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We study super Bloch oscillations of ultracold atoms in a shaken lattice potential, subjected to a harmonically modulated mean-field interaction. Usually, any interaction leads to the decay of the wave packet and its super Bloch…

Quantum Gases · Physics 2013-01-22 Elena Díaz , Alberto García Mena , Kunihiko Asakura , Christopher Gaul

Bichromatic control, in terms of the amplitude and relative phase of the second field as control knobs, is an useful approach for controlling a variety of quantum processes. In this context, understanding the features of the control…

Chaotic Dynamics · Physics 2014-12-01 Archana Shukla , Srihari Keshavamurthy

Synthetic photonic lattice with temporally controlled potentials is a versatile platform for realizing wave dynamics associated with physical areas of optics and quantum physics. Here, discrete optics in one-dimensionally synthetic photonic…

Optics · Physics 2020-10-28 Zengrun Wen , Kaile Wang , Baole Lu , Xinyuan Qi , Haowei Chen , Jintao Bai

We describe a limiting case when nonlinear dynamics of an ac-driven semiconductor superlattice in the miniband transport regime is governed by a periodically forced and damped pendulum. We find analytically the conditions for a transition…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kirill N. Alekseev , Feodor V. Kusmartsev

We report on the first experimental observation of photonic Bloch oscillations and Zener tunneling in two-dimensional periodic systems. We study the propagation of an optical beam in a square photonic lattice superimposed on a refractive…

Synthetic dimensions provide a powerful approach for simulating condensed matter physics in cold atoms and photonics, whereby a set of discrete degrees of freedom are coupled together and re-interpreted as lattice sites along an artificial…

We analyze the physics of Bose-Einstein condensates confined in 2D quasi-periodic optical lattices, which offer an intermediate situation between ordered and disordered systems. First, we analyze the time-of-flight interference pattern that…

Other Condensed Matter · Physics 2016-08-16 Laurent Sanchez-Palencia , Luis Santos

Exotic tiling patterns of quasicrystals have gotten a lot of attention for unique quantum phenomena such as critical state and multifractality. In this regard, finding new quasi-periodic tiling patterns and the relevant quantum states is…

Mesoscale and Nanoscale Physics · Physics 2022-06-01 Junmo Jeon , SungBin Lee

The study of the quantum to classical transition is of fundamental as well as technological importance, and focusses on mesoscopic devices, with a size for which either classical physics or quantum physics can be brought to dominate. A…

Quantum Physics · Physics 2020-10-21 Piyush Jangid , Anil Kumar Chauhan , Sebastian Wüster

We suggest that Bose-Einstein condensates in optical lattices subjected to ac forcing with a smooth envelope may provide detailed experimental access to multiphoton-like transitions between ac-Stark-shifted Bloch bands. Such transitions…

Quantum Gases · Physics 2012-06-05 Stephan Arlinghaus , Martin Holthaus

The nonequilibrium quantum dynamics of few boson ensembles which experience a spatially modulated interaction strength and are confined in finite optical lattices is investigated. We utilize a cosinusoidal spatially modulated effective…

Quantum Gases · Physics 2018-10-30 T. Plaßmann , S. I. Mistakidis , P. Schmelcher

Bloch oscillations (BOs) refer to a periodically oscillatory motion of particle in lattice systems driven by a constant force. By temporally modulating acoustic waveguides, BOs can be generalized from spatial to frequency domain, opening…

Applied Physics · Physics 2019-06-12 Chengzhi Qin , Yugui Peng , Ying Li , Xuefeng Zhu , Bing Wang , Cheng-Wei Qiu , Peixiang Lu

The qualitative nature (i.e. integrable vs. chaotic) of the translational dynamics of a three-level atom in an optical lattice is shown to be controllable by varying the relative laser phase of two standing wave lasers. Control is explained…

Quantum Physics · Physics 2009-11-07 Jiangbin Gong , Paul Brumer

Full control over the dynamics of interacting, indistinguishable quantum particles is an important prerequisite for the experimental study of strongly correlated quantum matter and the implementation of high-fidelity quantum information…

The behavior of a Bloch particle in a complex crystal with PT symmetry subjected to a sinusoidal ac force is theoretically investigated. For unbroken PT symmetry and in the single-band approximation, it is shown that time reversal symmetry…

Quantum Physics · Physics 2010-01-08 S. Longhi

We show that the recently developed optical lattices with Peierls substitution -- which can be modeled as a lattice with a complex tunneling coefficient -- may be used to induce controllable quantum transport of ultra-cold atoms. In…

Quantum Gases · Physics 2013-02-12 Chih-Chun Chien , Massimiliano Di Ventra

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

We analyze the current dynamics of a superlattice Bloch oscillator under conditions where, in addition to the dc bias field causing a negative differential ac conductivity, a similarly strong ac field is present, at a frequency somewhat…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Herbert Kroemer

Synthetic frequency dimension offers a powerful approach to simulate lattice models and control photon dynamics. However, extending this concept into the quantum regime, particularly at the single-photon level, has remained challenging in…

We demonstrate that a site-dependent driving of a periodic potential allows for the controlled manipulation of a quantum particle on length scales of the lattice spacing. Specifically we observe for distinct driving frequencies a near…

Quantum Physics · Physics 2015-05-20 Thomas Wulf , Benno Liebchen , Peter Schmelcher