[PDF] Top 20 Transverse laser modes in Bose-Einstein condensates

... We model local absorption as a straightforward reduc- tion in amplitude; in particular we neglect any interac- tion between the ’absorbed’ and left-over parts of the BEC. This is an idealisation of a situation which, we ... See full document

... of Bose-Einstein condensates, solitons have a strong theoretical history with the exact solution to the Gross-Pitaevskii equation having been linked to that of the Korteweg-de Vries equation ...of ... See full document

... Hawking effect using the full Bogoliubov theory [202]. Importantly, the hydrody- namic approximation “predicts its own demise”: As an outgoing phononic mode is traced back through time towards the horizon, its wavenumber ... See full document

... the laser also allowed experiments which went beyond the regime of the classical electromagnetic field - experiments which dealt d i­ rectly with the quantum state of the light ...field. ... See full document

... atomic modes and radiation fields can be produced with these setups, as very recently reviewed in ...elongated Bose-Einstein condensate, coupled to a quantized ring cavity mode, and driven by a pump ... See full document

... uncondensed modes, that is, the non-condensed fraction of the BEC. Such modes are not governed by the GP equation and due to their fully quantum nature are permitted to have negative ...these modes ... See full document

... Our ‘open’ experimental geometry is well-suited to condensate investigation, in particular for imaging the atoms. The high degree of optical access will also facilitate the application of dipole force laser beams ... See full document

... of Bose-Einstein condensation in a dilute atomic gas [6, 7, 8], the experimental techniques aiming at creating and manipulating these sys- tems have undergone remarkable ...using laser light it is ... See full document

... Bose-Einstein condensates are coherent matter waves, produced by cooling gaseous atomic clouds to ultra-low ...measurements, Bose-condensed sources present an intriguing alternative to thermal ... See full document

... In this limit the coherent time evolution associated with a potential of the form of Eq. (9) maps the Bloch en- ergy bands n onto the free space momentum intervals [−(n + 1)¯ hk, −n¯ hk] and [n¯ hk, (n + 1)¯ hk]. This ... See full document

... self-bound Bose – Einstein matter waves under the action of an attractive nonlocal and a repulsive local interaction is analyzed by means of a time-dependent variational ...breather modes are ... See full document

... the laser system. We use three diode lasers: a master laser for the optical pumping, absorption imaging, and injection lock beams, a slave laser for the MOT beams, and a laser for the ... See full document

... When crossing a Stokes line, the exponentially sup- pressed solution may gain an additional component that is proportional to the coefficient of the exponentially en- hanced solution. If we wish to construct a Bogoliubov ... See full document

... using lasers to alter the state-dependent tunneling amplitudes of atoms in an optical lattice to simulate an effective mag- netic flux 关18–20兴. Another, considered here, exploits the in- teraction of ⌳ -type three-level ... See full document

... and Bose-Einstein condensed ultra cold gases [32] and continues to be a fascinating subject for ...noise modes appears to be the crucial point in numer- ical ...the modes of the elementary ... See full document

... The second part of the thesis is devoted to the description of the experiments I performed. The apparatus will be described focusing on the laser and the vacuum system. I will then describe the proce- dure to ... See full document

... of modes the angular variable could be eliminated, because the initial choices of angular dependence were com- plex exponentials, and thus eigenstates of the ...The modes needed were the mode in which the ... See full document

... the study of transport phenomena are not easily feasible in trapped gases. On the other hand, interference patterns, associated with phase coherence, have been already observed (Andrews, Townsend et.al.) 1 and ... See full document

... the wave function are time independent. In the experimental device, the rotation is obtained thanks to a laser beam imposed on the magnetic trap holding the atoms to create a harmonic anisotropic rotating ... See full document

... We also note that, even though the interaction Hamil- tonian for our phonon system (10) is cubic in field modes, Gaussianity of the state will be preserved under the Born- Markov approximation. This is evident ... See full document