Matter-wave soliton interferometer based on a nonlinear splitter

Abstract

We elaborate a model of the interferometer which, unlike previously studied ones, uses a local (delta-functional) nonlinear repulsive potential, embedded into a harmonic-oscillator trapping potential, as the splitter for the incident soliton. An estimate demonstrates that this setting may be implemented by means of the localized Feshbach resonance controlled by a focused laser beam. The same system may be realized as a nonlinear waveguide in optics. Subsequent analysis produces an exact solution for scattering of a plane wave in the linear medium on the delta-functional nonlinear repulsive potential, and an approximate solution for splitting of the incident soliton when the ambient medium is nonlinear. The most essential result, obtained by means of systematic simulations, is that the use of the nonlinear splitter provides the sensitivity of the soliton-based interferometer to the target, inserted into one of its arms, which is much higher than the sensitivity provided by the usual linear splitter.

New Journal of Physics, to be published (Focus issue on "Strongly interacting quantum gases in one dimension")

References in corpus (14)

• Tuning the scattering length with an optically induced Feshbach resonance
• Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
• Collisions of matter-wave solitons
• Controlling a magnetic Feshbach resonance with laser light
• Effective mean-field equations for cigar-shaped and disk-shaped Bose-Einstein condensates
• Sagnac Interferometry Using Bright Matter-Wave Solitons
• Bright matter-wave soliton collisions at narrow barriers
• Realizing bright matter-wave soliton collisions with controlled relative phase
• Matter-wave vortices in cigar-shaped and toroidal waveguides
• Scattering bright solitons: quantum versus mean-field behavior
• Symmetry breaking in laser cavities
• Perfect wave-packet splitting and reconstruction in a one-dimensional lattice
• Nonlocal quantum superpositions of bright matter-wave solitons and dimers
• Stable circulation modes in a dual-core matter-wave soliton laser

Cited by in corpus (24)

• Multidimensional solitons: Well-established results and novel findings
• Motion of solitons in one-dimensional spin-orbit-coupled Bose-Einstein condensates
• Creation and Characterization of Matter-Wave Breathers
• Quantum Noise in Bright Soliton Matterwave Interferometry
• Splitting of nonlinear-Schrödinger breathers by linear and nonlinear localized potentials
• Tunneling Dynamics Between Atomic Bright Solitons
• Interaction of One-Dimensional Quantum Droplets with Potential Wells and Barriers
• Two-dimensional symbiotic solitons and vortices in binary condensates with attractive cross-species interaction
• Soliton interferometry with very narrow barriers obtained from spatially dependent dressed states
• Dynamics of nonlinear-Schroedinger breathers in a potential trap
• Collective modes of a soliton train in a Fermi superfluid
• Asymmetric Nonlinear System is Not sufficient for Non-Reciprocal Quantum Wave Diode
• Holding and transferring matter-wave solitons against gravity by spin-orbit-coupling tweezers
• Splitting of two-component solitary waves from collisions with narrow potential barriers
• Unidirectional flow of composite bright-bright solitons through asymmetric double potential barriers and wells
• Non-spreading matter-wave packets in a ring
• Collision of two self-trapped atomic matter wave packets in an optical ring cavity
• Solitons supported by singular modulation of the cubic nonlinearity
• Green's Function Formulation of Multiple Nonlinear Dirac $\delta$-Function Potential in One Dimension
• Ring modes supported by concentrated cubic nonlinearity
• Loading ultracold atoms onto nonlinear Bloch states and soliton states in bichromatic lattices
• Splitting and recombination of bright-solitary-matter waves
• Quantum-droplet interferometry
• Localized-Interaction-Induced Quantum Reflection and Filtering of Bosonic Matter in a One-Dimensional Lattice Guide