Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Advances in Optical Technologies

Conservation Laws in Quantum-Correlation-Function Dynamics

Wei Wang, Mitsuo Wada Takeda

Published Jun 22, 2010• 2 citations
Publisher

Abstract

For a complete and lucid discussion of quantum correlation, we introduced two new first-order correlation tensors defined as linear combinations of the general coherence tensors of the quantized fields and derived the associated coherence potentials governing the propagation of quantum correlation. On the basis of these quantum optical coherence tensors, we further introduced new concepts of scalar, vector and tensor densities and presented some related properties, such as conservation laws and the wave-particle duality for quantum correlation, which provide new insights into photon statistics and quantum correlation.

DOI
10.1155/2010/171254

Related papers

Correlation Theory of Quantized Electromagnetic Fields. I. Dynamical Equations and Conservation Laws

C. L. Mehta, E. Wolf

Dynamical equations are derived, which describe the space-time development of second-order coherence tensors of a quantized electromagnetic field in vacuo. With the help of these equations, laws for the conservation of correlations are obtained. Some new non-negative-definiteness conditions which the coherence tensors obey are also established.

Physical Review•May 25, 1967•19 citations

Coherence Momentum in Second-order Vectorial Coherence Theory of Stationary Electromagnetic Fields

Wei Wang, Mitsuo Wada Takeda

In analog to the electromagnetic momentum, we introduce vector and tensor densities to the general coherence theory of vector electromagnetic fields, and present new conservation laws for the second- order correlation functions.

Frontiers in Optics•Jan 1, 2006•0 citations

Derivation of Conservation Laws Quantum-Correlation Theory

dibyendu Jana, Sobhan Kumar Sounda

This paper extends the foundational concept to second-order quantum correlation tensors, representing intensity-intensity correlations. As their application in diverse optical field experiments gaining importance, we investigate conserved quantities such as energy, linear and angular momentum and illuminate the dynamic nature of quantum correlations.

•Sep 19, 2023•0 citations

Derivation of Conservation Laws in 2nd order Quantum-Correlation Theory

Sobhan Kumar Sounda, dibyendu Jana

This paper extends the foundational concept to second-order quantum correlation tensors, representing intensity-intensity correlations.As their application in diverse optical field experiments gaining importance, we investigate conserved quantities such as energy, linear and angular momentum and illuminate the dynamic nature of quantum correlations.

arXiv:2308.11772•Aug 22, 2023•0 citations

Derivation of Conservation Laws Quantum-Correlation Theory

dibyendu Jana, Sobhan Kumar Sounda

This paper extends the foundational concept to second-order quantum correlation tensors, representing intensity-intensity correlations. As their application in diverse optical field experiments gaining importance, we investigate conserved quantities such as energy, linear and angular momentum and illuminate the dynamic nature of quantum correlations.

•Sep 19, 2023•0 citations

Correlation Theory of Quantized Electromagnetic Fields. II. Stationary Fields and Their Spectral Properties

C. L. Mehta, E. Wolf

In Paper I of this investigation, dynamical laws which describe the space-time development of second-order coherence tensors of a quantized electromagnetic field in vacuo, and the associated conservation laws, were derived. In the first part of the present paper these results are specialized to stationary fields. Second-order cross-spectral tensors for such fields are then introduced, and some of their properties are discussed. A relation analogous to the Wiener-Khintchine theorem of the theory of stationary random processes is derived. Various non-negative-definiteness conditions obeyed by the cross-spectral tensors are established, and equations which govern the spatial variation of these tensors are deduced. Certain analytic properties of the correlation tensors are derived, and some of their consequences are examined. It is also shown that in the limiting case when the two space-time arguments of the coherence tensors coincide, two of our conservation laws reduce to the averaged form of the energy and the momentum conservation laws of the electromagnetic field.

Physical Review•May 25, 1967•34 citations
For a complete and lucid discussion of quantum correlation, we introduced two new first-order correlation tensors defined as linear combinations of the general coherence tensors of the quantized fields and derived the associated coherence potentials governing the propagation of quantum correlation. On the basis of these quantum optical coherence tensors, we further introduced new concepts of scalar, vector and tensor densities and presented some related properties, such as conservation laws and the wave-particle duality for quantum correlation, which provide new insights into photon statistics and quantum correlation.
In Paper I of this investigation, dynamical laws which describe the space-time development of second-order coherence tensors of a quantized electromagnetic field in vacuo, and the associated conservation laws, were derived. In the first part of the present paper these results are specialized to stationary fields. Second-order cross-spectral tensors for such fields are then introduced, and some of their properties are discussed. A relation analogous to the Wiener-Khintchine theorem of the theory of stationary random processes is derived. Various non-negative-definiteness conditions obeyed by the cross-spectral tensors are established, and equations which govern the spatial variation of these tensors are deduced. Certain analytic properties of the correlation tensors are derived, and some of their consequences are examined. It is also shown that in the limiting case when the two space-time arguments of the coherence tensors coincide, two of our conservation laws reduce to the averaged form of the energy and the momentum conservation laws of the electromagnetic field.