Space-time propagation of photon pulses in dielectric
media,illustrations with beam splitters
- URL: http://arxiv.org/abs/2212.03203v1
- Date: Tue, 6 Dec 2022 18:22:22 GMT
- Title: Space-time propagation of photon pulses in dielectric
media,illustrations with beam splitters
- Authors: M. Federico, V. Dorier, S. Gu\'erin, H.R. Jauslin
- Abstract summary: Quantum excitation can be constructed directly on localized pulses of arbitrary shape.
The Hong-Ou-Mandel effect is described as a time dependent process in the Schr"odinger representation in Fock space.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Photons are the elementary quantum excitations of the electromagnetic field.
Quantization is usually constructed on the basis of an expansion in eigenmodes,
in the form of plane waves. Since they form a basis, other electromagnetic
configurations can be constructed by linear combinations. In this presentation
we discuss a formulation constructed in the general formalism of bosonic Fock
space, in which the quantum excitation can be constructed directly on localized
pulses of arbitrary shape. Although the two formulations are essentially
equivalent, the direct formulation in terms of pulses has some conceptual and
practical advantages, which we illustrate with some examples. The first one is
the passage of a single photon pulse through a beam splitter. The analysis of
this formulation in terms of pulses in Fock space shows that there is no need
to introduce "vacuum fluctuations entering through the unused port", as is
often done in the literature. Another example is the Hong-Ou-Mandel effect. It
is described as a time dependent process in the Schr\"odinger representation in
Fock space. The analysis shows explicitly how the two essential ingredients of
the Hong-Ou-Mandel effect are the same shape of the pulses and the bosonic
nature of photons. This formulation shows that all the phenomena involving
linear quantum optical devices can be described and calculated on the basis of
the time dependent solution of the corresponding classical Maxwell's equations
for pulses, from which the quantum dynamics in Fock space can be immediately
constructed.
Related papers
- Nonlinear dynamical Casimir effect and Unruh entanglement in waveguide QED with parametrically modulated coupling [83.88591755871734]
We study theoretically an array of two-level qubits moving relative to a one-dimensional waveguide.
When the frequency of this motion approaches twice the qubit resonance frequency, it induces parametric generation of photons and excitation of the qubits.
We develop a comprehensive general theoretical framework that incorporates both perturbative diagrammatic techniques and a rigorous master-equation approach.
arXiv Detail & Related papers (2024-08-30T15:54:33Z) - The wave function of a photoelectron near the center of a quantum vortex [0.0]
In a two-dimensional approximation, the probability density and current for a photoelectron near the localization of a quantum vortex are theoretically investigated.
The wave function in the momentum representation, which we found earlier, is simplified near zero, corresponding to the center of the vortex.
arXiv Detail & Related papers (2024-02-06T21:22:55Z) - The quantum oscillator model of electromagnetic excitations revisited [0.0]
Hermitian field operators describe photon-antiphoton pairs that couple locally to Fermionic matter and can be modeled classically.
Their commutation relations define a scalar product that can be the basis of a first quantized theory of single photons.
arXiv Detail & Related papers (2023-12-11T22:31:21Z) - Identification of quantum vortices in momentum space [0.0]
Vortices formed as a result of barrier-suppression ionization of a two-dimensional hydrogen atom by an ultrashort laser pulse are investigated.
The sensitivity to the phase of the wave function makes it possible to identify quantum vortices in the momentum space.
arXiv Detail & Related papers (2023-08-24T12:36:04Z) - Where are the photons in a transmission-line pulse? [0.0]
Current practice in quantum technology, using arbitrary waveform generators, can produce very short, few-cycle pulses in microwave structures.
We argue that these systems attain the limit of producing pure coherent quantum states.
We consider properties that photon counters and quantum non-demolition detectors must have to optimally convert and detect the photons in several example pulses.
arXiv Detail & Related papers (2023-07-27T10:31:12Z) - A theory of local photons with applications in quantum field theory [0.0]
In quantum optics it is usual to describe the basic energy quanta of the electromagnetic (EM) field, photons, in terms of monochromatic waves.
We take an alternative approach and quantise the free EM field in both one and three dimensions in terms of quanta that are perfectly localised.
Here we show that, unlike standard quantisation schemes, our approach predicts the causal propagation of localised photonic wave packets.
arXiv Detail & Related papers (2023-03-08T16:47:09Z) - Quantum vortices of strongly interacting photons [52.131490211964014]
Vortices are hallmark of nontrivial dynamics in nonlinear physics.
We report on the realization of quantum vortices resulting from a strong photon-photon interaction in a quantum nonlinear optical medium.
For three photons, the formation of vortex lines and a central vortex ring attests to a genuine three-photon interaction.
arXiv Detail & Related papers (2023-02-12T18:11:04Z) - Interaction of quantum systems with single pulses of quantized radiation [68.8204255655161]
We describe the interaction of a propagating pulse of quantum radiation with a localized quantum system.
By transformation to an appropriate picture, we identify the usual Jaynes-Cummings Hamiltonian between the scatterer and a superposition of the initial and final mode.
The transformed master equation offers important insights into the system dynamics and it permits numerically efficient solutions.
arXiv Detail & Related papers (2022-03-14T20:23:23Z) - Visualizing spinon Fermi surfaces with time-dependent spectroscopy [62.997667081978825]
We propose applying time-dependent photo-emission spectroscopy, an established tool in solid state systems, in cold atom quantum simulators.
We show in exact diagonalization simulations of the one-dimensional $t-J$ model that the spinons start to populate previously unoccupied states in an effective band structure.
The dependence of the spectral function on the time after the pump pulse reveals collective interactions among spinons.
arXiv Detail & Related papers (2021-05-27T18:00:02Z) - Theory of waveguide-QED with moving emitters [68.8204255655161]
We study a system composed by a waveguide and a moving quantum emitter in the single excitation subspace.
We first characterize single-photon scattering off a single moving quantum emitter, showing both nonreciprocal transmission and recoil-induced reduction of the quantum emitter motional energy.
arXiv Detail & Related papers (2020-03-20T12:14:10Z) - Quantum interactions with pulses of radiation [77.34726150561087]
This article presents a general master equation formalism for the interaction between travelling pulses of quantum radiation and localized quantum systems.
We develop a complete input-output theory to describe the driving of quantum systems by arbitrary incident pulses of radiation and the quantum state of the field emitted into any desired outgoing temporal mode.
arXiv Detail & Related papers (2020-03-10T08:35:18Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.