Journal ArticleDOI
Invariant-algebraic approach to problems of quantum optics
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In this article, a general approach is formulated for analyzing algebraic models of quantum composite systems with an internal symmetry described by group G. The case G = SU(2) is examined in detail as applied to the analysis of polarization invariance in quantum optics.Abstract:
A general approach is formulated for analyzing algebraic models of quantum composite systems with an internal symmetry described by group G. The case G = SU(2) is examined in detail as applied to the analysis of polarization invariance in quantum optics. A new class of fully depolarizable quantum states of light (scalar biphotons) is defined and investigated. Certain interactions of scalar biphoton light with material media are considered in the context of Dicke and Jaynes-Cummings models.read more
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G-invariant polynomial extensions of Lie algebras in quantum many-body physics
TL;DR: In this paper, a new class of Lie-algebraic structures gd is revealed in some multi-particle processes of quantum physics having internal symmetry groups Ginv. They are extensions of some Lie algebras h (via coset construction) by G-invariant h-tensors v which are polynomials in boson operators.
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Polarization structure of quantum light fields: a new insight. I. General outlook
TL;DR: In this article, the polarization structure of light was described by using the polarization gauge SU(2) invariance of free electromagnetic fields and a related concept of the polarization (P) spin, and new classes of unpolarized light states generated by P-scalar biphotons were examined.
Journal ArticleDOI
New Lie-algebraic structures in nonlinear problems of quantum optics and laser physics
TL;DR: In this paper, a new Lie-algebraic structure (polynomial deformations of Lie algebras) is revealed in some problems of quantum optics and laser physics.
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Biphoton light with hidden polarization and its polarization tomography
TL;DR: In this paper, the Stokes operator formalism and the quasi-probability function were used to study the hidden polarization properties of biphoton light, emitted by an optical parametric oscillator, both theoretically and experimentally.
Journal ArticleDOI
Measurement of qutrits
TL;DR: In this paper, the qutrit is defined as the set of pure states of qutris, defined by the properties of SU(2) transformations, that are done by the polarization transformers.
References
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Book
Quantum Field Theory
TL;DR: In this article, a modern pedagogic introduction to the ideas and techniques of quantum field theory is presented, with a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian methods.
Journal ArticleDOI
Coherence in Spontaneous Radiation Processes
TL;DR: In this article, the authors considered a radiating gas as a single quantum-mechanical system, and the energy levels corresponding to certain correlations between individual molecules were described, where spontaneous emission of radiation in a transition between two such levels leads to the emission of coherent radiation.
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Generalized Coherent States and Their Applications
TL;DR: In this paper, the authors define the notion of generalized coherent states and define a generalization of the Coherent State Representation T?(g) of the Heisenberg-Weyl Group.
Book
Theory of group representations and applications
A. O. Barut,Ryszard Raczka +1 more
TL;DR: The material collected in this book originated from lectures given by authors over many years in Warsaw, Trieste, Schladming, Istanbul, Goteborg and Boulder as discussed by the authors, and is highly recommended as a textbook for an advanced course in mathematical physics on Lie algebras, Lie groups and their representations.
Journal ArticleDOI
The quantum group SUq(2) and a q-analogue of the boson operators
TL;DR: In this article, a new realisation of the quantum group SUq(2) is constructed by means of a q-analogue to the Jordan-Schwinger mapping, determining thereby both the complete representation structure and qanalogues to the Wigner and Racah operators.