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 constrained on an atom chip. It is determined by the coherent manipulation of atoms trapped in a magnetic double-well strength, for which the writer built a unique form of beam splitter. Particle-wave duality permits the development of interferometers for subject waves, which counterpoint optical interferometers in precision size units, either for technological functions and basic exams. This calls for the improvement of atom-optics analogues to beam splitters, part shifters and recombiners.

Particle interactions within the Bose–Einstein condensate result in a nonlinearity, absent in photon optics. this is often exploited to generate a non-classical nation with decreased atom-number fluctuations contained in the interferometer. This nation is then used to check the interaction-induced dephasing of the quantum superposition. The ensuing coherence occasions are chanced on to be an element of 3 longer than anticipated for coherent states, highlighting the opportunity of entanglement as a source for quantum-enhanced metrology.

Show description

Read or Download Interferometry with Interacting Bose-Einstein Condensates in a Double-Well Potential PDF

Similar atomic & nuclear physics books

Theoretical Atomic Physics

This verified textual content and reference comprises a complicated presentation of quantum mechanics tailored to the necessities of recent atomic physics. It contains issues of significant present curiosity comparable to semiclassical thought, chaos and Bose-Einstein condensation in atomic gases. The 3rd variation of Theoretical Atomic Physics extends the profitable moment variation with an in depth therapy of the wave movement of atoms close to the anticlassical or severe quantum regime, and it additionally comprises an advent to a few features of atom optics that are correct for present and destiny experiments concerning ultra-cold atoms.

An Introduction to the Passage of Energetic Particles through Matter

Selecting the place to entry info, extracting a wanted subset from to be had assets, and realizing how you can interpret the layout within which facts are offered will be time-consuming initiatives for scientists and engineers. through gathering all of this knowledge and delivering a historical past in physics, An advent to the Passage of full of life debris via topic allows experts and nonspecialists alike to appreciate and practice the knowledge.

Biophotonics: Spectroscopy, Imaging, Sensing, and Manipulation

This quantity describes a magnificent array of the present photonic-related applied sciences getting used within the research of organic structures. the themes contain a number of forms of microscopy (fluorescence correlation microscopy, two-photon microscopy), delicate detection of organic molecules, nano-surgery strategies, fluorescence resonance power move, nano-plasmonics, terahertz spectroscopy, and photosynthetic strength conversion.

Essays 1958-1962 on Atomic Physics and Human Knowledge

Used hardcover publication, no pen/pencil or excessive liner marks. no longer Library publication! No DJ, disguise exhibit shelf and garage put on. textual content is in Like New situation with out folds or put on, a few colour fading to edges outdoor of textual content region.

Extra resources for Interferometry with Interacting Bose-Einstein Condensates in a Double-Well Potential

Example text

N −→ n=−N /2 N /2 . . φ p −→ p=−N /2 ∞ −∞ dn . . |n , N +1 2π ∞ −∞ dφ . . φ p . 97). Similarly, the quadrature operators are defined by 1 iφ e + e−iφ , 2 1 iφ sin φ = e − e−iφ . 2 Bose-Einstein Condensate in a Double Well: Two-Mode Theory … 29 ˆ n], the commutation relation [φ, ˆ let us introduce the phenomenological uncertainty relation between relative phase and half-number difference9 1 nˆ φˆ ≥ . 106) In Sect. 4, we will show that a N-particle two-mode system can be described by an effective spin verifying angular momentum commutation relations.

106). 106) implies that the number difference and the relative phase of the BJJ cannot be measured simultaneously with arbitrary accuracy. 104). In the Fock basis, the matrix elements of the tunneling operator read (see Eq. 108) while that of the cosine operator read m| cos φ |n = We see that for n, m 9 Note 1 δm,n+1 + δm,n−1 . 109) N/2, one can identify both operators: that in the following, unless stated, its standard deviation. F 2 represents the variance of the quantity F, and F 30 1 Introduction and Theoretical Background m| a L† a R + a †R a L |n ≈ N m| cos φ |n .

2 Bose-Einstein Condensate in a Double Well: Two-Mode Theory … 29 ˆ n], the commutation relation [φ, ˆ let us introduce the phenomenological uncertainty relation between relative phase and half-number difference9 1 nˆ φˆ ≥ . 106) In Sect. 4, we will show that a N-particle two-mode system can be described by an effective spin verifying angular momentum commutation relations. 106) when the number and phase spread are small enough. In Sect. 5, we will present a mean-field model valid in the “continous limit” N → ∞ and show that the halfnumber difference and the phase are canonical conjugate variables linked by n = −i ∂ .

Download PDF sample

Rated 4.93 of 5 – based on 15 votes