Quantized-Energy Equation for N-Level Atom in the Probability Representation of Quantum Mechanics

2020 ◽  
Vol 41 (6) ◽  
pp. 576-583
Author(s):  
Vladimir N. Chernega ◽  
Margarita A. Man’ko ◽  
Vladimir I. Man’ko
Keyword(s):  
Quantum Mechanics ◽  
Energy Equation ◽  
Probability Representation ◽  
N Level ◽  
Level Atom

scholarly journals A New Mechanism of Open System Evolution and Its Entropy Using Unitary Transformations in Noncomposite Qudit Systems

Entropy ◽  
2019 ◽  
Vol 21 (8) ◽  
pp. 736 ◽  
Author(s):  
Julio A. López-Saldívar ◽  
Octavio Castaños ◽  
Margarita A. Man’ko ◽  
Vladimir I. Man’ko
Keyword(s):  
Open System ◽  
Type System ◽  
Quantum Channels ◽  
Probability Representation ◽  
Experimental Realization ◽  
System Evolution ◽  
Phase Damping ◽  
Level Atom ◽  
Unitary Transformations ◽  
Unitary Transform

The evolution of an open system is usually associated with the interaction of the system with an environment. A new method to study the open-type system evolution of a qubit (two-level atom) state is established. This evolution is determined by a unitary transformation applied to the qutrit (three-level atom) state, which defines the qubit subsystems. This procedure can be used to obtain different qubit quantum channels employing unitary transformations into the qutrit system. In particular, we study the phase damping and spontaneous-emission quantum channels. In addition, we mention a proposal for quasiunitary transforms of qubits, in view of the unitary transform of the total qutrit system. The experimental realization is also addressed. The probability representation of the evolution and its information-entropic characteristics are considered.

scholarly journals Superposition Principle and Born’s Rule in the Probability Representation of Quantum States

2019 ◽  
Vol 1 (2) ◽  
pp. 130-150 ◽  
Author(s):  
Igor Ya. Doskoch ◽  
Margarita A. Man’ko
Keyword(s):  
Quantum Mechanics ◽  
Probability Distribution ◽  
Particle System ◽  
Superposition Principle ◽  
Quantum States ◽  
Particle State ◽  
Probability Representation ◽  
Tomographic Probability ◽  
Born’S Rule ◽  
System States

The basic notion of physical system states is different in classical statistical mechanics and in quantum mechanics. In classical mechanics, the particle system state is determined by its position and momentum; in the case of fluctuations, due to the motion in environment, it is determined by the probability density in the particle phase space. In quantum mechanics, the particle state is determined either by the wave function (state vector in the Hilbert space) or by the density operator. Recently, the tomographic-probability representation of quantum states was proposed, where the quantum system states were identified with fair probability distributions (tomograms). In view of the probability-distribution formalism of quantum mechanics, we formulate the superposition principle of wave functions as interference of qubit states expressed in terms of the nonlinear addition rule for the probabilities identified with the states. Additionally, we formulate the probability given by Born’s rule in terms of symplectic tomographic probability distribution determining the photon states.

scholarly journals Quantum scheme for N-level atom interacting with a two two-level atom: Atomic Fisher information and entropy squeezing

2020 ◽  
Vol 59 (3) ◽  
pp. 1259-1264 ◽  
Author(s):  
Eman M.A. Hilal ◽  
S. Alkhateeb ◽  
S. Abdel-Khalek ◽  
E.M. Khalil ◽  
Amjaad A. Almowalled
Keyword(s):  
Fisher Information ◽  
Entropy Squeezing ◽  
N Level ◽  
Level Atom

A generalized Jaynes-Cummings model for the N-level atom and (N − 1) modes

1989 ◽  
Vol 156 (2) ◽  
pp. 689-712 ◽  
Author(s):  
A.M. Abdel-Hafez ◽  
A.M.M. Abu-Sitta ◽  
A.-S.F. Obada
Keyword(s):  
N Level ◽  
Level Atom

Quantum Treatment of the Interaction Between an N-Level Atom and Two Noninteracting Two-Level Atoms

2014 ◽  
Vol 35 (2) ◽  
pp. 169-181 ◽  
Author(s):  
M. Sebawe Abdalla ◽  
M. M. A. Ahmed ◽  
E. M. Khalil ◽  
A. S.-F. Obada
Keyword(s):  
N Level ◽  
Level Atom ◽  
Quantum Treatment
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