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We consider a quantum particle in tilted two-dimensional lattices in the tight-binding approximations. We found that for some lattice geometries and certain orientations of the static force with respect to the lattice primary axes the…

Quantum Physics · Physics 2014-01-22 Evgeny N. Bulgakov , Andrey R. Kolovsky

Under certain conditions, a transparent photonic band can be designed into a one-dimensional metallodielectric nanofilm structure. Unlike conventional pass bands in photonic crystals, where the finite thickness of the structure affects the…

Optics · Physics 2011-11-09 Simin Feng , J. Merle Elson , Pamela L. Overfelt

Defects in tight-binding lattices generally destroy the onset of Bloch oscillations (BOs) and the periodic self-imaging of the wave packet due to the lack of an equally-spaced Wannier-Stark ladder spectrum. Here it is shown that localized…

Other Condensed Matter · Physics 2015-05-19 Stefano Longhi

Induced transparency is a common but remarkable effect in optics. It occurs when a strong driving field is used to render an otherwise opaque material transparent. The effect is known as electromagnetically induced transparency in atomic…

Optical lattice loaded with cold atoms can exhibit a tunable photonic band gap for a weak probe field under the conditions of electromagnetically induced transparency. This system possesses a number of advantageous properties, including…

Quantum Physics · Physics 2011-11-10 David Petrosyan

Bloch oscillations, the oscillatory motion of a quantum particle in a periodic potential, are one of the most fascinating effects of coherent quantum transport. Originally studied in the context of electrons in crystals, Bloch oscillations…

We present a theory of electromagnetically induced transparency in a cold ensemble of strongly interacting Rydberg atoms. Long-range interactions between the atoms constrain the medium to behave as a collection of superatoms, each…

Quantum Physics · Physics 2011-11-23 David Petrosyan , Johannes Otterbach , Michael Fleischhauer

Particles in a perfect lattice potential perform Bloch oscillations when subject to a constant force, leading to localization and preventing conductivity. For a weakly-interacting Bose-Einstein condensate (BEC) of Cs atoms, we observe giant…

Laser induced line narrowing effect, discovered more than thirty years ago, can also be applied to recent studies in high resolution spectroscopy based on electromagnetically induced transparency. In this paper we first present a general…

Atomic Physics · Physics 2009-11-07 Hwang Lee , Yuri Rostovtsev , Chris J. Bednar , Ali Javan

We investigate the propagation of electromagnetic waves in finite photonic band gap structures. We analyze the phenomenon of conduction and forbidden bands and we show that two regimes are to be distinguished with respect to the existence…

Optics · Physics 2007-05-23 D. Felbacq , R. Smaali

The motion of a quantum particle in a one-dimensional periodic potential can be described in terms of Bloch wave packets. Like free-particle wave packets, they can propagate without attenuation. Here, we examine this similarity more closely…

Quantum Physics · Physics 2025-09-29 Arseni Goussev , Gregory V. Morozov

Landau-Zener tunnelling is discussed in connection with optical waveguide arrays. Light injected in a specific band of the Bloch spectrum in the propagation constant can be transmitted to another band, changing its physical properties. This…

Other Condensed Matter · Physics 2009-11-10 Ramaz Khomeriki , Stefano Ruffo

We propose an exactly solvable waveguide lattice incorporating inhomogeneous coupling coefficient. This structure provides a classical analogue to the squeezed number and squeezed coherent intensity distribution in quantum optics where the…

We study the reflection of Bloch wavepackets at the interface of optical lattice possessing a shallow longitudinal out-of-phase refractive index modulation in adjacent waveguides. We show that the relation between the transmitted and…

Optics · Physics 2015-05-20 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

We study experimentally the Bloch-wave instabilities in optically-induced lattices. We reveal two different instability scenarios associated with either the transverse modulational instability of a single Bloch wave, or the nonlinear…

Pattern Formation and Solitons · Physics 2007-05-23 Dragomir Neshev , Andrey A. Sukhorukov , Yuri S. Kivshar , Wieslaw Krolikowski

Electromagnetically induced optical (or photonic) lattices via atomic coherence in atomic ensembles have recently received great theoretical and experimental interest. We here conceive a way to generate electromagnetically induced moir\'{e}…

Optics · Physics 2022-03-02 Zhiming Chen , Xiuye Liu , Jianhua Zeng

We propose the use of networks of standard, commercially-available coaxial cables as a platform to realize photonic lattice models. As a specific example, we consider a brick wall lattice formed from coaxial cables and T-shaped connectors.…

We study the behaviour of the expectation value of the acceleration of a particle in a one-dimensional periodic potential when an external homogeneous force is suddenly applied. The theory is formulated in terms of modified Bloch states…

Quantum Physics · Physics 2015-06-04 Federico Duque-Gomez , J. E. Sipe

The phenomena of induced transparency, with the typical examples of electromagnetically induced transparency (EIT) in atomic media and those based on coupled optical resonators, have attracted tremendous interest since their discoveries.…

Quantum Physics · Physics 2026-03-27 Xiao-Bo Yan , Liu Yang , Bing He

Quantum tunneling from a thin wire or a thin film through a static potential barrier in a zero magnetic field is studied. The wire or the film should satisfy a condition of transverse quantization of levels and be inhomogeneous. Depending…

Quantum Physics · Physics 2008-06-11 B. Ivlev
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