scholarly journals Matter waves, single-mode excitations of the matter-wave field, and the atomtronic transistor oscillator

2021 ◽  
Vol 104 (3) ◽  
Author(s):  
Dana Z. Anderson
Keyword(s):  
Wave Field ◽  
Single Mode ◽  
Matter Wave ◽  
Matter Waves ◽  
Transistor Oscillator

Integrability and Multi-Soliton Solutions for a Variable-Coefficient Coupled Gross–Pitaevskii System for Atomic MatterWaves

2012 ◽  
Vol 67 (10-11) ◽  
pp. 525-533
Author(s):  
Zhi-Qiang Lin ◽  
Bo Tian ◽  
Ming Wang ◽  
Xing Lu
Keyword(s):  
Variable Coefficient ◽  
Soliton Solutions ◽  
Variable Coefficients ◽  
Einstein Condensate ◽  
Matter Wave ◽  
Bilinear Method ◽  
Matter Waves ◽  
Bose Einstein Condensate ◽  
Bose Einstein ◽  
Hirota Bilinear

Under investigation in this paper is a variable-coefficient coupled Gross-Pitaevskii (GP) system, which is associated with the studies on atomic matter waves. Through the Painlev´e analysis, we obtain the constraint on the variable coefficients, under which the system is integrable. The bilinear form and multi-soliton solutions are derived with the Hirota bilinear method and symbolic computation. We found that: (i) in the elastic collisions, an external potential can change the propagation of the soliton, and thus the density of the matter wave in the two-species Bose-Einstein condensate (BEC); (ii) in the shape-changing collision, the solitons can exchange energy among different species, leading to the change of soliton amplitudes.We also present the collisions among three solitons of atomic matter waves.

scholarly journals DYNAMICS OF BISOLITONIC MATTER WAVES IN A BOSE–EINSTEIN CONDENSATE SUBJECTED TO AN ATOMIC BEAM SPLITTER AND GRAVITY

2010 ◽  
Vol 24 (30) ◽  
pp. 2911-2920 ◽  
Author(s):  
ALAIN MOÏSE DIKANDÉ ◽  
ISAIAH NDIFON NGEK ◽  
JOSEPH EBOBENOW
Keyword(s):  
Einstein Condensate ◽  
Matter Wave ◽  
Pitaevskii Equation ◽  
Transform Method ◽  
Perturbative Approach ◽  
Matter Waves ◽  
Bose Einstein Condensate ◽  
Scattering Transform ◽  
Experimental Implementation ◽  
Bose Einstein

A theoretical scheme for an experimental implementation involving bisolitonic matter waves from an attractive Bose–Einstein condensate, is considered within the framework of a non-perturbative approach to the associate Gross–Pitaevskii equation. The model consists of a single condensate subjected to an expulsive harmonic potential creating a double-condensate structure, and a gravitational potential that induces atomic exchanges between the two overlapping post condensates. Using a non-isospectral scattering transform method, exact expressions for the bright-matter–wave bisolitons are found in terms of double-lump envelopes with the co-propagating pulses displaying more or less pronounced differences in their widths and tails depending on the mass of atoms composing the condensate.

2D MATTER WAVES GUIDED IN VAN DER WAALS POTENTIALS OF DIELECTRIC SURFACES

2009 ◽  
Vol 24 (08n09) ◽  
pp. 1764-1776
Author(s):  
WELITON M. SOARES ◽  
THIERRY PASSERAT DE SILANS ◽  
MARCOS ORIÁ ◽  
MARTINE CHEVROLLIER
Keyword(s):  
Degrees Of Freedom ◽  
Dipolar Interaction ◽  
Solid Surfaces ◽  
Matter Wave ◽  
Neutral Atoms ◽  
Periodic Surface ◽  
Matter Waves ◽  
Dielectric Surfaces ◽  
Low Dimensionality ◽  
The One

The dipolar interaction between neutral atoms and non-resonant surfaces results in attractive potentials.We describe here techniques to probe these interactions, particulary focussing in mechanisms to selectively prepare adsorption quantum states. The control of the external degrees of freedom of atoms very close to a surface allows one, in the one hand, to get values for the parameters of the potentials between neutral atoms and solid surfaces and, on the other hand, to develop schemes to explore matter behavior at low dimensionality. As an application for the 2D confined atomic matter-wave we consider Bloch oscillation for atoms in a periodic surface potential.

scholarly journals Otto Stern’s Legacy in Quantum Optics: Matter Waves and Deflectometry

2021 ◽  
pp. 547-573
Author(s):  
Stefan Gerlich ◽  
Yaakov Y. Fein ◽  
Armin Shayeghi ◽  
Valentin Köhler ◽  
Marcel Mayor ◽  
...  
Keyword(s):  
Quantum Optics ◽  
Electron Spin ◽  
Matter Wave ◽  
Molecular Cluster ◽  
Force Measurements ◽  
Optical Fields ◽  
Beam Physics ◽  
Matter Waves ◽  
Wave Research ◽  
Internal Properties

AbstractOtto Stern became famous for molecular beam physics, matter-wave research and the discovery of the electron spin, with his work guiding several generations of physicists and chemists. Here we discuss how his legacy has inspired the realization of universal interferometers, which prepare matter waves from atomic, molecular, cluster or eventually nanoparticle beams. Such universal interferometers have proven to be sensitive tools for quantum-assisted force measurements, building on Stern’s pioneering work on electric and magnetic deflectometry. The controlled shift and dephasing of interference fringes by external electric, magnetic or optical fields have been used to determine internal properties of a vast class of particles in a unified experimental framework.

scholarly journals Optomechanical resonator-enhanced atom interferometry

2020 ◽  
Vol 3 (1) ◽  
Author(s):  
Logan L. Richardson ◽  
Ashwin Rajagopalan ◽  
Henning Albers ◽  
Christian Meiners ◽  
Dipankar Nath ◽  
...  
Keyword(s):  
Cold Atoms ◽  
Dynamic Range ◽  
Atom Interferometry ◽  
Matter Wave ◽  
Noisy Environment ◽  
Large Dynamic Range ◽  
Matter Waves ◽  
Large Potential

AbstractMatter-wave interferometry and spectroscopy of optomechanical resonators offer complementary advantages. Interferometry with cold atoms is employed for accurate and long-term stable measurements, yet it is challenged by its dynamic range and cyclic acquisition. Spectroscopy of optomechanical resonators features continuous signals with large dynamic range, however it is generally subject to drifts. In this work, we combine the advantages of both devices. Measuring the motion of a mirror and matter waves interferometrically with respect to a joint reference allows us to operate an atomic gravimeter in a seismically noisy environment otherwise inhibiting readout of its phase. Our method is applicable to a variety of quantum sensors and shows large potential for improvements of both elements by quantum engineering.

scholarly journals THEORY OF NONLINEAR MATTER WAVES IN OPTICAL LATTICES

2004 ◽  
Vol 18 (14) ◽  
pp. 627-651 ◽  
Author(s):  
V. A. BRAZHNYI ◽  
V. V. KONOTOP
Keyword(s):  
Optical Lattices ◽  
Evolution Equations ◽  
Modulational Instability ◽  
Spatial Scales ◽  
Tight Binding ◽  
Matter Wave ◽  
Pitaevskii Equation ◽  
Tight Binding Approximation ◽  
Matter Waves ◽  
Bose Einstein

We consider several effects of the matter wave dynamics which can be observed in Bose–Einstein condensates embedded into optical lattices. For low-density condensates, we derive approximate evolution equations, the form of which depends on relation among the main spatial scales of the system. Reduction of the Gross–Pitaevskii equation to a lattice model (the tight-binding approximation) is also presented. Within the framework of the obtained models, we consider modulational instability of the condensate, solitary and periodic matter waves, paying special attention to different limits of the solutions, i.e. to smooth movable gap solitons and to strongly localized discrete modes. We also discuss how the Feshbach resonance, a linear force and lattice defects affect the nonlinear matter waves.

scholarly journals Collapse and revival of the matter wave field of a Bose–Einstein condensate

Nature ◽  
2002 ◽  
Vol 419 (6902) ◽  
pp. 51-54 ◽  
Author(s):  
Markus Greiner ◽  
Olaf Mandel ◽  
Theodor W. Hänsch ◽  
Immanuel Bloch
Keyword(s):  
Wave Field ◽  
Einstein Condensate ◽  
Matter Wave ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Doppler Shifted “In” and “Out” Longitudinal Matter Waves as the Carriers of Particle Relativistic Momentum and Energy

2020 ◽  
Vol 12 (3) ◽  
pp. 11
Author(s):  
Dan Wagner
Keyword(s):  
Kinetic Energy ◽  
Quantum Particle ◽  
Large Body ◽  
Matter Wave ◽  
Matter Waves ◽  
Component Wave ◽  
Pass Through ◽  
Energy Equations ◽  
Local Gradient ◽  
Relativistic Momentum

Momentum and Kinetic Energy equations are developed from the hypothesis that oppositely directed components of harmonically oscillating pseudo standing waves pass through a quantum particle center and can be represented by Longitudinal Matter Waves that carry the particle’s momentum and energy. The Doppler effect on the component wave lengths allows the net forward momentum and kinetic energy to increase with speed well beyond classical values. De Broglie (1925) issues with stationary wavelength and moving pulse rate are resolved in a different manner. Because a quantum particle is considered to be nothing more than the sum of “in” and “out” matter waves focused through its center, whatever happens to these matter waves determines the future location of that center. This opens the door to physical explanations for gravity, interference, and the slowdown of light in transparent mediums. Gravity, for example, is shown in section 6, to possibly be caused by the local gradient in matter wave speed near a large body like earth.

A theoretical investigation of banded chorus

1974 ◽  
Vol 11 (2) ◽  
pp. 189-212 ◽  
Author(s):  
David Nunn
Keyword(s):  
Wave Field ◽  
Power Distribution ◽  
Computational Study ◽  
Broad Band ◽  
Single Mode ◽  
Vital Role ◽  
Electrostatic Wave ◽  
Trapped Particles ◽  
Band Signal ◽  
Particle Current

This paper is a computational study of nonlinear resonant particle trajectories in wave fields consisting of an array of narrow-band waves of closely spaced frequencies and wavenumbers. It looks at two analogous systems, cyclotron resonance with a whistler wavefield and Landau resonance with an electrostatic wave field. It is found that the wave array is able to trap particles in much the same way as a single mode. Inhomogeneity plays a vital role by causing the energy of trapped particles to change.The nonlinear resonant particle current is such as to preserve the modal structure of the wave field, and it does not change the frequency of an individual mode. Power distribution amongst the modes is far from even. Most of the energy goes into the mode at one end of the array, depending on the direction of the inhomogeneity. Also, nonlinear resonant particle excitation of a broad band signal was found to cause spectral structuring to develop automatically.The theory was applied to one of Coroniti's FTRS analyses of banded chorus elements. The observed spectral behaviour closely accorded with the computational results. The numbers involved fitted the theory very well, and strongly suggested that nonlinear cyclotron resonant particle excitation is the mechanism for banded chorus.

scholarly journals Single-mode acceleration of matter waves in circular waveguides

2006 ◽  
Vol 74 (2) ◽  
Author(s):  
O. Dutta ◽  
M. Jääskeläinen ◽  
P. Meystre
Keyword(s):  
Single Mode ◽  
Matter Waves ◽  
Circular Waveguides
Sign in / Sign up

Export Citation Format

Share Document