Matter-wave diffraction in time with a linear potential

Abstract

Diffraction in time of matter waves incident on a shutter which is removed at time $t=0$ is studied in the presence of a linear potential. The solution is also discussed in phase space in terms of the Wigner function. An alternative configuration relevant to current experiments where particles are released from a hard wall trap is also analyzed for single-particle states and for a Tonks-Girardeau gas.

11 pages, 6 figures

References in corpus (11)

• Quantum state reconstruction of the single-photon Fock state
• Bosonizing one-dimensional cold atomic gases
• Bose Einstein Condensate in a Box
• The 1D interacting Bose gas in a hard wall box
• Diffraction in time in terms of Wigner distributions and tomographic probabilities
• Fresnel Representation of the Wigner Function: An Operational Approach
• Low-Energy Properties of a One-dimensional System of Interacting bosons with Boundaries
• Matter waves from quantum sources in a force field
• Diffraction of a Bose-Einstein Condensate in the Time Domain
• Matter wave pulses characteristics
• Unitary transformation for the system of a particle in a linear potential

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• Classical Limit of the Quantum Zeno Effect by Environmental Decoherence
• Exact propagators for atom-laser interactions
• Atom laser dynamics in a tight-waveguide
• Boundary bound diffraction: A combined spectral and Bohmian analysis
• A study on quantum mechanical approach for $C_{60}$ diffraction analysis