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We show that by displacing two optical lattices with respect to each other, we may produce interactions similar to the ones describing ferro-magnetism in condensed matter physics. We also show that particularly simple choices of the…

Quantum Physics · Physics 2009-01-23 Anders Sorensen , Klaus Molmer

An experiment demonstrating the quantum simulation of a spin-lattice Hamiltonian is proposed. Dipolar interactions between nuclear spins in a solid state lattice can be modulated by rapid radio-frequency pulses. In this way, the effective…

Quantum Physics · Physics 2007-05-23 Georgios Roumpos , Cyrus P. Master , Yoshihisa Yamamoto

We study the states of one and two atoms in a rotating ring lattice in a Hubbard type tight-binding model. The model is developed carefully from basic principles in order to properly identify the physical observables. The one-particle…

Quantum Physics · Physics 2015-06-04 Juha Javanainen , Otim Odong , Jerome C. Sanders

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

Here, we propose a platform based on ultra-cold fermionic molecules trapped in optical lattices to simulate nonadiabatic effects, as they appear in certain molecular dynamical problems. The idea consists of a judicious choice of two…

Quantum Gases · Physics 2025-09-25 Javier Argüello-Luengo , Alejandro González-Tudela , J. Ignacio Cirac

Ultracold bosons in a triangular lattice are a promising candidate for observing quantum spin liquid behavior. Here we investigate, for such system, the role of a harmonic trap giving rise to an inhomogeneous density. We construct a…

A two-dimensional Pauli Hamiltonian describing the interaction of a neutral spin-1/2 particle with a magnetic field having axial and second order symmetries, is considered. After separation of variables, the one-dimensional matrix…

High Energy Physics - Theory · Physics 2008-11-26 M. V. Ioffe , S. Kuru , J. Negro , L . M. Nieto

Hexagonal optical lattices offer a tunable platform to study exotic orbital physics in solid state materials. Here, we present a versatile high-precision scheme to implement a hexagonal optical lattice potential, which is engineered by…

Quantum Gases · Physics 2022-12-07 Jin-Yu Liu , Guang-Quan Luo , Xiao-Qiong Wang , Andreas Hemmerich , Zhi-Fang Xu

A scheme for addressing individual atoms in one- or two-dimensional optical lattices loaded with one atom per site is proposed. The scheme is based on position-dependent atomic population transfer induced by several standing-wave driving…

Quantum Physics · Physics 2007-07-23 Jaeyoon Cho

We investigate the mutiphoton process between different Bloch states in an amplitude modulated optical lattice. In the experiment, we perform the modulation with more than one frequency components, which includes a high degree of freedom…

Quantum Gases · Physics 2015-04-14 Linxiao Niu , Dong Hu , Shengjie Jin , Xiangyu Dong , Xuzong Chen , Xiaoji Zhou

We have prepared two ultracold fermionic atoms in an isolated double-well potential and obtained full control over the quantum state of this system. In particular, we can independently control the interaction strength between the particles,…

Quantum simulations of Hubbard models with ultracold atoms rely on the exceptional control of coherent motion provided by optical lattices. Here we demonstrate enhanced tunability using an optical superlattice in a fermionic quantum gas…

We demonstrate the controlled coherent transport and splitting of atomic wave packets in spin-dependent optical lattice potentials. Such experiments open intriguing possibilities for quantum state engineering of many body states. After…

Soft Condensed Matter · Physics 2009-11-10 Olaf Mandel , Markus Greiner , Artur Widera , Tim Rom , Theodor W. Haensch , Immanuel Bloch

We study the ground state properties of spin-1 bosons in a two-dimensional optical lattice, by applying a variational Monte Carlo method to the S=1 Bose-Hubbard model on a square lattice at unit filling. A doublon-holon binding factor…

Quantum Gases · Physics 2012-06-08 Yuta Toga , Hiroki Tsuchiura , Makoto Yamashita , Kensuke Inaba , Hisatoshi Yokoyama

Mott insulator of atomic transport can be realized in driven optical lattices by choosing particular ratio of driving frequency and amplitude, which has been studied as Floquet engineering with time-independent effective Hamiltonian…

Quantum Gases · Physics 2025-11-11 Wenxi Lai , Yu-Quan Ma , Yi-Wen Wei

The production of molecules from dual species atomic quantum gases has enabled experiments that employ molecules at nanoKelvin temperatures. As a result, every degree of freedom of these molecules is in a well-defined quantum state and…

Quantum Gases · Physics 2018-04-27 Jacob P. Covey , Steven A. Moses , Jun Ye , Deborah S. Jin

We investigate effects of optical lattice potential in one- and two-dimensional two-component trapped Fermi gases with population imbalances. Using the exact diagonalization and the density matrix renormalization group methods…

Strongly Correlated Electrons · Physics 2008-06-05 M. Machida , S. Yamada , M. Okumura , Y. Ohashi , H. Matsumoto

We consider ultracold matter of spin-2 atoms in optical lattices. We derive an effective Hamiltonian for the studies of spin ordering in Mott states and investigate hyperfine spin correlations. Particularly, we diagonalize the Hamiltonian…

Quantum Gases · Physics 2009-12-15 Michiel Snoek , Jun Liang Song , Fei Zhou

We analyze the Euclidean version of supersymmetric quantum mechanics on the lattice by means of a numerical path integral. We consider two different lattice derivatives and improve the actions containing them with respect to supersymmetry…

High Energy Physics - Lattice · Physics 2014-02-05 Sebastian Schierenberg , Falk Bruckmann

We demonstrate that a triangular optical lattice of two atomic species, bosonic or fermionic, can be employed to generate a variety of novel spin-1/2 Hamiltonians. These include effective three-spin interactions resulting from the…

Quantum Physics · Physics 2009-11-10 Jiannis K. Pachos , Enrique Rico