Topic
Coherent states in mathematical physics
About: Coherent states in mathematical physics is a research topic. Over the lifetime, 732 publications have been published within this topic receiving 32024 citations.
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01 Nov 2009
TL;DR: In this paper, a review of the early developments in quantum optical coherence is presented and some properties of the coherent states particularly their over completeness which led to the discovery of diagonal coherent state representation by Sudarshan are discussed.
Abstract: A review is presented of the early developments in quantum optical coherence. Some properties of the coherent states particularly their over completeness which led to the discovery of diagonal coherent state representation by Sudarshan will be discussed. We then consider some of the important applications of this diagonal coherent state representation.
3 citations
TL;DR: In this paper, the Wigner spectrum has been used to study continuous-mode single-photon Fock states in the time domain and frequency domain simultaneously, which has the potential to provide more information than the normal ordering where the Dirac delta function is always discarded.
Abstract: Single photons are very useful resources in quantum information science. In real applications it is often required that the photons have a well-defined spectral (or equivalently temporal) modal structure. For example, a rising exponential pulse is able to fully excite a two-level atom while a Gaussian pulse cannot. This motivates the study of continuous-mode single-photon Fock states. Such states are characterized by a spectral (or temporal) pulse shape. In this paper we investigate the statistical property of continuous-mode single-photon Fock states. Instead of the commonly used normal ordering (Wick order), the tool we proposed is the Wigner spectrum. The Wigner spectrum has two advantages: 1) it allows to study continuous-mode single-photon Fock states in the time domain and frequency domain simultaneously; 2) because it can deal with the Dirac delta function directly, it has the potential to provide more information than the normal ordering where the Dirac delta function is always discarded. We also show how various control methods in particular coherent feedback control can be used to manipulate the pulse shapes of continuous-mode single-photon Fock states.
3 citations
01 Jan 2005
3 citations
TL;DR: In this paper, a new kind of two-mode bosonic realization of SU(1,1) Lie algebra is constructed, on the basis of which the SU( 1,1)-generalized coherent states in the twomode Fock space are derived.
Abstract: We have constructed a new kind of two-mode bosonic realization of SU(1,1) Lie algebra, on the basis of which the SU(1,1) generalized coherent states in the two-mode Fock space are derived. These two-mode SU(1,1) coherent states, which are called uncorrelated two-mode SU(1,1) coherent states, include three special cases. For these states, we study the mean photon number distribution and their non-classical properties, which are photon anti-bunching, violations of Cauchy-Schwarz inequality and two-mode squeezing.
3 citations
04 Dec 2014
TL;DR: This work outlines how optimality can be achieved by using a small quantum computer, building on recent proposals for optimal qubit state discrimination with multiple copies.
Abstract: The ability to distinguish between coherent states optimally plays in important role in the efficient usage of quantum resources for classical communication and sensing applications. While it has been known since the early 1970’s how to optimally distinguish between two coherent states, generalizations to larger sets of coherent states have so far failed to reach optimality. In this work we outline how optimality can be achieved by using a small quantum computer, building on recent proposals for optimal qubit state discrimination with multiple copies.
3 citations