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Single atoms in dipole microtraps or optical tweezers have recently become a promising platform for quantum computing and simulation. Here we report a detailed theoretical analysis of the physics underlying an implementation of a Rydberg…

While dissipative Rydberg gases exhibit unique possibilities to tune dissipation and interaction properties, very little is known about the quantum many-body physics of such long-range interacting open quantum systems. We theoretically…

Quantum Gases · Physics 2023-05-03 Javad Kazemi , Hendrik Weimer

We propose a mechanism of ground-state blockade between two $N$-type Rydberg atoms in virtue of Rydberg-antiblockade effect and Raman transition. Inspired by the quantum Zeno effect, the strong Rydberg antiblockade interaction plays a role…

Quantum Physics · Physics 2017-12-07 X. Q. Shao , D. X. Li , Y. Q. Ji , J. H. Wu , X. X. Yi

A Hilbert manifold structure is described for the ADM phase space of asymptotically flat initial data $(g,\pi)$ with local $H^2\times H^1$ Sobolev regularity. Solutions of the constraint equations form a Hilbert submanifold. A regularized…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert Bartnik

We have designed and realized magnetic trapping geometries for ultracold atoms based on permanent magnetic films. Magnetic chip based experiments give a high level of control over trap barriers and geometric boundaries in a compact…

Atomic Physics · Physics 2019-02-13 A. L. La Rooij , H. B. van Linden van den Heuvell , R. J. C. Spreeuw

Engineering quantum phases with spontaneously broken symmetries is a major goal of research in different fields. Trapped ultracold Rydberg-excited atoms in optical lattices are a promising platform for realizing quantum phases with broken…

Quantum Gases · Physics 2022-03-31 Mathieu Barbier , Henrik Lütjeharms , Walter Hofstetter

The resonant dipole-dipole interaction between highly excited Rydberg levels dominates the interaction of neutral atoms at short distances scaling as $1/r^3$. Here we take advantage of the combined effects of strong dipole-dipole…

Quantum Physics · Physics 2020-12-30 Xiao-Qiang Shao

We propose to apply atom-chip techniques to the trapping of a single atom in a circular Rydberg state. The small size of microfabricated structures will allow for trap geometries with microwave cut-off frequencies high enough to inhibit the…

The fundamental axioms of the quantum theory do not explicitly identify the algebraic structure of the linear space for which orthogonal subspaces correspond to the propositions (equivalence classes of physical questions). The projective…

Quantum Physics · Physics 2009-10-30 L. P. Horwitz

Rydberg atoms in dc electric fields acquire static dipole moments. When the atoms are close to a surface producing an inhomogeneous electric field, such as by the adsorbates on an atom chip, depending on the sign of the dipole moment of the…

We present a first-principles method for deriving effective low-energy models of electrons in solids having entangled band structure. The procedure starts with dividing the Hilbert space into two subspaces, the low-energy part ("$d$…

Strongly Correlated Electrons · Physics 2010-10-20 Takashi Miyake , Ferdi Aryasetiawan , Masatoshi Imada

We show that if the space of physical states spanned by the wormhole wave functions can be equipped with a Hilbert structure, such a Hilbert space must coincide with that of the Lorentzian gravitational system under consideration. The…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Guillermo A. Mena Marugan

Atom chips are a promising candidate for a scalable architecture for quantum information processing provided a universal set of gates can be implemented with high fidelity. The difficult part in achieving universality is the entangling…

Rydberg atom quantum simulator platforms are novel quantum simulators for physical systems ranging from condensed matter to particle physics. In this paper, we study out-of-equilibrium quantum dynamics in a model of Rydberg atoms arranged…

Quantum Physics · Physics 2026-03-17 Mainak Pal , Tista Banerjee

The Rydberg blockade induces strongly correlated many-body effects in Rydberg atom arrays, including rich ground-state phases and many-body scar states in the excitation spectrum. In this letter, we propose a composite spin representation…

Quantum Gases · Physics 2022-10-04 Lei Pan , Hui Zhai

Certain lattices with specific geometries have one or more spectral bands that are strictly flat, i.e. the electron energy is independent of the momentum. This can occur robustly irrespective of the specific couplings between the lattices…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 Md Nurul Huda , Shawulienu Kezilebieke , Peter Liljeroth

We study steady-states of quantum Markovian processes whose evolution is described by local Lindbladians. We assume that the Lindbladian is gapped and satisfies quantum detailed balance with respect to a unique full-rank steady state…

Quantum Physics · Physics 2024-05-17 Raz Firanko , Moshe Goldstein , Itai Arad

Experimentally observed quantum few-body dynamics of neutral atoms excited to a Rydberg state are numerically analyzed with Lindblad master equation formalism. For this, up to five rubidium atoms are trapped with optical tweezers, arranged…

Atomic Physics · Physics 2019-04-17 Woojun Lee , Minhyuk Kim , Hanlae Jo , Yunheung Song , Jaewook Ahn

The Hilbert function of standard graded algebras are well understood by Macaulay's theorem and very little is known in the local case, even if we assume that the local ring is a complete intersection. An extension to the power series ring…

Commutative Algebra · Mathematics 2012-05-25 J. Elias , M. E. Rossi , G. Valla

Rydberg-atom quantum simulators are of keen interest because of their possibilities towards high-dimensional qubit architectures. Here we report three-dimensional conformation spectra of quantum-Ising Hamiltonian systems with programmed…

Quantum Physics · Physics 2021-01-04 Minhyuk Kim , Yunheung Song , Jaewan Kim , Jaewook Ahn