# Quantum Electromagnetics: A New Look—Part I

@article{Chew2016QuantumEA, title={Quantum Electromagnetics: A New Look—Part I}, author={Weng Cho Chew and A. Y. Liu and Carlos Salazar-Lazaro and Wei E. I. Sha}, journal={IEEE Journal on Multiscale and Multiphysics Computational Techniques}, year={2016}, volume={1}, pages={73-84} }

Quantization of the electromagnetic field has been a fascinating and important subject since its inception. This subject topic will be discussed in its simplest terms so that it can be easily understood by a larger community of researchers. A new way of motivating Hamiltonian mechanics is presented together with a novel way of deriving the quantum equations of motion for electromagnetics. All equations of motion here are derived using the generalized Lorenz gauge with vector and scalar…

## 36 Citations

### Quantum electromagnetics: A new look

- Physics2016 Progress in Electromagnetic Research Symposium (PIERS)
- 2016

Quantization of the electromagnetic field (called quantum electromagnetics here) has been a fascinating and important subject since its introduction by Dirac in 1927. However, this knowledge is often…

### Dissipative Quantum Electromagnetics

- PhysicsIEEE Journal on Multiscale and Multiphysics Computational Techniques
- 2018

The dissipative quantum electromagnetics is introduced in a comprehensive manner as a field-matter-bath coupling problem. First, the matter is described by a cluster of Lorentz oscillators. Then the…

### Computational quantum electromagnetics: A future pathway for computational electromagnetics

- Physics2017 IEEE International Conference on Computational Electromagnetics (ICCEM)
- 2017

First, we emphasize the importance of Maxwell's equations (1865) [1] which have withstood the test of length scales, special relativity (1905) [2], and quantum theory (1927) [3]. Moreover, a…

### Quantum information preserving computational electromagnetics

- Physics
- 2019

We propose a new methodology, called numerical canonical quantization, to solve quantum Maxwell's equations useful for mathematical modeling of quantum optics physics, and numerical experiments on…

### CLASSICAL AND QUANTUM ELECTROMAGNETIC INTERFERENCES: WHAT IS THE DIFFERENCE?

- Physics
- 2020

The zeroing of second order correlation functions between output fields after interferences in a 50/50 beam splitter has been accepted decades-long in the quantum optics community as an indicator of…

### Macroscopic Circuit Quantum Electrodynamics: A New Look Toward Developing Full-Wave Numerical Models

- Physics, Computer ScienceIEEE Journal on Multiscale and Multiphysics Computational Techniques
- 2021

A new mathematical description of a commonly used circuit QED system, a transmon qubit coupled to microwave transmission lines, is provided, expressed in terms of three-dimensional vector fields, better suited to developing rigorous numerical solvers than approximate lumped element circuit descriptions used in the literature.

### Role of Classical Time Domain CEM Methods for Quantum Electromagnetics

- Physics2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting
- 2019

This work discusses a number of diverse computations that are needed in the engineering design of various devices leveraging these quantum effects and suggests that classical time domain computational electromagnetics methods will play an important role in the future of quantum applications.

### Quantum Electromagnetic Finite-Difference Time-Domain Solver

- PhysicsQuantum Reports
- 2020

We employ another approach to quantize electromagnetic fields in the coordinate space, instead of the mode (or Fourier) space, such that local features of photons can be efficiently, physically, and…

### Quantum Computational Electromagnetics

- Physics2020 XXXIIIrd General Assembly and Scientific Symposium of the International Union of Radio Science
- 2020

We investigate quantum information preserving computational electromagnetics. To do so, we propose two different methods which are (1) numerical canonical quantization and (2) quantum…

### An Introduction to the Transmon Qubit for Electromagnetic Engineers

- Physics
- 2021

One of the most popular approaches being pursued to achieve a quantum advantage with practical hardware are superconducting circuit devices. Although significant progress has been made over the…

## References

SHOWING 1-10 OF 104 REFERENCES

### The Quantum Theory of the Emission and Absorption of Radiation

- Physics
- 1927

The new quantum theory, based on the assumption that the dynamical variables do not obey the commutative law of multiplication, has by now been developed sufficiently to form a fairly complete theory…

### Vector Potential Electromagnetics with Generalized Gauge for Inhomogeneous Media: Formulation (Invited Paper)

- Physics
- 2014

The mixed vector and scalar potential formulation is valid from quantum theory to classical electromagnetics. The present rapid development in quantum optics applications calls for electromagnetic…

### Three-dimensional quantization of the electromagnetic field in dispersive and absorbing inhomogeneous dielectrics

- Physics
- 1998

A quantization scheme for the phenomenological Maxwell theory of the full electromagnetic field in an inhomogeneous three-dimensional, dispersive and absorbing dielectric medium is developed. The…

### Action of passive, lossless optical systems in quantum optics.

- PhysicsPhysical review. A, General physics
- 1987

It is shown that the effect of the optical instruments may be taken into account by introducing an apparatus function in a way which formally corresponds to that of classical optics, but the calculation of the corresponding convolution integrals is governed by operator ordering rules, which are essential in the case of quantum light fields.

### QED and the Men Who Made It: Dyson, Feynman, Schwinger and Tomonaga

- Physics
- 1994

In the 1930s, physics was in crisis. There appeared to be no way to reconcile the new theory of quantum mechanics with Einstein's theory of relativity. Several approaches had been tried and had…

### The Quantum Vacuum: An Introduction to Quantum Electrodynamics

- Physics
- 1993

(Chapter Heading): Zero-Point Energy in Early Quantum Theory. The Electromagnetic Vacuum. Some QED Vacuum Effects. Nonrelativistic Theory of Atoms in Vacuum. Interlude: Radiation Reaction. The Vacuum…

### Differential forms in electromagnetic field theory

- MathematicsIEEE Antennas and Propagation Society International Symposium. 1996 Digest
- 1996

The calculus of differential forms can be presented as concretely as vector analysis; and such a treatment is included. We give Maxwell's laws and their geometrical interpretation and show how…

### Multiple-scattering approach to interatomic interactions and superradiance in inhomogeneous dielectrics

- Physics
- 2004

The dynamics of a collection of resonant atoms embedded inside an inhomogeneous nondispersive and lossless dielectric is described with a dipole Hamiltonian that is based on a canonical quantization…

### MACROSCOPIC QUANTUM ELECTRODYNAMICS — CONCEPTS AND APPLICATIONS

- Physics
- 2008

In this article, we review the principles of macroscopic quantum electrodynamics and discuss a variety of applications of this theory to medium-assisted atom-field coupling and dispersion forces. The…

### Quantization of the electromagnetic field in dielectrics.

- PhysicsPhysical review. A, Atomic, molecular, and optical physics
- 1992

The dielectric constant of the medium is explicitly derived and is shown to satisfy the Kramers-Kronig relations and the exact eigenoperators for the coupled system are calculated.