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How to mode-lock an atom laser

P. D. Drummond, Kerson Huang, Karen V. Kheruntsyan

Published Jan 1, 2024• 0 citations
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Abstract

In order to manufacture a modelocked, pulsed atom laser, we suggest the idea of making use of the atom-atom repulsion in a BEC to form a toroidal soliton which can then form a reproducible, coherent waveform. The relevant solitons have the form of a kink, or phase-singularity in the nonlinear Schrodinger equation. We suppose that the atoms are all trapped in a deep, toroidal magnetic trap with the central repulsive core potential induced by a blue-detuned laser. We investigate the case of an atom laser environment with a uniform gain provided by the super-saturation technique. We also assume that there is a periodic loss, provided by a synchronized Raman output coupling laser, and show that this combination of gain and periodic loss leads to stable circulating dark solitons.

DOI
10.25916/sut.26230145

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In order to manufacture a modelocked, pulsed atom laser, we suggest the idea of making use of the atom-atom repulsion in a BEC to form a toroidal soliton which can then form a reproducible, coherent waveform. The relevant solitons have the form of a kink, or phase-singularity in the nonlinear Schrodinger equation. We suppose that the atoms are all trapped in a deep, toroidal magnetic trap with the central repulsive core potential induced by a blue-detuned laser. We investigate the case of an atom laser environment with a uniform gain provided by the super-saturation technique. We also assume that there is a periodic loss, provided by a synchronized Raman output coupling laser, and show that this combination of gain and periodic loss leads to stable circulating dark solitons.
We consider a possible technique for mode locking an atom laser, based on the generation of a dark soliton in a ring-shaped Bose-Einstein condensate, with repulsive atomic interactions. The soliton is a kink, with angular momentum per particle equal to $\ensuremath{\Elzxh}/2.$ It emerges naturally when the condensate is stirred at the soliton velocity and cleansed with a periodic out coupler. The result is a replicating coherent field inside the atom laser, stabilized by topology. We give a numerical demonstration of the generation and stabilization of the soliton.
We consider a possible technique for mode-locking an atom laser, based on the generation of a dark soliton in a ring-shaped Bose-Einstein condensate, with repulsive atomic interactions. The soliton is a kink, with angular momentum per particle equal to \hbar/2. It emerges naturally, when the condensate is stirred at the soliton velocity, and subsequently outcoupled with a periodic Raman pulse-train. The result is a replicating coherent field inside the atom laser. We give a numerical demonstration of the generation and stabilization of the soliton.
We propose a system which can generate a periodic array of solitary-wave pulses from a finite reservoir of coherent Bose-Einstein condensate (BEC). The system is built as a set of two parallel quasi-one-dimensional traps (the reservoir proper and a pulse-generating cavity), which are linearly coupled by the tunneling of atoms. The scattering length is tuned to be negative and small in the absolute value in the cavity, and still smaller but positive in the reservoir. Additionally, a parabolic potential profile is created around the center of the cavity. Both edges of the reservoir and one edge of the cavity are impenetrable. Solitons are released through the other cavity's edge, which is semi-transparent. Two different regimes of the intrinsic operation of the laser are identified: circulations of a narrow wave-function pulse in the cavity, and oscillations of a broad standing pulse. The latter regime is stable, readily providing for the generation of an array containing up to 10,000 permanent-shape pulses. The circulation regime provides for no more than 40 cycles, and then it transforms into the oscillation mode. The dependence of the dynamical regime on parameters of the system is investigated in detail.
We consider a model of a matter-wave laser generating a periodic array of solitary-wave pulses. The system, a general version of which was recently proposed by us ( 2005 J. Phys. B: At. Mol. Opt. Phys. 38 4221 ), is composed of two parallel tunnel-coupled cigar-shaped traps (a reservoir and a lasing cavity), solitons being released through a valve at one edge of the cavity. We report a stable lasing mode accounted for by circulations of a narrow soliton in the cavity, which generates an array of strong pulses (with 10 3 –10 4 atoms in each, the array's duty cycle being ≃30%) when the soliton periodically hits the valve.
We demonstrate how a topological atom laser can be realized by output coupling a trapped vortex state with a Raman scattering process. We find a linearized analytic solution from which a generalized resonance condition for Raman output coupling is developed. Using numerical simulations of a two component Gross-Pitaevskii equation in two and three dimensions the output beam from a trapped central vortex state is analyzed for cases of pulsed and continuous coupling where the vortex core is either transverse or parallel to the direction of propagation. We show how the parameters of the Raman light fields control the spatial phase of the output beam.