scholarly journals ROBERTSON–SCHRÖDINGER INTELLIGENT STATES FOR TWO-BODY CALOGERO MODEL

2002 ◽  
Vol 17 (27) ◽  
pp. 1805-1812 ◽  
Author(s):  
M. DAOUD
Keyword(s):  
Quantum System ◽  
Coherent States ◽  
Calogero Model

Using the Gazeau–Klauder and Klauder–Perelomov coherent states, we derive the Robertson–Schrödinger intelligent states for two-body Calogero quantum system.

scholarly journals Quantum Filtering Equations for a System Driven by Nonclassical Fields

2018 ◽  
Vol 25 (02) ◽  
pp. 1850007 ◽  
Author(s):  
Anita Da̧browska
Keyword(s):  
Quantum System ◽  
Coherent States ◽  
Single Photon ◽  
Photon Counting ◽  
Stochastic Evolution ◽  
Input Output ◽  
Nonclassical States ◽  
Cascade System ◽  
Unitary Evolution ◽  
Photon States

Using Gardiner and Collet’s input-output model and the concept of cascade system, we determine the filtering equation for a quantum system driven by light in some specific nonclassical states. The quantum system and electromagnetic field are described by making use of quantum stochastic unitary evolution. We consider two examples of the nonclassical states of field: a combination of vacuum and single photon states and a mixture of two coherent states. The stochastic evolution conditioned on the results of the photon counting and quadrature measurements is described.

scholarly journals COHERENT AND GENERALIZED INTELLIGENT STATES FOR INFINITE SQUARE WELL POTENTIAL AND NONLINEAR OSCILLATORS

2002 ◽  
Vol 16 (26) ◽  
pp. 3915-3937 ◽  
Author(s):  
A. H. EL KINANI ◽  
M. DAOUD
Keyword(s):  
Quantum System ◽  
Coherent States ◽  
Nonlinear Oscillators ◽  
Analytical Representation ◽  
Square Well ◽  
Arbitrary Quantum

This article is an illustration of the construction of coherent and generalized intelligent states which has been recently proposed by us for an arbitrary quantum system.1 We treat the quantum system submitted to the infinite square well potential and the nonlinear oscillators. By means of the analytical representation of the coherent states à la Gazeau–Klauder and those à la Klauder–Perelomov, we derive the generalized intelligent states in analytical ways.

scholarly journals Robustness of the quantum BKL scenario

2020 ◽  
Vol 80 (2) ◽  
Author(s):  
Andrzej Góźdź ◽  
Włodzimierz Piechocki
Keyword(s):  
Quantum System ◽  
Coherent States ◽  
Recent Article ◽  
Affine Group ◽  
Unitary Evolution

Abstract The quantum Belinski–Khalatnikov–Lifshitz scenario presents an unitary evolution of the system. However, the affine coherent states quantization applied to the quantization of the underlying classical scenario depends on the choice of the group parametrization. Using the two simplest parameterizations of the affine group, we show that qualitative features of our quantum system do not depend on the choice. It means that the quantum bounce replacing a singular classical scenario is expected to be a generic feature of the considered system. This paper complements our recent article (Góźdź et al. in Eur Phys J C 79:45, 2019).

Sudden change in the behavior of quantum discord for bipartite Gisin states

2018 ◽  
Vol 15 (03) ◽  
pp. 1850038 ◽  
Author(s):  
Fatima-Zahra Siyouri ◽  
Mustapha Ziane ◽  
Morad El Baz ◽  
Yassine Hassouni
Keyword(s):  
Quantum System ◽  
Quantum Correlation ◽  
Coherent States ◽  
Quantum Discord ◽  
Sudden Change ◽  
Classical Correlation ◽  
Mixing Parameter

In this paper, we investigate the behavior of quantum correlation for Gisin states based on the bipartite superposed coherent states (SCS). Moreover, we analyze the basis for minimizing the quantum discord (or equivalently basis maximizing the classical correlation) as function of the mixing parameter and the coherent amplitude. We found that for our quantum system, the quantum discord behavior is not smooth and could experience a sudden change (S.C).

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