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We find conditions required to achieve complete population transfer, via coherent population trapping, from an initial state to a designated final state at a designated time in a degenerate $n$-state atom, where transitions are caused by an…

Quantum Physics · Physics 2007-05-23 Kh. Yu. Rakhimov , Kh. Kh. Shakov , J. H. McGuire

Controlled manipulation of quantum states is central to studying natural and artificial quantum systems. If a quantum system consists of interacting sub-units, the nature of the coupling may lead to quantum levels with degenerate energy…

Superconductivity · Physics 2012-01-26 P. C. de Groot , J. Lisenfeld , R. N. Schouten , S. Ashhab , A. Lupascu , C. J. P. M. Harmans , J. E. Mooij

Complete controllability of finite dimensional quantum systems with energy level degeneracy is investigated using two different approaches. One approach is to apply a weak constant field to eliminate the degeneracy and then control it using…

Quantum Physics · Physics 2015-05-14 Zhedong Zhang , H. C. Fu

A simple theoretical solution to the design of a control field that generates complete population transfer from an initial state, via $N$ nondegenerate intermediate states, to one arbitrary member of $M$ ($M\leq N$) degenerate states is…

Quantum Physics · Physics 2009-11-10 Jiangbin Gong , Stuart A. Rice

We find a set of conditions to achieve complete population transfer, via coherent population trapping, from an initial state to a designated final state at a designated time in a degenerate n-state atom, where the transitions are caused by…

Quantum Physics · Physics 2007-05-23 J. H. McGuire , Kh. Kh. Shakov , Kh. Yu. Rakhimov

We consider an exact population transition, defined as the probability of finding a state at a final time being exactly equal to the probability of another state at the initial time. We prove that, given a Hamiltonian, there always exists a…

Quantum Physics · Physics 2013-05-29 Lian-Ao Wu , Dvira Segal , Inigo L. Egusquiza , Paul Brumer

A five-level four-pulse phase-sensitive extended stimulated Raman adiabatic passage scheme is proposed to realize complete control of the population transfer branching ratio between two degenerate target states. The control is achieved via…

Quantum Physics · Physics 2009-11-10 Jiangbin Gong , Stuart A. Rice

We exploit a novel approximation scheme to obtain a new and compact formula for the parameters underlying coherent-state control of the evolution of a pair of entangled two-level systems. It is appropriate for long times and for relatively…

Quantum Physics · Physics 2010-08-24 Muhammed Yonac , Joseph H. Eberly

We find conditions required to achieve complete population transfer, via coherent population trapping, from an initial state to a designated final state at a designated time in a degenerate 3-level atom, where transitions are caused by an…

Quantum Physics · Physics 2009-11-10 Kh. Yu. Rakhimov , J. H. McGuire , Kh. Kh. Shakov

The quantum levels population behavior of the two coupled flux qubits depending on the external driving field characteristics is studied. The explicit expressions for the multiphoton transition probabilities at an arbitrary control field…

Quantum Physics · Physics 2021-08-04 V. O. Munyaev , M. V. Bastrakova

The evolution of two qubits coupled by a general nonlocal interaction is studied in two distinct regimes. In the first regime the purity of the individual qubits is interchanged through the entanglement shared by the two. We illustrate how…

Quantum Physics · Physics 2007-05-23 Cesar A. Rodriguez , Anil Shaji , E. C. G. Sudarshan

Conventional approaches for controlling open quantum systems use coherent control which affects the system's evolution through the Hamiltonian part of the dynamics. Such control, although being extremely efficient for a large variety of…

Quantum Physics · Physics 2009-05-04 Alexander Pechen , Herschel Rabitz

Ising interaction between qubits could produce distortion in entangled pairs generated for engineering purposes (as in quantum computation) in presence of parasite magnetic fields, destroying or altering the expected behavior of process in…

Quantum Physics · Physics 2013-05-29 Francisco Delgado

We investigate optimal control strategies for state to state transitions in a model of a quantum dot molecule containing two active strongly interacting electrons. The Schrodinger equation is solved nonperturbatively in conjunction with…

Quantum Physics · Physics 2016-08-14 R. Nepstad , L. Sælen , I. Degani , J. P. Hansen

Quantum entanglement is the basic resource for most quantum information schemes. A fundamental problem of using photonic states as carriers of quantum information is that they interact weakly with matter and that the interaction volume is…

The detrimental effect of spontaneous emission on the performance of control schemes designed to achieve population inversion between the ground state and a highly excited atomic state are studied using computer simulations.

Quantum Physics · Physics 2007-05-23 S. G. Schirmer , Andrew D. Greentree , A. I. Solomon

There has long been interest to control the transfer of population between specified quantum states. Recent work has optimized the control law for closed system population transfer by using a gradient ascent pulse engineer- ing algorithm…

Quantum Physics · Physics 2010-04-28 Wei Cui , Zairong Xi , Yu Pan

The quantum dynamics of a two-state system (qubit) can be governed by means of external control parameters present in time-dependent bias pulses of special forms. We consider the class of biases for which the time evolution equation without…

In this paper we consider the null controllability for a population model depending on time, on space and on age. Moreover, the diffusion coefficient degenerate at the boundary of the space domain. The novelty of this paper is that for the…

Analysis of PDEs · Mathematics 2021-03-29 B. Allal , G. Fragnelli , J. Salhi

We analyze the optically driven dynamics of a qubit implemented on a singlet-triplet subspace of two-electron states in a self-assembled quantum dot molecule. We study two possible control schemes based on the coupling to an excited…

Mesoscale and Nanoscale Physics · Physics 2023-05-05 Karol Kawa , Tilmann Kuhn , Paweł Machnikowski
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