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Free electrons hopping on hyperbolic lattices embedded on a negatively curved space can foster (a) Dirac liquids, (b) Fermi liquids, and (c) flat bands, respectively characterized by a vanishing, constant, and divergent density of states…

Strongly Correlated Electrons · Physics 2025-03-24 Noble Gluscevich , Abhisek Samanta , Sourav Manna , Bitan Roy

Lieb-Robinson-type bounds are reported for a large class of classical Hamiltonian lattice models. By a suitable rescaling of energy or time, such bounds can be constructed for interactions of arbitrarily long range. The bound quantifies the…

Statistical Mechanics · Physics 2014-05-30 David Métivier , Romain Bachelard , Michael Kastner

We report on the realization of a strongly interacting quantum degenerate gas of fermionic atoms in a three-dimensional optical lattice. We prepare a band-insulating state for a two-component Fermi gas with one atom per spin state per…

Other Condensed Matter · Physics 2007-05-23 Michael Köhl , Kenneth Günter , Thilo Stöferle , Henning Moritz , Tilman Esslinger

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…

We study strongly correlated ground states of dipolar fermions in a honeycomb optical lattice with spatial variations in hopping amplitudes. Similar to a strained graphene, such nonuniform hopping amplitudes produce valley-dependent…

Quantum Gases · Physics 2016-11-02 Hiroyuki Fujita , Yuya O. Nakagawa , Yuto Ashida , Shunsuke Furukawa

In materials science, wedge disclinations are defects caused by angular mismatches in the crystallographic lattice. To describe such disclinations, we introduce an atomistic model in planar domains. This model is given by a…

Analysis of PDEs · Mathematics 2020-05-28 Pierluigi Cesana , Patrick van Meurs

A repulsive Coulomb interaction between electrons in different orbitals in correlated materials can give rise to bound quasiparticle states. We study the non-hybridized two-orbital Hubbard model with intra (inter)-orbital interaction $U$…

Strongly Correlated Electrons · Physics 2018-04-04 Y. Nunez-Fernandez , G. Kotliar , K. Hallberg

The quest for universal signatures of topological phases is fundamentally important since these properties are robust to variations in system-specific details. Here we present general results for the response of quantum Hall states to…

Mesoscale and Nanoscale Physics · Physics 2016-12-30 Rudro R. Biswas , Dam T. Son

Ultracold atomic gases have revolutionized the study of non-equilibrium dynamics in quantum many-body systems. Many counterintuitive non-equilibrium effects have been observed, such as suppressed thermalization in a one-dimensional (1D)…

We present the theory of a pair of atoms in a one-dimensional optical lattice interacting via a narrow Feshbach resonance. Using a two-channel description of the resonance, we derive analytic results for the scattering states inside the…

Other Condensed Matter · Physics 2008-02-05 N. Nygaard , R. Piil , K. Molmer

We study a quantum mechanical system consisting of up to three identical dipoles confined to move along a helical shaped trap. The long-range interactions between particles confined to move in this one dimension leads to an interesting…

Quantum Physics · Physics 2016-08-17 J. K. Pedersen , D. V. Fedorov , A. S. Jensen , N. T. Zinner

Doublon-holon dynamics is investigated in a pumped one-dimensional Hubbard model with a staggered on?site Coulomb interaction at half-filling. When the system parameters are set to be in the Mott insulating regime the equilibrium sublattice…

Strongly Correlated Electrons · Physics 2024-05-09 Zhenyu Cheng , Ying Li , Hantao Lu , Xiang Hu , Zhongbing Huang , Gregory A. Fiete , Liang Du

A two-dimensional electron system interacting with an impurity and placed in crossed magnetic and electric fields is under investigation. Since it is assumed that an impurity center interacts as an attractive $\delta$-like potential a…

Quantum Physics · Physics 2015-06-26 Katarzyna Krajewska , Jerzy Z. Kaminski

Creation of entanglement is considered theoretically and numerically in an ensemble of spin chains with dipole-dipole interaction between the spins. The unwanted effect of the long-range dipole interaction is compensated by the optimal…

Quantum Physics · Physics 2009-11-13 D. I. Kamenev , G. P. Berman , V. I. Tsifrinovich

Ultracold gases in optical lattices are of great interest, because these systems bear a great potential for applications in quantum simulations and quantum information processing, in particular when using particles with a long-range…

Statistical Mechanics · Physics 2007-05-23 T. Volz , N. Syassen , D. M. Bauer , E. Hansis , S. Dürr , G. Rempe

Stable bound quantum states are ubiquitous in nature. Mostly, they result from the interaction of only pairs of particles, so called two-body interactions, even when large complex many-particle structures are formed. We show that…

Strongly Correlated Electrons · Physics 2022-09-15 Gary Schmiedinghoff , Leanna Müller , Umesh Kumar , Götz S. Uhrig , Benedikt Fauseweh

The regular structures obtained by optical lattice technology and their behaviour are analysed from the quantum information perspective. Initially, we demonstrate that a triangular optical lattice of two atomic species, bosonic or…

We characterize equilibrium properties and relaxation dynamics of a two-dimensional lattice containing, at each site, two particles connected by a double-well potential (dumbbell). Dumbbells are oriented in the orthogonal direction with…

Statistical Mechanics · Physics 2021-01-27 Quentin Novinger , Antonio Suma , Daniel Sigg , Giuseppe Gonnella , Vincenzo Carnevale

We propose a method for generating high-fidelity multipartite spin-entanglement of ultracold atoms in an optical lattice in a short operation time with a scalable manner, which is suitable for measurement-based quantum computation. To…

Quantum Physics · Physics 2014-04-23 Kensuke Inaba , Yuuki Tokunaga , Kiyoshi Tamaki , Kazuhiro Igeta , Makoto Yamashita

The physics of Feshbach resonance is analyzed using an analytic expression for the $s$-wave scattering phase-shift and the scattering length $a$ which we derive within a two-channel tight-binding model. Employing a unified treatment of…

Quantum Gases · Physics 2015-06-16 Y. Avishai , Y. B. Band , M. Trippenbach
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