Two-photon self-Kerr nonlinearities for quantum computing and quantum optics

@article{Combes2018TwophotonSN,
  title={Two-photon self-Kerr nonlinearities for quantum computing and quantum optics},
  author={Joshua Combes and Daniel Jost Brod},
  journal={Physical Review A},
  year={2018}
}
The self-Kerr interaction is an optical nonlinearity that produces a phase shift proportional to the square of the number of photons in the field. At present, many proposals use nonlinearities to generate photon-photon interactions. For propagating fields these interactions result in undesirable features such as spectral correlation between the photons. Here we engineer a discrete network composed of cross-Kerr interaction regions to simulate a self-Kerr medium. The medium has effective long… 

Figures from this paper

Multiphoton pulses interacting with multiple emitters in a one-dimensional waveguide

We derive a generalized master equation for multiphoton pulses interacting with multiple emitters in a waveguide-quantum electrodynamics system where the emitter frequency can be modulated and the

Nonlinear optical properties and self-Kerr effect of Rydberg excitons

We show how to compute the nonlinear optical functions (absorption, reflection, and transmission) for a medium with Rydberg excitons, including the effect of the coherence between the electron-hole

Real-space time dynamics in waveguide QED: bound states and single-photon-pulse scattering

Real-space approaches are known to provide exact solutions for steady-state single-photon transport in quantum networks of various types of emitters. We show that these approaches can also provide

Quantum correlations in the Kerr Ising model

In this article we present a full description of the quantum Kerr Ising model—a linear optical network of parametrically pumped Kerr nonlinearities. We consider the non-dissipative Kerr Ising model

Nonlinear quantum logic with colliding graphene plasmons

Graphene has emerged as a promising platform to bring nonlinear quantum optics to the nanoscale, where a large intrinsic optical nonlinearity enables long-lived and actively tunable plasmon

Nonlinear effects on the dynamics of quantum harmonic modes coupled through angular momentum

We investigate nonlinear effects on the dynamics of entanglement and other quantum observables in a system of two harmonic modes coupled through angular momentum. The nonlinearity arises from a

Multidimensional super- and subradiance in waveguide quantum electrodynamics

We study the collective decay rates of multi-dimensional quantum networks in which one-dimensional waveguides form an intersecting hyper-rectangular lattice, with qubits located at the lattice

Non-Markovian super-superradiance in a linear chain of up to 100 qubits

We study non-Markovian enhancement effects in the spontaneous emission of a collective excitation in a linear chain of up to 100 qubits coupled to a 1D waveguide. We find that for a critical

Exact Markovian and non-Markovian time dynamics in waveguide QED: collective interactions, bound states in continuum, superradiance and subradiance

We develop a formalism for modelling exact time dynamics in waveguide quantum electrodynamics (QED) using the real-space approach. The formalism does not assume any specific configuration of emitters

Diagrammatic approach for analytical non-Markovian time evolution: Fermi's two-atom problem and causality in waveguide quantum electrodynamics

Non-Markovian time-evolution of quantum systems is a challenging problem, often mitigated by employing numerical methods or making simplifying assumptions. In this work, we address this problem in

References

SHOWING 1-10 OF 65 REFERENCES

Two photons co- and counterpropagating through N cross-Kerr sites

A cross-Kerr interaction produces a phase shift on two modes of light proportional to the number of photons in both modes and is sometimes called cross-phase modulation. Cross-Kerr nonlinearities

Correlated two-photon transport in a one-dimensional waveguide side-coupled to a nonlinear cavity

We investigate the transport properties of two photons inside a one-dimensional waveguide side-coupled to a single-mode nonlinear cavity. The cavity is filled with a nonlinear Kerr medium. Based on

Single-photon Kerr nonlinearities do not help quantum computation

By embedding an atom capable of electromagnetically induced transparency inside an appropriate photonic-crystal microcavity it may become possible to realize an optical nonlinearity that can impart a

Quantum theory of Kerr nonlinearity with Rydberg slow light polaritons

We study the propagation of Rydberg slow light polaritons through an atomic medium in the regime where the dispersion relation for the polaritons is well described by the slow light velocity alone.

Scattering of dark-state polaritons in optical lattices and quantum phase gate for photons

We discuss the quasi one-dimensional (1-D) scattering of two counterpropagating, dark-state polaritons (DSPs), each containing a single excitation. DSPs are formed from photons in media with

Impossibility of large phase shifts via the giant Kerr effect with single-photon wave packets

An approximate analytical solution is presented, along with numerical calculations, for a system of two single-photon wave packets interacting via an ideal, localized Kerr medium. It is shown that,

Chiral quantum optics

TLDR
E engineered directional photonic reservoirs could lead to the development of complex quantum networks that, for example, could simulate novel classes of quantum many-body systems.

Quantum propagation in a Kerr medium: lossless, dispersionless fiber

Intense light beams propagating in a lossless, dispersionless, single-mode optical fiber are subject to the Kerr effect, i.e., to the intensity-dependent refractive index of the fiber’s fused-silica

Emergent causality and the N-photon scattering matrix in waveguide QED

In this work we discuss the emergence of approximate causality in a general setup from waveguide QED—i.e. a one-dimensional propagating field interacting with a scatterer. We prove that this emergent

Qubit limit of cavity nonlinear optics

Many proposals for solid-state photonic implementations of quantum information processing utilize high-quality optical resonators to achieve strong coupling between guided fields and heterogeneously
...