Quantum Phase and Field Purification for Quantum System in Coherent States Based on Generalized Heisenberg Algebra

2016 ◽  
Vol 37 (4) ◽  
pp. 345-352 ◽  
Author(s):  
E. Edfawy ◽  
S. Abdel-Khalek
Keyword(s):  
Quantum System ◽  
Coherent States ◽  
Heisenberg Algebra ◽  
Quantum Phase

scholarly journals Collective decay induce quantum phase transition in a well-controlled hybrid quantum system

2021 ◽  
Vol 21 ◽  
pp. 103832
Author(s):  
Dong-Yan Lü ◽  
Guang-Hui Wang ◽  
Yuan Zhou ◽  
Li Xu ◽  
Yong-Jin Hu ◽  
...  
Keyword(s):  
Phase Transition ◽  
Quantum System ◽  
Quantum Phase Transition ◽  
Quantum Phase ◽  
Hybrid 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.

Photon added coherent states of the parity deformed oscillator

2019 ◽  
Vol 34 (14) ◽  
pp. 1950104 ◽  
Author(s):  
A. Dehghani ◽  
B. Mojaveri ◽  
S. Amiri Faseghandis
Keyword(s):  
Coherent States ◽  
Uncertainty Relation ◽  
Annihilation Operator ◽  
Single Mode ◽  
Heisenberg Algebra ◽  
Uncertainty Relations ◽  
Deformed Oscillator ◽  
Cat States ◽  
Poissonian Statistics ◽  
Creation Operators

Using the parity deformed Heisenberg algebra (RDHA), we first establish associated coherent states (RDCSs) for a pseudo-harmonic oscillator (PHO) system that are defined as eigenstates of a deformed annihilation operator. Such states can be expressed as superposition of an even and odd Wigner cat states.[Formula: see text] The RDCSs minimize a corresponding uncertainty relation, and resolve an identity condition through a positive definite measure which is explicitly derived. We introduce a class of single-mode excited coherent states (PARDCS) of the PHO through “m” times application of deformed creation operators to RDCS. For the states thus constructed, we analyze their statistical properties such as squeezing and sub-Poissonian statistics as well as their uncertainty relations.

scholarly journals COHERENT STATES IN GRAVITATIONAL QUANTUM MECHANICS

2013 ◽  
Vol 22 (02) ◽  
pp. 1350004 ◽  
Author(s):  
POURIA PEDRAM
Keyword(s):  
Quantum Gravity ◽  
Coherent States ◽  
Scale Effects ◽  
Black Hole Physics ◽  
Probability Distributions ◽  
Planck Scale ◽  
Experimental Tests ◽  
Heisenberg Algebra ◽  
Adjoint Representation ◽  
Weight Functions

We present the coherent states of the harmonic oscillator in the framework of the generalized (gravitational) uncertainty principle (GUP). This form of GUP is consistent with various theories of quantum gravity such as string theory, loop quantum gravity and black-hole physics and implies a minimal measurable length. Using a recently proposed formally self-adjoint representation, we find the GUP-corrected Hamiltonian as a generator of the generalized Heisenberg algebra. Then following Klauder's approach, we construct exact coherent states and obtain the corresponding normalization coefficients, weight functions and probability distributions. We find the entropy of the system and show that it decreases in the presence of the minimal length. These results could shed light on possible detectable Planck-scale effects within recent experimental tests.

COHERENT STATES AND SCHWINGER MODELS FOR PSEUDO GENERALIZATION OF THE HEISENBERG ALGEBRA

2009 ◽  
Vol 24 (25) ◽  
pp. 2039-2051 ◽  
Author(s):  
H. FAKHRI ◽  
B. MOJAVERI ◽  
A. DEHGHANI
Keyword(s):  
Harmonic Oscillator ◽  
Coherent States ◽  
Heisenberg Algebra ◽  
Creation And Annihilation Operators ◽  
Number Of Generators ◽  
Simple Harmonic Oscillator

We show that the non-Hermitian Hamiltonians of the simple harmonic oscillator with [Formula: see text] and [Formula: see text] symmetries involve a pseudo generalization of the Heisenberg algebra via two pairs of creation and annihilation operators which are [Formula: see text]-pseudo-Hermiticity and [Formula: see text]-anti-pseudo-Hermiticity of each other. The non-unitary Heisenberg algebra is represented by each of the pair of the operators in two different ways. Consequently, the coherent and the squeezed coherent states are calculated in two different approaches. Moreover, it is shown that the approach of Schwinger to construct the su(2), su(1, 1) and sp(4, ℝ) unitary algebras is promoted so that unitary algebras with more linearly dependent number of generators are made.

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 Distorted Heisenberg algebra and coherent states for isospectral oscillator Hamiltonians

1995 ◽  
Vol 28 (9) ◽  
pp. 2693-2708 ◽  
Author(s):  
C D J Fernandez ◽  
L M Nieto ◽  
O Rosas-Ortiz
Keyword(s):  
Coherent States ◽  
Heisenberg Algebra
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