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We investigate the Gouy phase shift for full-aperture waves converging to a focal point from all directions in two and three dimensions. We find a simple interpretation for the Gouy phase in this situation and show that it has a dramatic…

Optics · Physics 2014-06-16 Tomas Tyc

The Gouy phase is essential for accurately describing various wave phenomena, ranging from classical electromagnetic waves to matter waves and quantum optics. In this work, we employ phase-space methods based on the cross-Wigner…

Quantum Physics · Physics 2024-05-31 Lucas S. Marinho , Pedro R. Dieguez , Carlos H. S. Vieira , Irismar G. da Paz

The new mechanism for obtaining a nonlinear phase shift has been proposed and the schemes are described for its implementation. As it is shown, the interference of two waves with intensity-dependent amplitude ratio coming from the second…

Optics · Physics 2007-05-23 V. P. Drachev , S. V. Perminov

Realizing a strong interaction between individual optical photons is an important objective of research in quantum science and technology. Since photons do not interact directly, this goal requires, e.g., an optical medium in which the…

Quantum Physics · Physics 2015-06-19 Jürgen Volz , Michael Scheucher , Christian Junge , Arno Rauschenbeutel

Ionization of atoms by linearly polarized strong laser fields produces cylindrically symmetric photoelectron momentum distributions that exhibit modulations due to the interference of outgoing electron trajectories. For a faithful modeling,…

Atomic Physics · Physics 2020-04-22 Simon Brennecke , Nicolas Eicke , Manfred Lein

Realizing a sensitive photon-number-dependent phase shift on a light beam is required both in classical and quantum photonics. It may lead to new applications for classical and quantum photonics machine learning or pave the way for…

We explore nonreciprocal vibration transmission in a nonlinear periodic waveguide. Nonlinearity and asymmetry, the two necessary requirements for nonreciprocity, are both introduced within the unit cell of the periodic waveguide. We focus…

Pattern Formation and Solitons · Physics 2025-10-20 Ali Kogani , Behrooz Yousefzadeh

This study numerically investigates the nonlinear interaction of head-on solitary waves in a granular chain (a nonintegrable system) and compares the simulation results with the theoretical results in fluid (an integrable system). Three…

Soft Condensed Matter · Physics 2023-10-31 Shutian Zhang , Shikun Liu , Tengfei Jiao , Min Sun , Decai Huang

Tidal interactions in coalescing binary neutron stars modify the dynamics of the inspiral and hence imprint a signature on their gravitational wave (GW) signals in the form of an extra phase shift. We need accurate models for the tidal…

General Relativity and Quantum Cosmology · Physics 2023-01-10 Hang Yu , Nevin N. Weinberg , Phil Arras , James Kwon , Tejaswi Venumadhav

We investigate pattern revivals in specially designed optical structures that combine different transverse modes. In general, the resulting pattern is not preserved under free propagation and gets transformed due to non synchronized Gouy…

Optical cavities can induce photon-mediated interactions among intracavity-trapped atoms. Multimode cavities provide the ability to tune the form of these interactions, e.g., by inducing a nonlocal, sign-changing term to the interaction. By…

It has been suggested that second-order nonlinearities could be used for quantum logic at the single-photon level. Specifically, successive two-photon processes in principle could accomplish the phase shift (conditioned on the presence of…

Quantum Physics · Physics 2018-03-21 Balakrishnan Viswanathan , Julio Gea-Banacloche

By adapting the Madelung-Bohm formalism to paraxial wave propagation we show, by using Ermakov-Lewis techniques, that the Gouy phase is related to the form of the phase chosen in order to produce a Gaussian function as a propagated field.…

We show that a nonlinear phase shift of pi can be obtained by using a single two level atom in a one sided cavity with negligible losses. This result implies that the use of a one sided cavity can significantly improve the pi/18 phase shift…

Quantum Physics · Physics 2009-11-07 Holger F. Hofmann , Kunihiro Kojima , Shigeki Takeuchi , Keiji Sasaki

We provide a quantitative explanation of the mechanism of the far-field intensity modulation induced by a nanoparticle in a focused Gaussian laser beam, as was demonstrated in several recent direct detection studies. Most approaches take…

Optics · Physics 2009-11-13 Jaesuk Hwang , W. E. Moerner

We investigate the resonant enhancement of nonlinear interactions in a three-mode cavity optomechanical system with two mechanical oscillators. By using the Keldysh Green's function technique we find that nonlinear effects on the cavity…

Quantum Physics · Physics 2020-04-06 Jing Qiu , Li-Jing Jin , Stefano Chesi , Ying-Dan Wang

The phases are the main factor that affects the outcome of various optical phenomena, such as quantum superposition, wave interference, and light-matter interaction. As a light wave becomes nonstatic, an additional phase, the so-called…

Quantum Physics · Physics 2024-07-08 Jeong Ryeol Choi

Over the past years, there have been many efforts towards generating interactions between two optical beams so strong that they could be observed at the level of individual photons. Such strong interactions, beyond opening up a new regime…

Quantum Physics · Physics 2015-08-24 Amir Feizpour Matin Hallaji Greg Dmochowski , Aephraim M. Steinberg

Sign-changing interactions constitute a crucial ingredient in the creation of frustrated many-body systems such as spin glasses. We present here the demonstration of a photon-mediated sign-changing interaction between Bose-Einstein…

Quantum Gases · Physics 2019-05-23 Yudan Guo , Ronen M. Kroeze , Varun V. Vaidya , Jonathan Keeling , Benjamin L. Lev

We consider how nonlinear interaction effects can manifest themselves and even be enhanced in a strongly driven optomechanical system. Using a Keldysh Green's function approach, we calculate modifications to the cavity density of states due…

Mesoscale and Nanoscale Physics · Physics 2013-08-09 Marc-Antoine Lemonde , Nicolas Didier , Aashish A. Clerk
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