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Talbot interferometer, as a periodic reproduction of momentum distribution in the time domain, finds significant applications in multiple research. The inter-particle interactions during the diffraction and interference process introduce…

Quantum Gases · Physics 2024-12-11 Fansu Wei , Zhengxi Zhang , Yuying Chen , Hongmian Shui , Yun Liang , Chen Li , Xiaoji Zhou

We consider interference patterns produced by coherent arrays of Bose-Einstein condensates during their one-dimensional expansion. Several characteristic pattern structures are distinguished depending on value of the evolution time.…

Soft Condensed Matter · Physics 2009-11-10 A. Gammal , A. M. Kamchatnov

A freely propagating optical field having a periodic transverse spatial profile undergoes periodic axial revivals - a well-known phenomenon known as the Talbot effect or self-imaging. We show here that introducing tight spatio-temporal…

A well-known phenomenon in both optics and quantum mechanics is the so-called Talbot effect. This near field interference effect arises when infinitely periodic diffracting structures or gratings are illuminated by highly coherent light or…

Quantum Physics · Physics 2007-06-19 A. S. Sanz , S. Miret-Artes

An exact theory for the density of a one-dimensional Bose-Einstein condensate with hard core particle interactions is developed in second quantization and applied to the scattering of the condensate by a spatially periodic impulse…

Atomic Physics · Physics 2016-09-08 A. G. Rojo , J. L. Cohen , P. R. Berman

The Talbot effect, epitomized by periodic revivals of a freely evolving periodic field structure, has been observed with waves of diverse physical nature in space and separately in time, whereby diffraction underlies the former and…

Recent progress in matter-wave interferometry aims to directly probe the quantum properties of matter on ever increasing scales. However, in order to perform interferometric experiments with massive mesoscopic objects, taking into account…

The Talbot effect, i.e. the self-imaging property of a periodic wave in near-field diffraction, is a remarkable interference phenomenon in paraxial systems with continuous translational invariance. In crystals, i.e. systems with discrete…

Quantum Physics · Physics 2015-06-23 Stefano Longhi

We demonstrate the temporal Talbot effect for trapped matter waves using ultracold atoms in an optical lattice. We investigate the phase evolution of an array of essentially non-interacting matter waves and observe matter-wave collapse and…

The matter-wave interference picture, which appears within the quantum Talbot effect, changes qualitatively in response to even a small randomness in the phases of the sources. The spatial spectrum acquires peaks which are absent in the…

Quantum Gases · Physics 2019-07-08 V. B. Makhalov , A. V. Turlapov

The Talbot effect describes the emergence of periodic patterns in perturbed propagating wave fields. The effect is well studied for perturbations from structurally coherent optics such as diffraction gratings. The emergence of freeform and…

Optics · Physics 2026-05-25 Robin Krüger , Jeevan Rois , Martin Bech , Matias Kagias

We study both experimentally and theoretically, considering bosonic atoms in a periodic potential, the influence of interactions in a Talbot interferometer. While interactions decrease the contrast of the revivals, we find that over a wide…

For a long periodic chain of Bose condensates prepared in the free space, the subsequent evolution and interference dramatically depend on the difference between the phases of the adjacent and more distant condensates. If the phases are…

Quantum Gases · Physics 2026-03-24 Vasiliy Makhalov , Andrey Turlapov

A generalized description of Talbot-Lau interference with matter waves is presented, which accounts for arbitrary grating interactions and realistic beam characteristics. The dispersion interaction between the beam particles and the optical…

Quantum Physics · Physics 2008-08-18 Stefan Nimmrichter , Klaus Hornberger

We experimentally demonstrate the Talbot effect resulting from the repeated self-reconstruction of a spatially intensity-modulated probe field under the Fresnel near-field regime. By launching the probe beam into an optically induced atomic…

We shortly recall the mathematical and physical aspects of Talbot's self-imaging effect occurring in near-field diffraction. In the rational paraxial approximation, the Talbot images are formed at distances z=p/q, where p and q are…

Optics · Physics 2007-05-23 H. C. Rosu , J. P. Trevino , H. Cabrera , J. S. Murguia

The Talbot effect, in which a wave imprinted with transverse periodicity reconstructs itself at regular intervals, is a diffraction phenomenon that occurs in many physical systems. Here we present the first observation of the Talbot effect…

Quantum Physics · Physics 2009-11-13 Benjamin J. McMorran , Alexander D. Cronin

The Talbot self-imaging phenomenon is a fundamental interference effect that is natural to all waves with a periodic structure. We theoretically and experimentally study the Talbot effect for optical waves in the transverse angular domain…

Optics · Physics 2024-07-17 Matias Eriksson , Benjamin A. Stickler , Robert Fickler

The self-imaging, or Talbot Effect, that occurs with the propagation of periodically structured waves has enabled several unique applications in optical metrology, image processing, data transmission, and matter-wave interferometry. In this…

Bose-Einstein condensates initially arranged in a long chain freely expand and interfere. If the initial phases of the condensates are identical, the initial density distribution is restored periodically during the expansion, giving rise to…

Quantum Gases · Physics 2026-03-25 Ilia Mosaki , A. V. Turlapov
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