A model of a dual-core matter-wave soliton laser

Chen, P.Y.P.; Malomed, Boris A.

doi:10.1088/0953-4075/38/23/005

Cited by 22 publications

(52 citation statements)

References 41 publications

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“…The model introduced in Ref. [5] also included an external potential and x-dependence of the nonlinearity coefficient in equation (1) for the cavity; however, the present analysis demonstrates that stable soliton-lasing regimes can be achieved without these ingredients. As said above, the model assumes that both edges of the reservoir, and the left edge of the cavity are impenetrable, the respective boundary conditions (b.c.)…”

Section: Introduction and The Modelmentioning

confidence: 77%

“…Especially interesting is a possibility to design a laser operating in a soliton regime, i.e., generating a sequence of narrow spatial packets of coherent atom waves, as proposed, in various settings, in Refs. [4,5].…”

Section: Introduction and The Modelmentioning

confidence: 99%

“…In a recent paper [5], we put forward a model of the soliton MW laser based on a set of two tunnel-coupled parallel quasi-one-dimensional (cigar-shaped) traps, one of which is a BEC-filled reservoir, and the other plays the role of a lasing cavity (the setup is shown in Fig. 1 of Ref.…”

Section: Introduction and The Modelmentioning

confidence: 99%

“…1 of Ref. [5]), with weakly repulsive and attractive interactions between atoms in the reservoir and cavity, respectively (the sign and size of the respective scattering lengths can be controlled by external magnetic field through the Feshbach-resonance effect [7]; note that static soliton states in dual-core traps, with opposite signs of the scattering lengths in them, were studied in Ref. [8]).…”

Section: Introduction and The Modelmentioning

confidence: 99%

“…The system, a general version of which was recently proposed in Ref. [5], 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.…”

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confidence: 99%

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Stable circulation modes in a dual-core matter-wave soliton laser

Chen¹,

Malomed²

2006

J. Phys. B: At. Mol. Opt. Phys.

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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 in Ref. [5], 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.

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Section: Introduction and The Modelmentioning

confidence: 77%

Section: Introduction and The Modelmentioning

confidence: 99%

Section: Introduction and The Modelmentioning

confidence: 99%

Section: Introduction and The Modelmentioning

confidence: 99%

mentioning

confidence: 99%

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Stable circulation modes in a dual-core matter-wave soliton laser

Chen¹,

Malomed²

2006

J. Phys. B: At. Mol. Opt. Phys.

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Multiscale geometric modeling of macromolecules II: Lagrangian representation

et al. 2013

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Geometric modeling of biomolecules plays an essential role in the conceptualization of biolmolecular structure, function, dynamics and transport. Qualitatively, geometric modeling offers a basis for molecular visualization, which is crucial for the understanding of molecular structure and interactions. Quantitatively, geometric modeling bridges the gap between molecular information, such as that from X-ray, NMR and cryo-EM, and theoretical/mathematical models, such as molecular dynamics, the Poisson-Boltzmann equation and the Nernst-Planck equation. In this work, we present a family of variational multiscale geometric models for macromolecular systems. Our models are able to combine multiresolution geometric modeling with multiscale electrostatic modeling in a unified variational framework. We discuss a suite of techniques for molecular surface generation, molecular surface meshing, molecular volumetric meshing, and the estimation of Hadwiger’s functionals. Emphasis is given to the multiresolution representations of biomolecules and the associated multiscale electrostatic analyses as well as multiresolution curvature characterizations. The resulting fine resolution representations of a biomolecular system enable the detailed analysis of solvent-solute interaction, and ion channel dynamics, while our coarse resolution representations highlight the compatibility of protein-ligand bindings and possibility of protein-protein interactions.

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Bright Solitary Matter Waves: Formation, Stability and Interactions

Billam

Marchant

Cornish

et al. 2012

Progress in Optical Science and Photonics

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In recent years, bright soliton-like structures composed of gaseous Bose-Einstein condensates have been generated at ultracold temperature. The experimental capacity to precisely engineer the nonlinearity and potential landscape experienced by these solitary waves offers an attractive platform for fundamental study of solitonic structures. The presence of three spatial dimensions and trapping implies that these are strictly distinct objects to the true soliton solutions. Working within the zero-temperature mean-field description, we explore the solutions and stability of bright solitary waves, as well as their interactions. Emphasis is placed on elucidating their similarities and differences to the true bright soliton. The rich behaviour introduced in the bright solitary waves includes the collapse instability and symmetry-breaking collisions. We review the experimental formation and observation of bright solitary matter waves to date, and compare to theoretical predictions. Finally we discuss the current state-of-the-art of this area, including beyond-mean-field descriptions, exotic bright solitary waves, and proposals to exploit bright solitary waves in interferometry and as surface probes. * nick.parker@ncl.ac.uk arXiv:1209.0560v1 [cond-mat.quant-gas] 4 Sep 2012• A sophisticated toolbox based on atomic physics allows almost arbitrary shapes of confining potentials to be constructed, for example, waveguides to steer the wavepackets, systems of reduced dimensionality, and disordered and periodic potential landscapes.• This toolbox also enables the interactions (i.e. the nonlinearity) to be changed effectively from infinitely attractive, through zero, to infinitely repulsive via the exploitation of Feshbach resonances. Moreover, one can employ atoms such as 52 Cr which feature permanent magnetic dipole moments; this introduces long-range atom-atom interactions, i.e. nonlocal nonlinearity, into the system [13].• The condensate density can be imaged directly with high contrast. While this is most commonly performed via destructive techniques based on optical absorption, non-destructive imaging techniques are also possible, e.g. phase-contrast imaging [3]. The phase of the condensate can also be mapped out in space and time via interferometric techniques [14].• Bright solitary waves, which typically exist as small BECs, are mesoscopic quantum systems. This scale allows interfacing of the robust and well-established mean-field description of BECs with more sophisticated models that incorporate thermal and quantum effects [4].• The precision and control offered by BECs makes them an attractive system in general for application in ultra-precise force detection and quantum information. For these applications, bright solitary waves offer further merits through their self-trapped, highly-localized form. The mean-field Gross-Pitaevskii equationOur theoretical analysis will be based upon the well-established Gross-Pitaevskii equation, which is a wave equation for the classical field of the many-body wavefunction [3][4][5]. ...

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A model of a dual-core matter-wave soliton laser

Cited by 22 publications

References 41 publications

Stable circulation modes in a dual-core matter-wave soliton laser

Stable circulation modes in a dual-core matter-wave soliton laser

Multiscale geometric modeling of macromolecules II: Lagrangian representation

Bright Solitary Matter Waves: Formation, Stability and Interactions

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