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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 article, a new kind of q-deformed charged coherent states is constructed in Fock space of two-mode q-boson system with suq(2) covariance and a resolution of unity for these states is derived.
Abstract: A new kind of q-deformed charged coherent states is constructed in Fock space of two-mode q-boson system with suq(2) covariance and a resolution of unity for these states is derived. We also present a simple way to obtain these coherent states using state projection method.
2 citations
TL;DR: In this paper, the authors considered the Husimi Q(q, p)-functions which are quantum quasiprobability distributions on the phase space and investigated the properties of the stretched Fock states.
Abstract: We consider the Husimi Q(q, p)-functions which are quantum quasiprobability distributions on the phase space. It is known that, under a scaling transform (q; p) → (⋋q; ⋋p), the Husimi function of any physical state is converted into a function which is also the Husimi function of some physical state. More precisely, it has been proved that, if Q(q, p) is the Husimi function, the function ⋋2
Q(⋋q; ⋋p) is also the Husimi function. We call a state with the Husimi function ⋋2
Q(⋋q; ⋋p) the stretched state and investigate the properties of the stretched Fock states. These states can be obtained as a result of applying the scaling transform to the Fock states of the harmonic oscillator. The harmonic-oscillator Fock states are pure states, but the stretched Fock states are mixed states. We find the density matrices of stretched Fock states in an explicit form. Their structure can be described with the help of negative binomial distributions. We present the graphs of distributions of negative binomial coefficients for different stretched Fock states and show the von Neumann entropy of the simplest stretched Fock state.
1 citations
TL;DR: In this paper, a general P-distribution, which corresponds to a Gaussian distribution as a special case, is found to be conserved, with respect to time, for that general class of Hamiltonians which leave...
Abstract: A certain general P-distribution, which corresponds to a Gaussian distribution as a special case, is found to be conserved, with respect to time, for that general class of Hamiltonians which leave ...
1 citations
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TL;DR: In this article, a unified approach for finding coherent states of polynomially deformed algebras such as the quadratic and Higgs, which are relevant for various multiphoton processes in quantum optics is presented.
Abstract: We present a general unified approach for finding the coherent states of polynomially deformed algebras such as the quadratic and Higgs algebras, which are relevant for various multiphoton processes in quantum optics. We give a general procedure to map these deformed algebras to appropriate Lie algebras. This is used, for the non compact cases, to obtain the annihilation operator coherent states, by finding the canonical conjugates of these operators.
Generalized coherent states, in the Perelomov sense also follow from this construction. This allows us to explicitly construct coherent states associated with various quantum optical systems.
1 citations
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TL;DR: In this article, the Fock space representations for the quantum affine algebra of type $C_2^{(1)}$ were constructed in terms of Young walls. And they gave a generalized Lascoux-Leclerc-Thibon algorithm for computing the global bases of the basic representations.
Abstract: We construct the Fock space representations for the quantum affine algebra of type $C_2^{(1)}$ in terms of Young walls. Using this construction, we give a generalized Lascoux-Leclerc-Thibon algorithm for computing the global bases of the basic representations.
1 citations