Download Interferometry with Interacting Bose-Einstein Condensates in by Tarik Berrada PDF
By Tarik Berrada
This thesis demonstrates a whole Mach–Zehnder interferometer with interacting Bose–Einstein condensates limited on an atom chip. It depends on the coherent manipulation of atoms trapped in a magnetic double-well capability, for which the writer built a singular kind of beam splitter. Particle-wave duality allows the development of interferometers for topic waves, which enhance optical interferometers in precision dimension units, either for technological purposes and basic checks. This calls for the improvement of atom-optics analogues to beam splitters, part shifters and recombiners.
Particle interactions within the Bose–Einstein condensate bring about a nonlinearity, absent in photon optics. this can be exploited to generate a non-classical nation with lowered atom-number fluctuations contained in the interferometer. This country is then used to check the interaction-induced dephasing of the quantum superposition. The ensuing coherence instances are stumbled on to be an element of 3 longer than anticipated for coherent states, highlighting the possibility of entanglement as a source for quantum-enhanced metrology.
Read or Download Interferometry with Interacting Bose-Einstein Condensates in a Double-Well Potential PDF
Best atomic & nuclear physics books
Stretch, Twist, Fold: The Fast Dynamo (Lecture Notes in Physics Monographs)
The research of planetary or sun magnetic fields explains typical magnetism as a phenomenon of magnetohydrodynamics. The kinematic dynamo conception, specially the short dynamo taken care of during this quantity, is a bit of less complicated yet nonetheless it provides bold analytical difficulties relating to chaotic dynamics, for instance.
Introduction to the Theory of Collisions of Electrons with Atoms and Molecules
An realizing of the collisions among micro debris is of significant value for the variety of fields belonging to physics, chemistry, astrophysics, biophysics and so forth. the current booklet, a thought for electron-atom and molecule collisions is built utilizing non-relativistic quantum mechanics in a scientific and lucid demeanour.
This validated textual content comprises a sophisticated presentation of quantum mechanics tailored to the necessities of recent atomic physics. The 3rd variation extends the profitable moment variation with a close remedy of the wave movement of atoms, and it additionally includes an advent to a couple elements of atom optics that are appropriate for present and destiny experiments concerning ultra-cold atoms.
This long-standing introductory textual content completely describes nuclear many-body conception, with an emphasis on technique and the technical elements of the theories which were used to explain the nucleus. Now on hand in a more cost-effective softcover variation, the unique contents of "The Nuclear Many-Body challenge” awarded here's meant for college kids with simple wisdom of quantum mechanics and a few realizing of nuclear phenomena.
- In Vivo EPR (ESR): Theory and Application
- Stellar explosions : hydrodynamics and nucleosynthesis
- The quantum quark
- Atomic and Ion Collisions in Solids and at Surfaces: Theory, Simulation and Applications
- Atomic, Molecular, & Optical Physics Handbook
- Ion Beam Modification of Solids: Ion-Solid Interaction and Radiation Damage
Extra info for Interferometry with Interacting Bose-Einstein Condensates in a Double-Well Potential
Example text
8). These states are often said to be fragmented, meaning that they cannot be written as a product of single-particle states. 129) In the intermediate regime, both contributions are comparable and the energy spectrum exhibits both a linear and a quadratic part (see Fig. 7). 130) and the energy spectrum is quadratic while at low energy, it is linear. 113) can be linearized and reads ωJ harm = Hˆ BH 2 nˆ 2 φˆ 2 + 2 2 2σn 2σφ . 131) with: √ ω J = 2J 1 + , √ 1+ 2 , σφ = N N σn2 = √ , 4 1+ = U N /2J.
130) and the energy spectrum is quadratic while at low energy, it is linear. 113) can be linearized and reads ωJ harm = Hˆ BH 2 nˆ 2 φˆ 2 + 2 2 2σn 2σφ . 131) with: √ ω J = 2J 1 + , √ 1+ 2 , σφ = N N σn2 = √ , 4 1+ = U N /2J. 135) We identify the Hamiltonian of a 1D harmonic oscillator where the phase plays the role of the position, and the number difference corresponds to the momentum. The dimensionless parameter 1 N 2 in the Josephson regime represents the ratio between interaction energy and tunneling.
2 Bose-Einstein Condensate in a Double Well: Two-Mode Theory … 23 Fig. 6 Schematics and notations for the 2-mode BH model. The two sites are denoted left and right, and are associated to the corresponding bosonic operators a L ,R and a L† ,R . φ L ,R are the wavefunctions associated to the left and right mode (we assume that they do not depend on the occupation of the modes). J represents the strength of tunnel coupling, U L and U R are proportional to the interaction energies in each site. 30), it is clear that the terms in factor of U L and U R correspond to the interaction energies in each mode.