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We consider a one-dimensional "zigzag" lattice, pictured as a two-site wide single strip taken from a triangular lattice, affected by a tunable homogeneous magnetic flux piercing its triangular plaquettes. We focus on a semi-synthetic…

The realization of topological states of matter in ultracold atomic gases is currently the subject of intense experimental activity. Using a synthetic dimension, encoded in a non-spatial degree of freedom, can greatly simplify the…

Quantum Gases · Physics 2023-12-14 Aurélien Fabre , Sylvain Nascimbene

The combination of interactions and static gauge fields plays a pivotal role in our understanding of strongly-correlated quantum matter. Cold atomic gases endowed with a synthetic dimension are emerging as an ideal platform to…

In recent years there has been significant interest in the concepts of synthetic dimensions, where one couples the internal degrees of freedom of a particle to form higher-dimensional lattices in lower-dimensional physical structures. For…

Optics · Physics 2019-07-24 Avik Dutt , Momchil Minkov , Qian Lin , Luqi Yuan , David A. B. Miller , Shanhui Fan

Many transport processes in nature take place on substrates, often considered as unidimensional lanes. These unidimensional substrates are typically non-static: affected by a fluctuating environment, they can undergo conformational changes.…

Statistical Mechanics · Physics 2013-01-11 Francesco Turci , Andrea Parmeggiani , Estelle Pitard , M. Carmen Romano , Luca Ciandrini

We introduce a discrete-time quantum dynamics on a two-dimensional lattice that describes the evolution of a $1+1$-dimensional spin system. The underlying quantum map is constructed such that the reduced state at each time step is…

Quantum Physics · Physics 2019-02-11 I. Lesanovsky , Katarzyna Macieszczak , Juan P. Garrahan

The recent emerging field of synthetic dimension in photonics offers a variety of opportunities for manipulating different internal degrees of freedom of photons such as the spectrum of light. While nonlinear optical effects can be…

Optics · Physics 2020-09-01 Luqi Yuan , Avik Dutt , Mingpu Qin , Shanhui Fan , Xianfeng Chen

We analyze the dynamics of ultracold atoms in optical lattices induced by a sudden shift of the underlying harmonic trapping potential. In order to study the effect of strong interactions, dimensionality and lattice topology on transport…

Other Condensed Matter · Physics 2011-11-15 Michiel Snoek , Walter Hofstetter

We discuss correlated lattice models with a time-dependent potential across a barrier and show how to implement a Josephson-junction-like behavior. The pairing occurs by a correlation effect enhanced by the symmetry of the system. In order…

Superconductivity · Physics 2009-11-11 Stefano Bellucci , Michele Cini , Pasquale Onorato , Enrico Perfetto

In quantum mechanical many-body systems, long-range and anisotropic interactions promote rich spatial structure and can lead to quantum frustration, giving rise to a wealth of complex, strongly correlated quantum phases. Long-range…

The competition of magnetic exchange interactions and tunneling underlies many complex quantum phenomena observed in real materials. We study non-equilibrium magnetization dynamics in an extended 2D system by loading effective spin-1/2…

Quantum Gases · Physics 2016-04-13 R. C. Brown , R. Wyllie , S. B. Koller , E. A. Goldschmidt , M. Foss-Feig , J. V. Porto

The correlated non-equilibrium dynamics of few-boson systems in one-dimensional finite lattices is investigated. Starting from weak interactions we perform a sudden interaction quench and employ the numerically exact Multi-Layer…

Quantum Gases · Physics 2017-10-31 S. I. Mistakidis , L. Cao , P. Schmelcher

Synthetic dimensions provide a powerful route to engineer topological lattice models in ultracold atomic systems, but they contain intrinsic nonlocal interactions along the synthetic direction. We investigate an extended Harper-Hofstadter…

Quantum Gases · Physics 2026-03-18 Patrick Liam Geraghty , Alberto Nardin , Leonardo Mazza , Matteo Rizzi

In recent years, the systems comprising of bosonic atoms confined to optical lattices at ultra-cold temperatures have demonstrated tremendous potential to unveil novel quantum mechanical effects appearing in lattice boson models with…

Quantum Gases · Physics 2025-07-31 Titas Chanda , Luca Barbiero , Maciej Lewenstein , Manfred J. Mark , Jakub Zakrzewski

We study the impact of classical short-range nonlinear interactions on transport in lattices with no dispersion. The single particle band structure of these lattices contains flat bands only, and cages non-interacting particles into compact…

Quantum Gases · Physics 2021-08-25 Carlo Danieli , Alexei Andreanov , Thudiyangal Mithun , Sergej Flach

Topological mechanical metamaterials have enabled new ways to control stress and deformation propagation. Exemplified by Maxwell lattices, they have been studied extensively using a linearized formalism. Herein, we study a two-dimensional…

The study of time-dependent, many-body transport phenomena is increasingly within reach of ultra-cold atom experiments. We show that the introduction of spatially inhomogeneous interactions, e.g., generated by optically-controlled…

Quantum Gases · Physics 2013-06-27 Chih-Chun Chien , Daniel Gruss , Massimiliano Di Ventra , Michael Zwolak

Recent advances in the study of synthetic dimensions revealed a possibility to employ the frequency space as an additional degree of freedom which allows for investigating and exploiting higher-dimensional phenomena in a priori…

Pattern Formation and Solitons · Physics 2020-08-19 Aleksandr K. Tusnin , Alexey M. Tikan , Tobias J. Kippenberg

We experimentally investigate a scheme for studying lattice transport phenomena, based on the controlled momentum-space dynamics of ultracold atomic matter waves. In the effective tight-binding models that can be simulated, we demonstrate…

Quantum Gases · Physics 2016-07-12 Eric J. Meier , Fangzhao Alex An , Bryce Gadway

A dynamically-modulated ring system with frequency as a synthetic dimension has been shown to be a powerful platform to do quantum simulation and explore novel optical phenomena. Here we propose synthetic honeycomb lattice in a…

Optics · Physics 2021-10-05 Danying Yu , Guangzhen Li , Meng Xiao , Da-Wei Wang , Yong Wan , Luqi Yuan , Xianfeng Chen