic systems.
arXiv Detail & Related papers (2022-07-18T11:37:54Z)
Tunneling Gravimetry [58.80169804428422]
We examine the prospects of utilizing matter-wave Fabry-P'erot interferometers for enhanced inertial sensing applications. Our study explores such tunneling-based sensors for the measurement of accelerations in two configurations.
arXiv Detail & Related papers (2022-05-19T09:22:11Z)
Heisenberg treatment of multiphoton pulses in waveguide QED with time-delayed feedback [62.997667081978825]
We propose a projection onto a complete set of states in the Hilbert space to decompose the multi-time correlations into single-time matrix elements. We consider the paradigmatic example of a two-level system that couples to a semi-infinite waveguide and interacts with quantum light pulses.
arXiv Detail & Related papers (2021-11-04T12:29:25Z)
Modeling displaced squeezed number states in waveguide arrays [0.0]
We present an exact analytical solution for a one-dimensional zigzag waveguide array with first and second neighbor interactions. It is found that the waveguide system possess a classical analog to the displaced squeezed number states.
arXiv Detail & Related papers (2021-06-30T19:05:07Z)
Collective radiation from distant emitters [63.391402501241195]
We show that the spectrum of the radiated field exhibits non-Markovian features such as linewidth broadening beyond standard superradiance. We discuss a proof-of-concept implementation of our results in a superconducting circuit platform.
arXiv Detail & Related papers (2020-06-22T19:03:52Z)
Implicit Neural Representations with Periodic Activation Functions [109.2353097792111]
Implicitly defined, continuous, differentiable signal representations parameterized by neural networks have emerged as a powerful paradigm. We propose to leverage periodic activation functions for implicit neural representations and demonstrate that these networks, dubbed sinusoidal representation networks or Sirens, are ideally suited for representing complex natural signals and their derivatives. We show how Sirens can be leveraged to solve challenging boundary value problems, such as particular Eikonal equations, the Poisson equation, and the Helmholtz and wave equations.
arXiv Detail & Related papers (2020-06-17T05:13:33Z)
Models of zero-range interaction for the bosonic trimer at unitarity [91.3755431537592]
We present the construction of quantum Hamiltonians for a three-body system consisting of identical bosons mutually coupled by a two-body interaction of zero range. For a large part of the presentation, infinite scattering length will be considered.
arXiv Detail & Related papers (2020-06-03T17:54:43Z)
Quantum state engineering in arrays of nonlinear waveguides [0.0]
We present derivations of the equations that describe the propagation of light through a nonlinear waveguide array. We then focus on parameter regimes where these equations can be solved analytically. We showcase the acquired insights by using one of the identified analytical solutions to exhibit the generation, optimization and scalability of spatial linear cluster states.
arXiv Detail & Related papers (2020-05-14T19:59:18Z)

This list is automatically generated from the titles and abstracts of the papers in this site.