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BoseEinstein condensates in the presence of a magnetic trap and optical lattice: twomode approximation. (submitted
 Nonlinearity
, 2005
"... Abstract. In this work we study the solutions to a nonlinear Schrödinger equation with harmonic and periodic potentials, motivated from the recent interest in these models as meanfield descriptions of BoseEinstein condensates. We use a twomode Galerkin approximation to study the dynamics of the f ..."
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Abstract. In this work we study the solutions to a nonlinear Schrödinger equation with harmonic and periodic potentials, motivated from the recent interest in these models as meanfield descriptions of BoseEinstein condensates. We use a twomode Galerkin approximation to study the dynamics of the full model. The phase plane and stability analysis of the reduced model yield very good agreement with the findings of the full partial differential equation. A particularly interesting finding of the stability analysis is a spontaneous symmetry breaking through a branching bifurcation, resulting in the stabilization of asymmetric states and the destabilization of symmetric or antisymmetric ones. We also highlight the important differences between the cases of symmetric potentials and those of weakly asymmetric potentials.
Fano resonance in nanoscale structures
, 902
"... Contents Nowadays nanotechnology allows to scaledown various important devices (sensors, chips, fibres, etc), and, thus, opens up new horizon for their applications. Nevertheless, the efficiency most of them is still based on the fundamental physical phenomena, such as resonances. Thus, the underst ..."
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Cited by 1 (0 self)
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Contents Nowadays nanotechnology allows to scaledown various important devices (sensors, chips, fibres, etc), and, thus, opens up new horizon for their applications. Nevertheless, the efficiency most of them is still based on the fundamental physical phenomena, such as resonances. Thus, the understanding of the resonance phenomena will be beneficial. One of the wellknown examples is
Locality, Weak or Strong Anticipation and Quantum Computing. I. Nonlocality in Quantum Theory
"... Abstract The universal Turing machine is an anticipatory theory of computability by any digital or quantum machine. However the ChurchTuring hypothesis only gives weak anticipation. The construction of the quantum computer (unlike classical computing) requires theory with strong anticipation. Categ ..."
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Abstract The universal Turing machine is an anticipatory theory of computability by any digital or quantum machine. However the ChurchTuring hypothesis only gives weak anticipation. The construction of the quantum computer (unlike classical computing) requires theory with strong anticipation. Category theory provides the necessary coordinatefree mathematical language which is both constructive and nonlocal to subsume the various interpretations of quantum theory in one pullback/pushout Dolittle diagram. This diagram can be used to test and classify physical devices and proposed algorithms for weak or strong anticipation. Quantum Information Science is more than a merger of ChurchTuring and quantum theories. It has constructively to bridge the nonlocal chasm between the weak anticipation of mathematics and the strong anticipation of physics.
Nonlinear Physics Centre and Centre for Ultrahigh Bandwidth Devices for Optical Systems
, 2010
"... Modern nanotechnology allows one to scale down various important devices �sensors, chips, fibers, etc. � and thus opens up new horizons for their applications. The efficiency of most of them is based on fundamental physical phenomena, such as transport of wave excitations and resonances. Short propa ..."
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Modern nanotechnology allows one to scale down various important devices �sensors, chips, fibers, etc. � and thus opens up new horizons for their applications. The efficiency of most of them is based on fundamental physical phenomena, such as transport of wave excitations and resonances. Short propagation distances make phasecoherent processes of waves important. Often the scattering of waves involves propagation along different paths and, as a consequence, results in interference phenomena, where constructive interference corresponds to resonant enhancement and destructive interference to resonant suppression of the transmission. Recently, a variety of experimental and theoretical work has revealed such patterns in different physical settings. The purpose of this review is to relate resonant scattering to Fano resonances, known from atomic physics. One of the main features of the Fano resonance is its asymmetric line profile. The asymmetry originates from a close coexistence of resonant transmission and resonant reflection and can be reduced to the interaction of a discrete �localized � state with a continuum of propagation modes. The basic concepts of Fano resonances are introduced, their geometrical and/or dynamical origin are explained, and theoretical and experimental studies of light propagation in photonic devices, charge transport through quantum dots, plasmon scattering in Josephsonjunction networks, and matterwave scattering in ultracold atom
Does the NonLocality of Quantum Phenomena Guarantee the Emergence of Entropy?
"... Abstract: QuantumMechanical objects and phenomena have a different nature, and follow a different set of rules, from their classical counterparts. Two interesting aspects are the superposition of states and the nonlocality of objects and phenomena. A third aspect, that gives quantummechanical obj ..."
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Abstract: QuantumMechanical objects and phenomena have a different nature, and follow a different set of rules, from their classical counterparts. Two interesting aspects are the superposition of states and the nonlocality of objects and phenomena. A third aspect, that gives quantummechanical objects which have common roots a nonlocal connection, is quantum entanglement. This paper takes up the question of whether these three properties of quantum mechanical systems facilitate the action of entropy’s increase, in terms of creating a condition where energy is dispersing, or going from being localized to being more spread out over time. Quantum Mechanics gives each quantum entity the nature of a container or vehicle for both energy and information, some part of which is necessarily nonlocal. The author feels that quantummechanical systems take on aspects of computing engines, in this context. He discusses how the onset of chaos is possible with even the simplest calculational processes, how these processes also result in complexity building, and why both of these dynamics contribute to the character of entropy as observed in ordinary affairs, or with macroscopic systems.
Fano resonances in nanoscale sctructures
, 902
"... Contents Nowadays nanotechnology allows to scaledown various important devices (sensors, chips, fibres, etc), and, thus, opens up new horizon for their applications. Nevertheless, the efficiency most of them is still based on the fundamental physical phenomena, such as resonances. Thus, the underst ..."
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Contents Nowadays nanotechnology allows to scaledown various important devices (sensors, chips, fibres, etc), and, thus, opens up new horizon for their applications. Nevertheless, the efficiency most of them is still based on the fundamental physical phenomena, such as resonances. Thus, the understanding of the resonance phenomena will be beneficial. One of the wellknown examples is
Contents
, 902
"... Modern nanotechnology allows to scale down various important devices (sensors, chips, fibres, etc), and, thus, opens up new horizons for their applications. The efficiency of most of them is based on fundamental physical phenomena, such as transport of wave excitations and resonances. Short propagat ..."
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Modern nanotechnology allows to scale down various important devices (sensors, chips, fibres, etc), and, thus, opens up new horizons for their applications. The efficiency of most of them is based on fundamental physical phenomena, such as transport of wave excitations and resonances. Short propagation distances make phase coherent processes of waves important. Often the scattering
Docteur en Sciences de l'Université Paris Diderot
, 2013
"... présentée pour obtenir le diplôme de ..."
1 Fabrication of MagnetoOptical Atom Traps on a
, 804
"... Abstract — Ultracold atoms can be manipulated using microfabricated devices known as atom chips. These have significant potential for applications in sensing, metrology and quantum information processing. To date, the chips are loaded by transfer of atoms from an external, macroscopic magnetooptic ..."
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Abstract — Ultracold atoms can be manipulated using microfabricated devices known as atom chips. These have significant potential for applications in sensing, metrology and quantum information processing. To date, the chips are loaded by transfer of atoms from an external, macroscopic magnetooptical trap (MOT) into microscopic traps on the chip. This transfer involves a series of steps, which complicate the experimental procedure and lead to atom losses. In this paper we present a design for integrating a MOT into a silicon wafer by combining a concave pyramidal mirror with a square wire loop. We describe how an array of such traps has been fabricated and we present magnetic, thermal and optical properties of the chip.