# Third quantization of the electromagnetic field

@article{Franson2021ThirdQO, title={Third quantization of the electromagnetic field}, author={James D. Franson}, journal={Physical Review A}, year={2021} }

electromagnetic field is already second quantized, this corresponds to an additional or third quantization. The third-quantization approach can be used to perform certain quantum optics calculations in the Heisenberg picture that could only be performed in the Schrodinger picture when using the conventional secondquantized theory. This approach also allows an interesting generalization of quantum optics and quantum electrodynamics that is analogous to symmetry breaking in elementary particle…

## References

SHOWING 1-10 OF 28 REFERENCES

Third quantization: a general method to solve master equations for quadratic open Fermi systems

- Physics
- 2008

The Lindblad master equation for an arbitrary quadratic system of n fermions is solved explicitly in terms of diagonalization of a 4n?4n matrix, provided that all Lindblad bath operators are linear…

Photons and Atoms: Introduction to Quantum Electrodynamics

- Physics
- 1989

Classical Electrodynamics: The Fundamental Equations and the Dynamical Variables. Lagrangian and Hamiltonian Approach to Electrodynamics. The Standard Lagrangian and the Coulomb Gauge. Quantum…

Third quantization

- PhysicsPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
- 1989

The problem of describing a system of interacting four-dimensional universes is addressed. String theory provides a soluble model of interacting two-dimensional universes, and suggests a…

On the third quantization of general relativity

- Physics
- 1991

The author studies the possibility of defining a Hilbert space for n=(d+1)-dimensional general relativity in some asymptotic regions of Wheeler's superspace. The author distinguishes two asymptotic…

Squeezed states of light

- PhysicsNature
- 1983

The properties of a unique set of quantum states of the electromagnetic field are reviewed. These ‘squeezed states’ have less uncertainty in one quadrature than a coherent state. Proposed schemes for…

Measuring the Quantum State of Light

- Mathematics
- 2000

This is a well written book; it makes easy and pleasant reading for both experts and physicists working in other areas. The book is almost self-contained. It comprises six chapters. In the first…

Quantum Mechanics with Basic Field Theory

- Physics
- 2009

Students and instructors alike will find this organized and detailed approach to quantum mechanics ideal for a two-semester graduate course on the subject. This textbook covers, step-by-step,…

Oscillatons revisited

- Physics
- 2001

In this paper, we study some interesting properties of a spherically symmetric oscillating soliton star made of a real time-dependent scalar field which is called an oscillaton. The known final…

Quantum Theory of Optical Homodyne and Heterodyne Detection

- Physics
- 1987

Abstract The theory of balanced homodyne and heterodyne detection is developed for inputs in which the signal field is in an arbitrary quantum state and the local-oscillator field is in a highly…