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We start by reviewing the concept of gauge invariance in quantum mechanics, for Abelian and Non-Ableian cases. Then we idescribe how the various gauge potential and field can be associated with the geometrical phase acquired by a quantum…

Quantum Gases · Physics 2014-07-07 Sankalpa Ghosh , Rashi Sachdeva

Electrons in artificial lattices enable explorations of the impact of repulsive Coulomb interactions in a tunable system. We have trapped two-dimensional electrons belonging to a gallium arsenide quantum well in a nanofabricated lattice…

Strongly Correlated Electrons · Physics 2011-06-17 A. Singha , M. Gibertini , B. Karmakar , S. Yuan , M. Polini , G. Vignale , M. I. Katsnelson , A. Pinczuk , L. N. Pfeiffer , K. W. West , V. Pellegrini

We have studied interacting and non-interacting quantum degenerate Fermi gases in a three-dimensional optical lattice. We directly image the Fermi surface of the atoms in the lattice by turning off the optical lattice adiabatically. Due to…

Superconductivity · Physics 2009-11-10 Michael Köhl , Henning Moritz , Thilo Stöferle , Kenneth Günter , Tilman Esslinger

A purely artificial mechanism for optical nonlinearity is proposed based on a metamaterial route. The mechanism is derived from classical electromagnetic interaction in a meta-molecule consisting of a cut-wire meta-atom nested within a…

Optics · Physics 2018-03-19 Yongzheng Wen , Ji Zhou

We propose an experimental scheme to simulate the many-body dynamical quantum Hall effect with ultra-cold bosonic atoms in a one-dimensional optical lattice. We first show that the required model Hamiltonian of a spin-1/2 Heisenberg chain…

Quantum Gases · Physics 2016-04-19 Dan-Wei Zhang , Xu-Chen Yang

We study a model of a 2D ultracold atomic gas subject to an "optical flux lattice": a laser configuration where Raman-dressed atoms experience a strong artificial magnetic field. This leads to a bandstructure of narrow energy bands with…

Quantum Gases · Physics 2015-08-19 Simon C. Davenport , Nigel R. Cooper

The fields of quantum simulation with cold atoms [1] and quantum optics [2] are currently being merged. In a set of recent pathbreaking experiments with atoms in optical cavities [3,4] lattice quantum many-body systems with both, a…

Quantum Gases · Physics 2018-04-20 Jan Gelhausen , Michael Buchhold , Achim Rosch , Philipp Strack

We consider the nonstationary circuit QED setup in which a 3-level artificial atom in the $\Delta$-configuration interacts with a single-mode cavity field of natural frequency $\omega $. It is demonstrated that when some atomic energy…

Quantum Physics · Physics 2018-09-05 H Dessano , A V Dodonov

Effective gravity and gauge fields are emergent properties intrinsic for low-energy quasiparticles in topological semimetals. Here, taking two Dirac semimetals as examples, we demonstrate that applied lattice strain can generate warped…

Materials Science · Physics 2017-05-11 Shan Guan , Zhi-Ming Yu , Ying Liu , Gui-Bin Liu , Liang Dong , Yunhao Lu , Yugui Yao , Shengyuan A. Yang

The experimental investigation of quantum phases in optical lattice systems provides major challenges. Recently, dynamical generation of double occupancy via modulation of the hopping amplitude t has been used to characterize the strongly…

Other Condensed Matter · Physics 2009-02-09 S. D. Huber , A. Rüegg

We develop a theory of artificial gauge fields in photon fluids for the cases of both second-order and third-order optical nonlinearities. This applies to weak excitations in the presence of pump fields carrying orbital angular momentum,…

Quantum Gases · Physics 2016-08-03 N. Westerberg , C. Maitland , D. Faccio , K. Wilson , P. Öhberg , E. M. Wright

We report on the experimental realization of a uniform synthetic magnetic flux and the observation of Aharonov-Bohm cages in photonic lattices. Considering a rhombic array of optical waveguides, we engineer modulation-assisted tunneling…

We describe a synthetic three-leg Hall ladder system with a tunable magnetic flux for neutral $^{173}$Yb atoms in a one-dimensional optical lattice. The ladder legs are formed by three hyperfine ground spin states of the atoms, and the…

Quantum Gases · Physics 2022-04-20 Jeong Ho Han , Dalmin Bae , Yong-il Shin

We study fermionic and bosonic systems coupled to a real or synthetic static gauge field that is quantized, so the field itself is a quantum degree of freedom and can exist in coherent superposition. A natural example is electrons on a…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Adel Ali , Alexey Belyanin

We propose a scheme to realize lattice potentials of sub-wavelength spacing for ultracold atoms. It is based on spin-dependent optical lattices with a time-periodic modulation. We show that the atomic motion is well described by the…

Quantum Gases · Physics 2015-10-07 Sylvain Nascimbene , Nathan Goldman , Nigel R. Cooper , Jean Dalibard

Dirac-Weyl fermions are massless relativistic particles with a well-defined helicity which arise in the context of high-energy physics. Here we propose a quantum simulation of these paradigmatic fermions using multicomponent ultracold atoms…

Quantum Gases · Physics 2012-01-04 Z. Lan , N. Goldman , A. Bermudez , W. Lu , P. Ohberg

We have constructed the geometric phases emerging from the non-trivial topology of a space-dependent magnetic field, interacting with the spin magnetic moment of a neutral particle. Our basic tool is the local unitary transformation which…

Atomic Physics · Physics 2015-06-05 Marie-Anne Bouchiat , Claude Bouchiat

We describe an experimental protocol for introducing spin-dependent lattice structure in a cold atomic fermi gas using lasers. It can be used to realize Hubbard models whose hopping parameters depend on spin and whose interaction strength…

Superconductivity · Physics 2016-08-31 W. Vincent Liu , Frank Wilczek , Peter Zoller

Ultracold bosonic atoms in optical lattices self-organize into a variety of structural and quantum phases when placed into a single-mode cavity and pumped by a laser. Cavity optomechanical effects induce an atom density modulation at the…

Quantum Gases · Physics 2016-09-14 Astrid E. Niederle , Giovanna Morigi , Heiko Rieger

We establish that the interplay of itinerant fermions with localized magnetic moments on a checkerboard lattice leads to magnetic flux-phases. For weak itineracy the flux-phase is coplanar and the electronic dispersion takes the shape of…

Strongly Correlated Electrons · Physics 2015-06-04 Jörn W. F. Venderbos , Maria Daghofer , Jeroen van den Brink , Sanjeev Kumar