Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 47 for “"double well"”.
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Bose-Einstein condensates in magnetic double well potentials
This thesis presents two realizations of magnetic double well potentials for Bose-Einstein condensates (BECs) on atom chips. One approach utilizes static magnetic traps, created by current carrying micro wires, manipulating the atoms close to the chip surface. As in all other atom chip experiments, …
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Bose-Einstein Condensates in a Single Double Well Potential
… Bose-Einstein condensate is split in a double well potential into two matter wave packets, which are coupled coherently to each other via quantum mechanical tunneling of atoms through the barrier. The state of the system can be described by two dynamical variables, the population …
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Bifurcations in nonlinear Schrödinger equations with double well potentials
… we consider nonlinear Schrödinger equations with double well potentials with attractive and repelling nonlinearities. We discuss bifurcations along bound states, especially ground states and the first excited states, and also deal with orbital stability of the ground states. In attractive case …
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Experiments with Bose-Einstein condensates in a double-well potential
… with Bose-Einstein condensates in an optical double-well trap. Coherent splitting of trapped condensates was performed by deforming an optical single-well potential into a double-well potential, and the relative phase of the two split condensates was shown to be reproducible. Microfabricated …
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Nonlinear dynamics of a matter-wave soliton in driven potentials
… confined by a one dimensional harmonic or double-well trapping potential, and subject to weak periodic driving. Such systems have potential applications in metrology, specifically in the use of atom interferometers for high precision inertial and gravitational field sensing. The localised …
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Nonlinear dynamics of a matter-wave soliton in driven potentials
… confined by a one dimensional harmonic or double-well trapping potential, and subject to weak periodic driving. Such systems have potential applications in metrology, specifically in the use of atom interferometers for high precision inertial and gravitational field sensing. The localised …
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Coupled mode reductions and rotating wave approximations in nonlinear equations
… Pitaevskii (NLS/GP) equation with a linear double-well potential and study justifications of the rotating wave approximations in lattice systems. First, we study the long-time dynamics near a symmetry breaking bifurcation point of the cubic-quintic NLS/GP with symmetric double-well …
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A tunable Bose-Einstein condensate for quantum interferometry
… starts with the preparation of a BEC in a double well potential. By the effect of strong interactions the atomic system can be driven into an entangled state. Once the entangled state is prepared, interactions can be †switched off†and the interferometric sequence performed. This …
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Monotonicity of the Period Function for Hamiltonian Systems with Potentials
… each sharing a common parameter-dependent double-well potential, and implement an all-to-all velocity coupling with a scalar coupling parameter. To adhere to the constraints of the open book spaces, we alter this double-well potential according to modifications we established. After …
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On the Stability of Solutions to a Phase Transition Model
… where <italic> F(u) </italic> is a so-called "double-well'' potential. We consider both classical and nonclassical examples for F. Furthermore, the main method we use in this discussion of stability is that of upper and lower solutions.
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Hardware implementation of the Advanced Encryption Standard
… compliant, is synthesized to the .18 micron CMOS double-well technology, runs at 133 MHz, and is approximately 706K for the 16x128 bit buffer implementation and 874K gates for the 32x128 bit buffer implementation. Data can be encrypted and decrypted at a throughput of 1Gbps. The work described in …
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Vibrational Energies of the Hydrogen Bonds of H₃O₂⁻ and H₅O₂⁺
We approximate the vibrational energies of the symmetric and asymmetric stretches of the hydrogen bonds of the molecules H_3O_2^- and H_5O_2^+ by applying an improvement to the standard time-independent Born-Oppenheimer approximation. These two molecules are symmetric around a central hydrogen …
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Ultracold Bosonic Gases: Superfluidity and Quantum Interferometry
… fundational character, since we investigate some well known problems, already raised in the context of superfluid helium, in order to gain a deeper understanding, by exploiting the cleannes of dilute BECs systems, as well as analyzing the new features emerging from the unique dilute BECs …
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Stochastic chaos and thermodynamic phase transitions : theory and Bayesian estimation algorithms
… consider the motion of a particle trapped in a double-well potential coupled to a noisy environment. By use of the classic Langevin and Fokker-Planck equations, we investigate Kramers' escape rate problem. We show that there is a deep analogy between kinetic rate theory and stochastic chaos, for …
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Two-state systems with non-Markovian thermal and squeezed quantum noise inputs
… context of (i) coherent quantum tunnelling in a double-well system subject to low temperature quantum noise, and (ii) the two-level atom subject to finite bandwidth squeezed noise. Our approach to these problems is based on the adjoint equation, which describes the evolution of a quantum …
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A free boundary problem inspired by a conjecture of De Giorgi
… + W(u), where W(u) = (1 - u2 )2/2 is a standard double-well potential. According to a famous conjecture of De Giorgi, global critical points of J that are bounded and monotone in one direction have levell sets that are hyperplanes, at least up to dimension 8. Recently, Del Pino, Kowalczyk and Wei …
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Observation of nonlinear tunneling of a Bose-Einstein condensate in a single Josephson junction
… constitutes the nonlinear generalization of the well known Josephson junction of weakly-coupled superconductors that are separated by a thin insulating barrier. In our experiment, the required overlap of two macroscopic wavefunctions is provided by loading a BEC into an optical double well …
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Hardware implementation of a low-power two-dimensional discrete cosine transform
… arithmetic. It features clock gating schemes as well as power-aware schemes that utilize input correlations to dynamically scale down power consumption. This is done by eliminating glitching in the ROM Accumulate (RAC) units to effectively stop unnecessary computation. The core is approximately …
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Non-equilibrium dynamics of adsorbed polymers and filaments
… The structured substrate is represented by double-well or periodic potentials. We consider both homogeneous and point driving forces. Point-like driving forces can be realized in single molecule manipulation by atomic force microscopy tips. Uniform driving forces can be generated by …
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Quantum Resonant Beats and Revivals in the Morse Oscillators and Rotors
… a simple sum of two Morse oscillators led to a double-Morse well whose geometric symmetry provided analytical eigenfunctions and eigenvalues for certain low-lying energy levels. The quantum tunneling between the double-Morse well significantly affected the resonant beats and revivals local to …
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