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 GENERALIZED INTELLIGENT STATES FOR NONLINEAR OSCILLATORS

2001 ◽  
Vol 15 (18) ◽  
pp. 2465-2483 ◽  
Author(s):  
A. H. EL KINANI ◽  
M. DAOUD
Keyword(s):  
Coherent States ◽  
Uncertainty Relation ◽  
Anharmonic Oscillator ◽  
Nonlinear Oscillators ◽  
Analytical Representation

The construction of Generalized Intelligent States (GIS) for the x4-anharmonic oscillator is presented. These GIS families are required to minimize the Robertson–Schrödinger uncertainty relation. As a particular case, we will get the so-called Gazeau–Klauder coherent states. The properties of the latters are discussed in detail. Analytical representation is also considered and its advantage is shown in obtaining the GIS in an analytical way. Further extensions are finally proposed.

scholarly journals High-Efficiency Arbitrary Quantum Operation on a High-Dimensional Quantum System

2021 ◽  
Vol 127 (9) ◽  
Author(s):  
W. Cai ◽  
J. Han ◽  
L. Hu ◽  
Y. Ma ◽  
X. Mu ◽  
...  
Keyword(s):  
Quantum System ◽  
High Efficiency ◽  
High Dimensional ◽  
Quantum Operation ◽  
Arbitrary Quantum

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 Probing Rényi entanglement entropy via randomized measurements

Science ◽  
2019 ◽  
Vol 364 (6437) ◽  
pp. 260-263 ◽  
Author(s):  
Tiff Brydges ◽  
Andreas Elben ◽  
Petar Jurcevic ◽  
Benoît Vermersch ◽  
Christine Maier ◽  
...  
Keyword(s):  
Quantum System ◽  
Entanglement Entropy ◽  
Quantum Systems ◽  
Quantum States ◽  
Many Body ◽  
Trapped Ion ◽  
Statistical Correlations ◽  
Quantum Simulator ◽  
Entanglement Structure ◽  
Arbitrary Quantum

Entanglement is a key feature of many-body quantum systems. Measuring the entropy of different partitions of a quantum system provides a way to probe its entanglement structure. Here, we present and experimentally demonstrate a protocol for measuring the second-order Rényi entropy based on statistical correlations between randomized measurements. Our experiments, carried out with a trapped-ion quantum simulator with partition sizes of up to 10 qubits, prove the overall coherent character of the system dynamics and reveal the growth of entanglement between its parts, in both the absence and presence of disorder. Our protocol represents a universal tool for probing and characterizing engineered quantum systems in the laboratory, which is applicable to arbitrary quantum states of up to several tens of qubits.

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.

GAUSSIAN DOMINATION IN A QUANTUM SYSTEM OF NONLINEAR OSCILLATORS

1999 ◽  
Vol 13 (12n13) ◽  
pp. 411-415 ◽  
Author(s):  
M. CORGINI ◽  
D. P. SANKOVICH
Keyword(s):  
Quantum System ◽  
Lower Bounds ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Nonlinear Oscillators ◽  
Functional Integral ◽  
Upper And Lower Bounds ◽  
Number Of Particles

A quantum system of nonlinear oscillators is considered. Within the framework of Berezin's functional integral we prove the gaussian domination at finite temperature for some values of the chemical potential. Upper and lower bounds for the average number of particles with momentum p are derived.

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