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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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TL;DR: In this paper, a computer program from the CUPS project is described which demonstrates the action of the annihilation operator on these states, constructs coherent states which behave like classical electromagnetic fields, and shows how such states can be squeezed.
Abstract: Students first meet the wave‐particle paradox through the photon and wave descriptions of light. Yet, in basic courses on quantum mechanics, they study matter particles only, because the mathematics of the quantized radiation field is usually considered too advanced. An oscillating electromagnetic field is formally similar to a harmonic oscillator, whose energy eigenstates can represent states of well‐defined photon number. Using a computer program from the CUPS project, an approach will be described which demonstrates the action of the annihilation operator on these states, constructs coherent states which behave like classical electromagnetic fields, and shows how such states can be squeezed. All of these have practical relevance in modern optics. This is just one example of the computer making a hitherto unapproachable subject accessible to ordinary undergraduates. Computers have already changed how much of quantum mechanics is taught. As more such possibilities are realized, the teaching of the whole ...

3 citations

Journal ArticleDOI
TL;DR: In this article, the authors constructed coherent states for anharmonic oscillators using generalized Heisenberg algabras and investigated the statistical properties of these states through the Mandel's parameter and Wehrl entropy.
Abstract: Coherent states for anharmonic oscillators (nonharmonic oscillators) are constructed using generalized Heisenberg algabras. Klauder’s minimal set of conditions required to obtain coherent states are satisfied. The statistical properties of these states are investigated through the Mandel’s parameter and Wehrl entropy. It is shown that these coherent states are useful for describing the states of real and ideal lasers in terms of different parameters.

3 citations

Journal ArticleDOI
TL;DR: In this paper, the superposition coherent states (SCS) were studied and their quantum statistical properties, the fluctuations of field and squeezing have been discussed in detail, and the squeezing regions in phase space for these states were described.
Abstract: Special kinds of generalized superposition states, superposition coherent states, are studied in this paper. These states can be produced by superposing a pair of coherent states |a〉 and |−a〉. Their quantum statistical properties, the fluctuations of field and squeezing have been discussed in detail. These properties are dependent on superposition phase. We also describe the squeezing regions in phase space for these states.

3 citations

Journal ArticleDOI
TL;DR: In this article, a method to measure the quantum state of a single mode of the electromagnetic field with a probe qubit is proposed, which is based on the interaction of the field with the qubit.
Abstract: We propose a method to measure the quantum state of a single mode of the electromagnetic field. The method is based on the interaction of the field with a probe qubit. The qubit polarizations along coordinate axes are functions of the interaction time and from their Fourier transform we can in general fully reconstruct pure states of the field and obtain partial information in the case of mixed states. The method is illustrated by several examples, including the superposition of Fock states, coherent states, and exotic states generated by the dynamical Casimir effect.

3 citations

Journal ArticleDOI
TL;DR: In this paper, the authors analyse a possible connection between different quantization schemes and the Bargman-Segal realisation of the Heisenberg algebra H. They show that only a one-parameter subfamily of the family of H(+)Algebras can be rewritten in BargmanSegal form.
Abstract: The authors analyse a possible connection between different quantisation schemes and the Bargman-Segal realisation of the Heisenberg algebra H. They show that only a one-parameter subfamily of the family of Heisenberg algebras HQ subduced from H(+)H can be rewritten in the Bargman-Segal form.

3 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20236
202214
20201
20182
201710
201612