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We investigate systems of bosonic particles at zero temperature in triangular and hexagonal optical lattice potentials in the framework of the Bose-Hubbard model. Employing the process-chain approach, we obtain accurate values for the…

Quantum Gases · Physics 2010-08-13 Niklas Teichmann , Dennis Hinrichs , Martin Holthaus

We use a momentum-space hole-burning technique implemented via stimulated Raman transitions to measure the momentum relaxation time for a gas of bosonic atoms trapped in an optical lattice. By changing the lattice potential depth, we…

Quantum Gases · Physics 2016-08-10 David Chen , Carolyn Meldgin , Philip Russ , Erich Mueller , Brian DeMarco

We present a simple and efficient scheme to reduce atom-number fluctuations in optical lattices. The interaction-energy difference for atoms in different vibrational states is used to remove excess atomic occupation. The remaining vacant…

Quantum Physics · Physics 2012-09-24 Malte C. Tichy , Klaus Mølmer , Jacob F. Sherson

Based on a generalized one-band Hubbard model, we study magnetic properties of Mott insulating states for ultracold spin-3/2 fermionic atoms in optical lattices. When the \textit{s}-wave scattering lengths for the total spin $S=2,0$ satisfy…

Strongly Correlated Electrons · Physics 2007-05-23 Hong-Hao Tu , Guang-Ming Zhang , Lu Yu

$^{1}$H NMR and static susceptibility measurements have been performed in an organic Mott insulator with nearly isotropic triangular lattice, $\kappa$-(BEDT-TTF)$_{2}$Cu$_{2}$(CN)$_{3}$, which is a model system of frustrated quantum spins.…

Strongly Correlated Electrons · Physics 2009-11-10 Y. Shimizu , K. Miyagawa , K. Kanoda , M. Maesato , G. Saito

We show how dipolar interactions between dysprosium atoms in an optical lattice can be used to obtain fractional quantum Hall states. In our approach, dysprosium atoms are trapped one atom per site in a deep optical lattice with negligible…

We investigate two holes in the the $t_{2g}$ levels of a square-lattice Mott insulator with strong spin-orbit coupling. Exact diagonalization of a spin-orbital model valid at strong onsite interactions, but arbitrary spin-orbit coupling and…

Strongly Correlated Electrons · Physics 2021-09-29 Pascal Strobel , Friedemann Aust , Maria Daghofer

Trial wavefunctions, constructed explicitly from the unique 2-dimensional Mott insulating state with antiferromagnetic order, are proposed to describe the low-energy states of a Mott insulator slightly doped with holes or electrons. With…

Strongly Correlated Electrons · Physics 2009-11-07 T. K. Lee , Chang-Ming Ho , Naoto Nagaosa , Wei-Cheng Lee

We investigate strongly correlated spin-1 ultracold bosons with antiferromagnetic interactions in a cubic optical lattice, based on bosonic dynamical mean-field theory. Rich phase diagrams of the system are mapped out at both zero and…

Quantum Gases · Physics 2016-03-23 Yongqiang Li , Liang He , Walter Hofstetter

By deriving and studying the coordinate representation for the one-spinon one-holon wavefunction we show that spinons and holons in the supersymmetric $t - J$ model with $1/r^2$ interaction attract each other. The interaction causes a…

Strongly Correlated Electrons · Physics 2009-11-07 Bogdan A. Bernevig , Domenico Giuliano , Robert B. Laughlin

We study a simple electron-phonon model on square and triangular versions of the Lieb-lattice using an asymptotically exact strong coupling analysis. At zero temperature and electron density $n = 1$ (one electron per unit cell), for various…

Strongly Correlated Electrons · Physics 2023-05-05 Zhaoyu Han , Steven A. Kivelson

Using mean-field theory, we investigate the ground state properties of ultracold bosons loaded in a honeycomb lattice with on-site repulsive interactions and imbalanced nearest-neighbor hopping amplitudes. Taking into account correlations…

Quantum Gases · Physics 2014-06-24 Krzysztof Gawryluk , Christian Miniatura , Benoît Grémaud

We study the performance and limitations of a coherent interface between collective atomic states and single photons. A quantized spin-wave excitation of an atomic sample inside an optical resonator is prepared probabilistically, stored,…

Atomic Physics · Physics 2009-11-13 J. Simon , H. Tanji , J. K. Thompson , V. Vuletic

We introduce a "second-quantized" representation of the ring of symmetric functions to further develop a purely second-quantized -- or "lattice" -- approach to the study of zero modes of frustration free Haldane-pseudo-potential-type…

Strongly Correlated Electrons · Physics 2015-03-02 Tahereh Mazaheri , Gerardo Ortiz , Zohar Nussinov , Alexander Seidel

Spins confined to point defects in atomically-thin semiconductors constitute well-defined atomic-scale quantum systems that are being explored as single photon emitters and spin qubits. Here, we investigate the in-gap electronic structure…

This article contains a theoretical overview of the physical properties of antiferromagnetic Mott insulators in spatial dimensions greater than one. Many such materials have been experimentally studied in the past decade and a half, and we…

Strongly Correlated Electrons · Physics 2009-11-10 Subir Sachdev

The physics of doped Mott insulators is at the heart of some of the most exotic physical phenomena in materials research including insulator-metal transitions, colossal magneto-resistance, and high-temperature superconductivity in layered…

We present in this paper an analytical model for a cold bosonic gas on an optical lattice (with densities of the order of 1 particle per site) targeting the critical regime of the Bose - Einstein Condensate superfluid - Mott insulator…

Other Condensed Matter · Physics 2013-05-29 Esteban Calzetta , Bei-Lok Hu , Ana Maria Rey

Quantum spin liquids are fascinating phases of matter, hosting fractionalized spin excitations and unconventional long-range quantum entanglement. These exotic properties, however, also render their experimental characterization…

Strongly Correlated Electrons · Physics 2022-09-20 Wilhelm Kadow , Laurens Vanderstraeten , Michael Knap

We have measured the doping and temperature dependence of lattice vibrations and magnetic excitations in the prototypical doped spin-orbit Mott insulator Sr$_{2-x}$La$_x$IrO$_4$ (x=0, 0.015, and 0.10). Our findings show that the…

Strongly Correlated Electrons · Physics 2017-09-27 H. Gretarsson , J. Sauceda , N. H. Sung , M. Höppner , M. Minola , B. J. Kim , B. Keimer , M. Le Tacon