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Entanglement in the ground state of a many-body quantum system may arise when the local terms in the system Hamiltonian fail to commute with the interaction terms in the Hamiltonian. We quantify this phenomenon, demonstrating an analogy…

Quantum Physics · Physics 2009-11-10 Christopher M. Dawson , Michael A. Nielsen

We study the ground state of a finite size ensemble of interacting qubits driven by a quantum field. We find a maximally entangled W-state in the ensemble part of the system for a certain coupling parameters region. The area of this region…

Quantum Physics · Physics 2016-08-08 R. A. Robles Robles , S. A. Chilingaryan , B. M. Rodríguez-Lara , Ray-Kuang Lee

The paradigm of the two-level atom is revisited and its perturbative analysis is discussed in view of the principle of duality in perturbation theory. The models we consider are a two-level atom and an ensemble of two-level atoms both…

Quantum Physics · Physics 2007-05-23 Marco Frasca

The dynamics of a system, consisting of a particle initially in a Gaussian state interacting with a field mode, under the action of repeated measurements performed on the particle, is examined. It is shown that regardless of its initial…

Quantum Physics · Physics 2010-10-26 Bruno Bellomo , Giuseppe Compagno , Hiromichi Nakazato , Kazuya Yuasa

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

We study a single two-level atom interacting with a reservoir of modes defined by a reservoir structure function with a frequency gap. Using the pseudomodes technique, we derive the main features of a trapping state formed in the weak…

Quantum Physics · Physics 2012-08-01 C. Lazarou , K. Luoma , S. Maniscalco , J. Piilo , B. M. Garraway

We consider a pair of three - level atoms interacting with a common vacuum and analyze the process of entanglement production due to spontaneous emission. We show that in the case of closely separated atoms, collective damping can generate…

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

In quantum field theory it is believed that the spontaneous decay of excited atomic or molecular level is due to the interaction with continuum of field modes. Besides, the atom makes a transition from upper level to lower one so that the…

Spectral Theory · Mathematics 2022-02-22 E. A. Ianovich

We study the interaction of a ground state with a class of trapping potentials. We track the precise asymptotic behavior of the solution if the interaction is weak, either because the ground state moves away from the potential or is very…

Analysis of PDEs · Mathematics 2014-04-28 Scipio Cuccagna , Masaya Maeda

In this paper, we investigate the entanglement dynamics and decoherence in the interacting system of a strongly driven two-level atom and a single mode vacuum field in the presence of dissipation for the cavity field. Starting with an…

Quantum Physics · Physics 2016-04-07 S. J. Akhtarshenas , M. Khezrian

We present a nonlinear decoherence model which models decoherence effect caused by various decohereing sources in a quantum system through a nonlinear coupling between the system and its environment, and apply it to investigating…

Quantum Physics · Physics 2009-11-06 Le-Man Kuang , Hao-Sheng Zeng , Zhao-Yang Tong

We introduce a combination of coherent states as variational test functions for the atomic and radiation sectors to describe a system of Na three- level atoms interacting with a one-mode quantised electromagnetic field, with and without the…

Quantum Physics · Physics 2015-10-22 R. López-Peña , S. Cordero , E. Nahmad-Achar , O. Castaños

In the case of compact quantum graphs, many-particle models with singular two-particle interactions where introduced in [arXiv:1207.5648, arXiv:1112.4751] to provide a paradigm for further studies on many-particle quantum chaos. In this…

Mathematical Physics · Physics 2018-01-04 Joachim Kerner , Tobias Mühlenbruch

We study the simple Hamiltonian, $H=-K(S_{1z}^2 +S_{2z}^2)+ \lambda\vec S_1\cdot\vec S_2$, of two, large, coupled spins which are taken equal, each of total spin $s$ with $\lambda$ the exchange coupling constant. The exact ground state of…

Strongly Correlated Electrons · Physics 2014-01-15 Solomon A. Owerre , M. B. Paranjape

We observe coherent population trapping (CPT) in a two-electron atom---$^{174}$Yb---using the $\rm {^1S_0,F=0} \rightarrow {^3P_1,F'=1}$ transition. CPT is not possible for such a transition according to one-electron theory because the…

Optics · Physics 2015-04-02 Alok K. Singh , Vasant Natarajan

Population trapping occurs when a particular quantum-state superposition is immune to action by a specific interaction, such as the well-known dark state in a three-state lambda system. We here show that in a three-state loop linkage, a…

Quantum Physics · Physics 2008-05-28 A. A. Rangelov , N. V. Vitanov , B. W. Shore

The dissipative and decoherence properties of the two-level atom interacting with the squeezed vacuum field reservoir are investigated based on the nonautonomous master equation of the atomic density matrix in the framework of algebraic…

Quantum Physics · Physics 2009-11-11 Jun-Hong An , Shun-Jin Wang , Hong-Gang Luo , Cheng-Long Jia

Coherent generation of indistinguishable single photons is crucial for many quantum communication and processing protocols. Solid-state realizations of two-level atomic transitions or three-level spin-$\Lambda$ systems offer significant…

Mesoscale and Nanoscale Physics · Physics 2019-12-03 Zhe-Xian Koong , Dale Scerri , Markus Rambach , Ted S. Santana , Suk-In Park , Jin D. Song , Erik M. Gauger , Brian D. Gerardot

We determine the $N$-particle stationary states of a staggered stochastic hopping model with reflective boundaries. It is shown that the stationary states are in fact so-called optimum ground states. Recursion relations in the particle…

Statistical Mechanics · Physics 2007-05-23 Kai Klauck , Andreas Schadschneider , Johannes Zittartz

We study the states of one and two atoms in a rotating ring lattice in a Hubbard type tight-binding model. The model is developed carefully from basic principles in order to properly identify the physical observables. The one-particle…

Quantum Physics · Physics 2015-06-04 Juha Javanainen , Otim Odong , Jerome C. Sanders