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We consider various approaches to treat the phases of a qutrit. Although it is possible to represent qutrits in a convenient geometrical manner by resorting to a generalization of the Poincare sphere, we argue that the appropriate way of…

Quantum Physics · Physics 2009-11-10 A. B. Klimov , L. L. Sanchez-Soto , H. de Guise , G. Bjork

We use coherent states as trial states for a variational approach to study a system of a finite number of three-level atoms interacting in a dipolar approximation with a one-mode electromagnetic field. The atoms are treated as…

Quantum Physics · Physics 2018-06-20 L. F. Quezada , E. Nahmad-Achar

We explore the role played by the quantum relative phase in a well-known model of atom-field interaction, namely, the Dicke model. We introduce an appropriate polar decomposition of the atom-field relative amplitudes that leads to a truly…

Quantum Physics · Physics 2009-11-07 J. Delgado , E. C. Yustas , L. L. Sanchez-Soto , A. B. Klimov

A Hermitian quantum phase operator is formulated that mirrors the classical phase variable with proper time dependence and satisfies trigonometric identities. The eigenstates of the phase operator are solved in terms of Gegenbauer…

Quantum Physics · Physics 2016-04-26 Xin Ma , William Rhodes

Phase operators and phase states are introduced for irreducible representations of the Lie algebra su(3) using a polar decomposition of ladder operators. In contradistinction with su(2), it is found that the su(3) polar decomposition does…

Mathematical Physics · Physics 2012-06-22 H. de Guise , A. Vourdas , L. L. Sanchez-Soto

The dynamics of the interaction between an atom of three levels interacting with a quantized field of two modes in a cavity is studied within the rotating wave approximation, by taking into account experimental values of the accessible…

Quantum Physics · Physics 2025-02-25 A. del Rio-Lima , F. J. Poveda-Cuevas , O. Castaños

The dynamics of an atomic few-level system can depend on the phase of driving fields coupled to the atom if certain conditions are satisfied. This is of particular interest to control interference effects, which can alter the system…

Quantum Physics · Physics 2009-11-11 Joerg Evers

Spontaneously generated coherence and enhanced dispersion in a V-type, three-level atomic system interacting with a single mode field can considerably reduce the radiative and cavity decay rates. This may eliminate the use of high finesse,…

Optics · Physics 2017-04-05 Amitabh Joshi , Juan D. Serna

We study the structure of the phase diagram for systems consisting of 2- and 3- level particles dipolarly interacting with a 1-mode electromagnetic field, inside a cavity, paying particular attention to the case of a finite number of…

Quantum Physics · Physics 2015-02-04 Eduardo Nahmad-Achar , Sergio Cordero , Octavio Castaños , Ramón López-Peña

The quantum phase diagram for a finite $3$-level system in the $\Lambda$ configuration, interacting with a two-mode electromagnetic field in a cavity, is determined by means of information measures such as fidelity, fidelity susceptibility…

Quantum Physics · Physics 2023-02-21 O. Castaños , S. Cordero , R. López-Peña , E. Nahmad-Achar

The phase dependence of the cavity quantum dynamics in a driven equidistant three-level ladder-type system found in a quantum well structure with perpendicular transition dipoles is investigated in the good cavity limit. The pumping laser…

Quantum Physics · Physics 2017-04-19 Victor Ceban

Berry's geometric phase naturally appears when a quantum system is driven by an external field whose parameters are slowly and cyclically changed. A variation in the coupling between the system and the external field can also give rise to a…

In the paper, analysis of a quantum optical system--three-level atom in a quantum electromagnetic field is given. Evolution operators are constructed in closed form.

Quantum Physics · Physics 2007-05-23 G. Giorgadze , Z. Melikishvili

We investigate nonclassical properties of a state generated by the interaction of a three-level atom with a quantized cavity field and an external classical driving field. In this study, the fields being degenerate in frequency, are highly…

Quantum Physics · Physics 2024-04-26 Naveen Kumar , Arpita Chatterjee

The interaction of 3-level system with a quantum field in a non-equilibrium state is considered. We describe a class of states of the quantum field for wich a stationary state drives the system to inverse populated state. We find that the…

Quantum Physics · Physics 2007-05-23 L. Accardi , K. Imafuku , S. V. Kozyrev

We consider a pair of three-level atoms interacting with the vacuum. The process of disentanglement due to spontaneous emission and the role of quantum interference between principal transitions in this process, are analysed. We show that…

Quantum Physics · Physics 2009-11-13 L. Derkacz , L. Jakobczyk

We have studied a three-level {\Lambda}-type atomic system with all the energy levels exhibiting decay. The system is described by a pseudo-Hermitian Hamiltonian and subject to certain conditions, the Hamiltonian shows parity-time (PT)…

Quantum Physics · Physics 2014-08-29 Amarendra K. Sarma , Balla Prannay

We establish, within the second quantization method, the general dipole-dipole Hamiltonian interaction of a system of $n$-level atoms. The variational energy surface of the $n$-level atoms interacting with $\ell$-mode fields and under the…

Quantum Physics · Physics 2022-04-06 Sergio Cordero , Octavio Castaños , Ramón López-Peña , Eduardo Nahmad-Achar

Geometric Phase in Quantum Mechanics is generally formulated entirely in terms of geometric structure of the Complex Hilbert Space. We will exploit this fact in case of mixed states for three level open systems undergoing depolarization…

Quantum Physics · Physics 2025-11-12 Abhirup Chatterjee , Sobhan Kumar Sounda

Relative phase is treated as a physical quantity for two mode systems in quantum atom optics, adapting the Pegg-Barnett treatment of quantum optical phase to define a linear Hermitian relative phase operator via first introducing a complete…

Quantum Gases · Physics 2011-08-24 B J Dalton
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