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We present a general procedure for constructing lattices of qubits with a Hamiltonian composed of nearest-neighbour two-body interactions such that the ground state encodes a cluster state. We give specific details for lattices in one-,…

Quantum Physics · Physics 2009-01-06 Tom Griffin , Stephen D. Bartlett

We investigate static properties of laser-driven, ultracold Rydberg atoms confined to one- and two-dimensional uniform lattices in the limit of vanishing laser coupling. The spectral structure of square lattices is compared to those of…

Atomic Physics · Physics 2012-06-04 Wolfgang Zeller , Michael Mayle , Thorsten Bonato , Gerhard Reinelt , Peter Schmelcher

In this work we estimate the collisional loss rate of ultracold bosons in the optical potential featuring subwavelength-width peaks. This is established by using $\Lambda$ arrangement of three atomic states coupled (almost) resonantly by…

Quantum Gases · Physics 2025-02-18 Piotr Kubala , Mateusz Łącki

We discuss the possibility of preparing highly entangled states by simply cooling atoms into the ground state of an applied interaction Hamiltonian. As in laser sideband cooling, we take advantage of a relatively large detuning of the…

Quantum Physics · Physics 2015-05-13 Giovanni Vacanti , Almut Beige

The entropy-temperature curves are calculated for non-interacting fermions in a 3D optical lattice. These curves facilitate understanding of how adiabatic changes in the lattice depth affect the temperature, and we demonstrate regimes where…

Other Condensed Matter · Physics 2007-05-23 P. B. Blakie , A. Bezett

Quantum computers attract much attention as they promise to outperform their classical counterparts in solving certain type of problems. One of them with practical applications in quantum chemistry is simulation of complex quantum systems.…

Quantum Physics · Physics 2014-07-08 Libor Veis , Jiří Pittner

We consider an adiabatic population transfer process that resembles the well established stimulated Raman adiabatic passage (STIRAP). In our system, the states have nonzero angular momentums $J$, therefore, the coupling laser fields induce…

Quantum Physics · Physics 2009-11-10 A. Karpati , Z Kis

We provide an analytical description of the dynamics of an atom in an optical lattice using the method of perturbative adiabatic expansion. A precise understanding of the lattice-atom interaction is essential to taking full advantage of the…

Atomic Physics · Physics 2015-05-14 Tim Kovachy , Jason M. Hogan , David M. S. Johnson , Mark A. Kasevich

We address the inverse problem of designing isotropic pairwise particle interaction potentials that lead to the formation of a desired lattice when a system of particles is cooled. The design problem is motivated by the desire to produce…

Adaptation and Self-Organizing Systems · Physics 2009-05-13 Philip du Toit , Katalin Grubits , Jerrold Marsden , Sorin Costiner

We discuss how an $\eta$-condensate, corresponding to an exact excited eigenstate of the Fermi-Hubbard model, can be produced with cold atoms in an optical lattice. Using time-dependent density matrix renormalisation group methods, we…

Quantum Gases · Physics 2012-09-12 A. Kantian A. J. Daley P. Zoller

We demonstrate that it is possible to prepare a lattice gas of ultracold atoms with a desired non-classical spin-correlation function using atom-light interaction of the kind routinely employed in quantum spin polarization spectroscopy. Our…

Quantum Physics · Physics 2013-03-15 P. Hauke , R. J. Sewell , M. W. Mitchell , M. Lewenstein

Evaluation of internal energy and the inter-atomic or ionic interactions in a crystal lattice usually requires precise calculation of lattice sums. This in the case of small nano-particles (as space-limited domains) presents several…

Mesoscale and Nanoscale Physics · Physics 2014-02-25 Yevgen Bilotsky

Despite its simplicity and strong theoretical guarantees, adiabatic state preparation has received considerably less interest than variational approaches for the preparation of low-energy electronic structure states. Two major reasons for…

Quantum Physics · Physics 2025-02-19 Etienne Granet , Khaldoon Ghanem , Henrik Dreyer

Physical foundations of adiabatic and nonadiabatic electronics of materials are considered in this article. It is shown the limitation of adiabatic approach to electronics of materials. It is shown that nonadiabatic physical properties of…

Materials Science · Physics 2007-05-23 V. A. Vdovenkov

The paradigm of electrons interacting with a periodic lattice potential is central to solid-state physics. Semiconductor heterostructures and ultracold neutral atomic lattices capture many of the essential properties of 1D electronic…

Local Convertibility refers to the possibility of transforming a given state into a target one, just by means of LOCC with respect to a given bipartition of the system and it is possible if and only if all the Renyi-entropies of the initial…

Strongly Correlated Electrons · Physics 2022-08-15 Luigi Amico , Vladimir Korepin , Alioscia Hamma , Salvatore Marco Giampaolo , Fabio Franchini

We consider a family of tensor network states defined on regular lattices that come with a natural definition of an adiabatic path to prepare them. This family comprises relevant classes of states, such as injective Matrix Product and…

Quantum Physics · Physics 2022-06-23 Esther Cruz , Flavio Baccari , Jordi Tura , Norbert Schuch , J. Ignacio Cirac

In this article, for the first time in the context of TOP trap, the necessary and sufficient conditions for the adiabatic evolution of weak field seeking states have been quantitatively examined. It has been well accepted since decades that…

Quantum Physics · Physics 2017-11-10 Nirupam Dutta , Anirban Dey , Prasanta K. Panigrahi

We theoretically study dynamic scalar polarizabilities of the ground and select long-lived excited states of dysprosium, a highly magnetic atom recently laser cooled and trapped. We demonstrate that there are a set of magic wavelengths of…

Atomic Physics · Physics 2015-05-20 V. A. Dzuba , V. V. Flambaum , Benjamin L. Lev

We describe tunable optical sawtooth and zigzag lattices for ultracold atoms. Making use of the superlattice generated by commensurate wavelengths of light beams, tunable geometries including zigzag and sawtooth configurations can be…

Quantum Gases · Physics 2016-01-29 Ting Zhang , Gyu-Boong Jo