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  • 1
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    Linear canonical transformations of coherent and squeezed states in the Wigner phase space. II - Quantitative analysis (1989)
    In:  Other Sources
    Details
    Publication Date: 2011-08-19
    Description: It is possible to calculate expectation values and transition probabilities from the Wigner phase-space distribution function. Based on the canonical transformation properties of the Wigner function, an algorithm is developed for calculating these quantities in quantum optics for coherent and squeezed states. It is shown that the expectation value of a dynamical variable can be written in terms of its vacuum expectation value of the canonically transformed variable. Parallel-axis theorems are established for the photon number and its variant. It is also shown that the transition probability between two squeezed states can be reduced to that of the transition from one squeezed state to vacuum.
    Keywords: OPTICS
    Type: Physical Review A - General Physics, 3rd Series (ISSN 0556-2791); 40; 902-912
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  • 2
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    Linear canonical transformations of coherent and squeezed states in the Wigner phase space (1988)
    In:  Other Sources
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    Publication Date: 2011-08-19
    Description: It is shown that classical linear canonical transformations are possible in the Wigner phase space. Coherent and squeezed states are shown to be linear canonical transforms of the ground-state harmonic oscillator. It is therefore possible to evaluate the Wigner functions for coherent and squeezed states from that for the harmonic oscillator. Since the group of linear canonical transformations has a subgroup whose algebraic property is the same as that of the (2+1)-dimensional Lorentz group, it may be possible to test certain properties of the Lorentz group using optical devices. A possible experiment to measure the Wigner rotation angle is discussed.
    Keywords: OPTICS
    Type: Physical Review A - General Physics, 3rd Series (ISSN 0556-2791); 37; 807-814
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  • 3
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    A new approach to the photon localization problem (1994)
    In:  CASI
    Details
    Publication Date: 2013-08-31
    Description: Since wavelets form a representation of the Poincare group, it is possible to construct a localized superposition of light waves with different frequencies in a Lorentz-covariant manner. This localized wavelet satisfies a Lorentz-invariant uncertainty relation, and also the Lorentz-invariant Parseval's relation. A quantitative analysis is given for the difference between photons and localized waves. It is then shown that this localized entity corresponds to a relativistic photon with a sharply defined momentum in the non-localization limit. Waves are not particles. It is confirmed that the wave-particle duality is subject to the uncertainty principle.
    Keywords: OPTICS
    Type: Third International Workshop on Squeezed States and Uncertainty Relations; p 77-82
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  • 4
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    Wavelets and spacetime squeeze (1993)
    In:  CASI
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    Publication Date: 2013-08-31
    Description: It is shown that the wavelet is the natural language for the Lorentz covariant description of localized light waves. A model for covariant superposition is constructed for light waves with different frequencies. It is therefore possible to construct a wave function for light waves carrying a covariant probability interpretation. It is shown that the time-energy uncertainty relation (Delta(t))(Delta(w)) is approximately 1 for light waves is a Lorentz-invariant relation. The connection between photons and localized light waves is examined critically.
    Keywords: OPTICS
    Type: The Second International Workshop on Squeezed States and Uncertainty Relations; p 341-355
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  • 5
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    Thomas precession and squeezed states of light (1989)
    In:  Other Sources
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    Publication Date: 2011-08-19
    Description: The Lorentz group, which is the language of special relativity, is a useful theoretical toll in modern optics. Optics experiments can therefore serve as analog computers for special relativity. Possible optics experiments involving squeezed states are discussed in connection with the Thomas precession and the Wigner rotation.
    Keywords: OPTICS
    Type: Physical Review A - General Physics, 3rd Series (ISSN 0556-2791); 39; 1269-127
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  • 6
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    Third International Workshop on Squeezed States and Uncertainty Relations (1994)
    In:  CASI
    Details
    Publication Date: 2019-07-13
    Description: The purpose of these workshops is to bring together an international selection of scientists to discuss the latest developments in Squeezed States in various branches of physics, and in the understanding of the foundations of quantum mechanics. At the third workshop, special attention was given to the influence that quantum optics is having on our understanding of quantum measurement theory. The fourth meeting in this series will be held in the People's Republic of China.
    Keywords: OPTICS
    Type: NASA-CP-3270 , REPT-94B00074 , NAS 1.55:3270 , Aug 10, 1993 - Aug 13, 1993; Catonsville, MD; United States
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  • 7
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    Workshop on Squeezed States and Uncertainty Relations (1992)
    In:  CASI
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    Publication Date: 2019-07-13
    Description: The proceedings from the workshop are presented, and the focus was on the application of squeezed states. There are many who say that the potential for industrial applications is enormous, as the history of the conventional laser suggests. All those who worked so hard to produce squeezed states of light are continuing their efforts to construct more efficient squeezed-state lasers. Quite naturally, they are looking for new experiments using these lasers. The physical basis of squeezed states is the uncertainty relation in Fock space, which is also the basis for the creation and annihilation of particles in quantum field theory. Indeed, squeezed states provide a unique opportunity for field theoreticians to develop a measurement theory for quantum field theory.
    Keywords: OPTICS
    Type: NASA-CP-3135 , REPT-92B00024 , NAS 1.15:3135 , Mar 28, 1991 - Mar 30, 1991; College Park, MD; United States
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  • 8
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    Workshop on Harmonic Oscillators (1993)
    In:  CASI
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    Publication Date: 2019-07-13
    Description: Proceedings of a workshop on Harmonic Oscillators held at the College Park Campus of the University of Maryland on March 25 - 28, 1992 are presented. The harmonic oscillator formalism is playing an important role in many branches of physics. This is the simplest mathematical device which can connect the basic principle of physics with what is observed in the real world. The harmonic oscillator is the bridge between pure and applied physics.
    Keywords: OPTICS
    Type: NASA-CP-3197 , NAS 1.55:3197 , REPT-93B00036 , Mar 25, 1992 - Mar 28, 1992; College Park, MD; United States
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  • 9
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    The Second International Workshop on Squeezed States and Uncertainty Relations (1993)
    In:  CASI
    Details
    Publication Date: 2019-07-13
    Description: This conference publication contains the proceedings of the Second International Workshop on Squeezed States and Uncertainty Relations held in Moscow, Russia, on 25-29 May 1992. The purpose of this workshop was to study possible applications of squeezed states of light. The Workshop brought together many active researchers in squeezed states of light and those who may find the concept of squeezed states useful in their research, particularly in understanding the uncertainty relations. It was found at this workshop that the squeezed state has a much broader implication than the two-photon coherent states in quantum optics, since the squeeze transformation is one of the most fundamental transformations in physics.
    Keywords: OPTICS
    Type: NASA-CP-3219 , REPT-93B00088 , NAS 1.55:3219 , May 25, 1992 - May 29, 1992; Moscow; Russia
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