404 citations · 1.1k across the 53 of their papers we have counts for
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Properties of Spin and Orbital Angular Momenta of Light
Arvind, S. Chaturvedi, N. Mukunda
This paper analyzes the algebraic and physical properties of the spin and orbital angular momenta of light in the quantum mechanical framework. The consequences of the fact that th…
Symplectic group methods and the Arthurs Kelly model of measurement in quantum mechanics
Arvind, S. Chaturvedi, N. Mukunda
We study the use of methods based on the real symplectic groups in the analysis of the Arthurs-Kelly model of proposed simultaneous measurements of position an…
Geometric phases for finite-dimensional systems -- the roles of Bargmann Invariants, Null Phase Curves and the Schwinger Majorana SU(2) framework
K S Akhilesh, Arvind, S Chaturvedi +2
We present a study of the properties of Bargmann Invariants (BI) and Null Phase Curves (NPC) in the theory of the geometric phase for finite dimensional systems. A recent suggestio…
Geometric Phase as the Key to Interference in Phase Space : Integral Representations for States and Matrix Elements
Mayukh N. Khan, S. Chaturvedi, N. Mukunda +1
We apply geometric phase ideas to coherent states to shed light on interference phenomenon in the phase space description of continuous variable Cartesian quantum systems. In contr…
On `orbital' and `spin' angular momentum of light in classical and quantum theories -- a general framework
Arvind, Subhash Chaturvedi, N. Mukunda
We develop a general framework to analyze the two important and much discussed questions concerning (a) `orbital' and `spin' angular momentum carried by light and (b) the paraxial…
Entanglement and Complete Positivity: Relevance and Manifestations in Classical Scalar Wave Optics
Arvind, S. Chaturvedi, N. Mukunda
Entanglement of states and Complete Positivity of maps are concepts that have achieved physical importance with the recent growth of quantum information science. They are however m…
A classical optical approach to the `non-local Pancharatnam-like phases' in Hanbury-Brown-Twiss correlations
Arvind, S. Chaturvedi, N. Mukunda
We examine a recent proposal to show the presence of nonlocal Pancharatnam type geometric phases in a quantum mechanical treatment of intensity interferometry measurements upon inc…
Null Phase Curves and Manifolds in Geometric Phase Theory
S. Chaturvedi, E. Ercolessi, G. Morandi +4
Bargmann invariants and null phase curves are known to be important ingredients in understanding the essential nature of the geometric phase in quantum mechanics. Null phase manifo…
Invariant theoretic approach to uncertainty relations for quantum systems
J Solomon Ivan, Krishna Kumar Sabapathy, N. Mukunda +1
We present a general framework and procedure to derive uncertainty relations for observables of quantum systems in a covariant manner. All such relations are consequences of the po…
Entanglement and nonclassicality for multi-mode radiation field states
J. Solomon Ivan, S. Chaturvedi, E. Ercolessi +4
Nonclassicality in the sense of quantum optics is a prerequisite for entanglement in multi-mode radiation states. In this work we bring out the possibilities of passing from the fo…
Wigner distributions for finite state systems without redundant phase point operators
S. Chaturvedi, N. Mukunda, R. Simon
We set up Wigner distributions for state quantum systems following a Dirac inspired approach. In contrast to much of the work on this case, requiring a phase spac…
Non-quantum entanglement and a complete characterization of pre-Mueller and Mueller matrices in polarization optics
B. Neethi Simon, Sudhavathani Simon, N. Mukunda +4
The Mueller-Stokes formalism which governs conventional polarization optics is formulated for plane waves, and thus the only qualification one could demand of a real ma…
Non-quantum entanglement resolves a fundamental issue in Polarization optics
B. Neethi Simon, Sudhavathani Simon, F. Gori +4
The issue raised in this paper is classical in the sense of being ancient: which subset of 4X4 matrices should be accepted as physical Mueller matrices in polarization optics? Non-…
Hamilton's theory of turns revisited
N. Mukunda, S. Chaturvedi, R. Simon
We present a new approach to Hamilton's theory of turns for the groups SO(3) and SU(2) which renders their properties, in particular their composition law, nearly trivial and immed…
Two elementary proofs of the Wigner theorem on symmetry in quantum mechanics
R. Simon, N. Mukunda, S. Chaturvedi +1
In quantum theory, symmetry has to be defined necessarily in terms of the family of unit rays, the state space. The theorem of Wigner asserts that a symmetry so defined at the leve…
Schwinger Representation for the Symmetric Group: Two explicit constructions for the Carrier Space
S. Chaturvedi, G. Marmo, N. Mukunda +1
We give two explicit construction for the carrier space for the Schwinger representation of the group . While the first relies on a class of functions consisting of monomials…
Ray space Riccati evolution and geometric phases for N-level quantum systems
S. Chaturvedi, E. Ercolessi, G. Marmo +3
We present a simple derivation of the matrix Riccati equations governing the reduced dynamics as one descends from the group U(N) describing the Schroedinger evolution of an N-leve…
Generation of NPT Entanglement from Nonclassical Photon Statistics
J. Solomon Ivan, N. Mukunda, R. Simon
With a product state of the form $ρ_{in} = ρ_a\otimes|0>_b_b< 0|$ as input, the output two-mode state , of the beam splitter is shown to be NPT whenever the photon num…
Hamilton's Turns for the Lorentz Group
R. Simon, S. Chaturvedi, V. Srinivasan +1
Hamilton in the course of his studies on quaternions came up with an elegant geometric picture for the group SU(2). In this picture the group elements are represented by ``turns'',…
The Sampling Theorem and Coherent State Systems in Quantum Mechanics
Arvind, S. Chaturvedi, N. Mukunda +1
The well known Poisson Summation Formula is analysed from the perspective of the coherent state systems associated with the Heisenberg--Weyl group. In particular, it is shown that…
Phase-space descriptions of operators and the Wigner distribution in quantum mechanics II. The finite dimensional case
S. Chaturvedi, E. Ercolessi, G. Marmo +3
A complete solution to the problem of setting up Wigner distribution for N-level quantum systems is presented. The scheme makes use of some of the ideas introduced by Dirac in the…
Phase-space descriptions of operators and the Wigner distribution in quantum mechanics I. A Dirac inspired view
S. Chaturvedi, E. Ercolessi, G. Marmo +3
Drawing inspiration from Dirac's work on functions of non commuting observables, we develop a fresh approach to phase space descriptions of operators and the Wigner distribution in…
Wigner distributions for finite dimensional quantum systems: An algebraic approach
S. Chaturvedi, E. Ercolessi, G. Marmo +3
We discuss questions pertaining to the definition of `momentum', `momentum space', `phase space', and `Wigner distributions'; for finite dimensional quantum systems. For such syste…
The Schwinger Representation of a Group: Concept and Applications
S. Chaturvedi, G. Marmo, N. Mukunda +2
The concept of the Schwinger Representation of a finite or compact simple Lie group is set up as a multiplicity-free direct sum of all the unitary irreducible representations of th…