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We study the influence of atomic interactions on quantum simulations in momentum-space lattices (MSLs), where driven transitions between discrete momentum states mimic transport between sites of a synthetic lattice. Low energy atomic…

Quantum Gases · Physics 2018-01-31 Fangzhao Alex An , Eric J. Meier , Jackson Ang'ong'a , Bryce Gadway

Synthetic dimensions are a powerful tool for engineering desired quantum systems, based on coupling together sets of states and reinterpreting these as lattice sites along an artificial dimension. Recently, a synthetic dimension of harmonic…

Synthetic dimensions alter one of the most fundamental properties in nature, the dimension of space. They allow, for example, a real three-dimensional system to act as effectively four-dimensional. Driven by such possibilities, synthetic…

Quantum Gases · Physics 2018-03-01 Bhuvanesh Sundar , Bryce Gadway , Kaden R. A. Hazzard

We study the many-body phases of bosonic atoms with $N$ internal states confined to a 1D optical lattice under the influence of a synthetic magnetic field and strong repulsive interactions. The $N$ internal states of the atoms are coupled…

Quantum Gases · Physics 2016-08-29 Thomas Bilitewski , Nigel R. Cooper

Synthetic dimensions, wherein dynamics occurs in a set of internal states, have found great success in recent years in exploring topological effects in cold atoms and photonics. However, the phenomena thus far explored have largely been…

Quantum Gases · Physics 2023-06-02 Tao Chen , Chenxi Huang , Ivan Velkovsky , Kaden R. A. Hazzard , Jacob P. Covey , Bryce Gadway

Metamaterials based on mechanical elements have been developed over the past decade as a powerful platform for exploring analogs of electron transport in exotic regimes that are hard to produce in real materials. In addition to enabling new…

Recent developments of experimental techniques have given us unprecedented opportunities of studying topological insulators in high dimensions, while some of the dimensions are "synthetic", in the sense that the effective lattice momenta…

Strongly Correlated Electrons · Physics 2018-11-28 Chao-Ming Jian , Cenke Xu

Discrete arrays of Josephson junction elements differ from their continuum counterparts in two essential ways: i) localized dynamic states in discrete arrays, which are not present in the corresponding continuum system, can interact with…

chao-dyn · Physics 2008-02-03 R. D. Parmentier

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…

In the field of quantum simulation of condensed matter phenomena by artificially engineering the Hamiltonian of an atomic, molecular or optical system, the concept of `synthetic dimensions' has recently emerged as a powerful way to emulate…

Quantum Gases · Physics 2019-10-02 Tomoki Ozawa , Hannah M. Price

We introduce a simple scheme to implement synthetic dimensions in ultracold atomic gases, which only requires two basic and ubiquitous ingredients: the harmonic trap, which confines the atoms, combined with a periodic shaking. In our…

Quantum Gases · Physics 2017-02-15 Hannah M. Price , Tomoki Ozawa , Nathan Goldman

We study the influence of atomic interactions on quantum simulations in momentum-space lattices (MSLs), where driven atomic transitions between discrete momentum states mimic transport between sites of a synthetic lattice. Low energy atomic…

Quantum Gases · Physics 2018-01-31 Bryce Gadway , Fangzhao Alex An , Eric J. Meier , Jackson Ang'ong'a

Activating transitions between a set of atomic internal states has emerged as an elegant scheme by which lattice models can be designed in ultracold atomic gases. In this approach, the internal states can be viewed as fictitious lattice…

Quantum Gases · Physics 2021-01-04 L. Barbiero , L. Chomaz , S. Nascimbene , N. Goldman

We study interacting bosonic or fermionic atoms in a high synthetic magnetic field in two dimensions spanned by continuous real space and a synthetic dimension. Here, the synthetic dimension is provided by hyperfine spin states, and the…

Quantum Gases · Physics 2017-04-17 Takeshi Y. Saito , Shunsuke Furukawa

Ultracold atoms in optical lattices offer a unique platform for investigating disorder-driven phenomena. While static disordered site potentials have been explored in a number of optical lattice experiments, a more general control over…

Quantum Gases · Physics 2017-09-28 Fangzhao Alex An , Eric J. Meier , Bryce Gadway

The synthetic dimension, a research topic of both fundamental significance and practical applications, is attracting increasing attention in recent years. In this paper, we propose a theoretical framework to construct arbitrary synthetic…

Quantum Physics · Physics 2021-07-21 Dali Cheng , Bo Peng , Da-Wei Wang , Xianfeng Chen , Luqi Yuan , Shanhui Fan

We report on the first realization of a single bosonic Josephson junction, implemented by two weakly linked Bose-Einstein condensates in a double-well potential. In order to fully investigate the nonlinear tunneling dynamics we measure the…

Other Condensed Matter · Physics 2016-08-31 Michael Albiez , Rudolf Gati , Jonas Foelling , Stefan Hunsmann , Matteo Cristiani , Markus K. Oberthaler

The concept of synthetic dimensions has emerged as a powerful framework in photonics and atomic physics, enabling the exploration of high-dimensional physics beyond conventional spatial constraints. Originally developed for quantum…

Power induced wave collapse is one of the most fascinating phenomena in optics as it provides extremely high intensities, thus stimulating a range of nonlinear processes. For low power levels, propagation of beams in bulk media is dominated…

Nonlinearities can have a profound influence on the dynamics and equilibrium properties of discrete lattice systems. The simple case of two coupled modes with self-nonlinearities gives rise to the rich bosonic Josephson effects. In…

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