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We propose to subject two Bose-Einstein condensates to a periodic potential, so that one condensate undergoes the Mott insulator transition to a state with precisely one atom per lattice site. We show that photoassociation of heteronuclear…

Soft Condensed Matter · Physics 2009-11-07 Klaus Molmer

We consider atomic mixtures of bosons and two-component fermions in an optical lattice potential. We show that if the bosons are in a Mott-insulator state with precisely one atom per lattice, the photoassociation of bosonic and fermionic…

Other Condensed Matter · Physics 2009-11-11 Takahiko Miyakawa , Pierre Meystre

We create molecules from fermionic atoms in a three-dimensional optical lattice using a Feshbach resonance. In the limit of low tunnelling, the individual wells can be regarded as independent three-dimensional harmonic oscillators. The…

Strongly Correlated Electrons · Physics 2007-05-23 Thilo Stöferle , Henning Moritz , Kenneth Günter , Michael Köhl , Tilman Esslinger

We study a model of one-dimensional fermionic atoms that can bind in pairs to form bosonic molecules. We show that at low energy, a coherence develops between the molecule and fermion Luttinger liquids. At the same time, a gap opens in the…

Other Condensed Matter · Physics 2007-05-23 R. Citro , E. Orignac

We derive effective lattice models for ultracold bosonic or fermionic nonreactive molecules (NRMs) in an optical lattice, analogous to the Hubbard model that describes ultracold atoms in a lattice. In stark contrast to the Hubbard model,…

Quantum Gases · Physics 2016-04-06 Andris Doçaj , Michael L. Wall , Rick Mukherjee , Kaden R. A. Hazzard

We derive the Hamiltonian for cold fermionic atoms in an optical lattice across a broad Feshbach resonance, taking into account of both multiband occupations and neighboring-site collisions. Under typical configurations, the resulting…

Other Condensed Matter · Physics 2009-11-11 L. -M. Duan

In this letter we introduce a novel approach to Hamiltonian tomography of non-interacting tight-binding photonic lattices. To begin with, we prove that the matrix element of the low-energy effective Hamiltonian between sites $i$ and $j$ may…

Quantum Gases · Physics 2017-07-05 Ruichao Ma , Clai Owens , Aman LaChapelle , David I. Schuster , Jonathan Simon

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

We consider the photodissociation of ground-state bosonic molecules trapped in an optical lattice potential into two-component fermionic atoms. The system is assumed to be described by a one-band resonantly-coupled Bose-Fermi Hubbard model.…

Other Condensed Matter · Physics 2009-11-11 Takahiko Miyakawa , Pierre Meystre

We devise a microscopic model for the emergence of a collision-induced, fermionic atomic current across a tilted optical lattice. Tuning the - experimentally controllable - parameters of the microscopic dynamics allows to switch from Ohmic…

Other Condensed Matter · Physics 2016-08-31 Alexey V. Ponomarev , Javier Madronero , Andrey R. Kolovsky , Andreas Buchleitner

We study the internal dynamics of bosonic atoms in an optical lattice. Within the regime in which the atomic crystal is a Mott insulator with one atom per well, the atoms behave as localized spins which interact according to some spin…

Other Condensed Matter · Physics 2007-05-23 J. J. Garcia-Ripoll , J. I. Cirac

We study the dynamics of bosonic and fermionic anyons defined on a one-dimensional lattice, under the effect of Hamiltonians quadratic in creation and annihilation operators, commonly referred to as linear optics. These anyonic models are…

Quantum Physics · Physics 2020-12-25 Allan D. C. Tosta , Ernesto F. Galvão , Daniel J. Brod

We propose to use sub-wavelength confinement of light associated with the near field of plasmonic systems to create nanoscale optical lattices for ultracold atoms. Our approach combines the unique coherence properties of isolated atoms with…

Atomic Physics · Physics 2014-07-29 M. Gullans , T. Tiecke , D. E. Chang , J. Feist , J. D. Thompson , J. I. Cirac , P. Zoller , M. D. Lukin

A classical realization of the Jaynes-Cummings (JC) model, describing the interaction of a two-level atom with a quantized cavity mode, is proposed based on light transport in engineered waveguide superlattices. The optical setting enables…

Quantum Physics · Physics 2015-06-03 Stefano Longhi

The aim of this work is to show how supersymmetric (SUSY) quantum mechanics can be applied to the Jaynes-Cummings (JC) Hamiltonian of quantum optics. These SUSY transformations connect pairs of Jaynes-Cummings Hamiltonians characterized by…

Mathematical Physics · Physics 2025-08-14 İsmail Burak Ateş , Şengül Kuru , Javier Negro

The collective response of a system is profoundly shaped by the interaction dynamics between its constituent elements. In physics, tailoring these interactions can enable the observation of unusual phenomena that are otherwise inaccessible…

We demonstrate fluorescence microscopy of individual fermionic potassium atoms in a 527-nm-period optical lattice. Using electromagnetically induced transparency (EIT) cooling on the 770.1-nm D$_1$ transition of $^{40}$K, we find that atoms…

Quantum Gases · Physics 2015-12-15 G. J. A. Edge , R. Anderson , D. Jervis , D. C. McKay , R. Day , S. Trotzky , J. H. Thywissen

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

A mixture of spin-1/2 fermionic atoms and molecules of paired fermionic atoms is studied in an optical lattice. The molecules are formed by an attractive nearest-neighbor interaction. A functional integral is constructed for this many-body…

Other Condensed Matter · Physics 2017-08-23 O. Fialko , K. Ziegler

We provide a detailed analysis of our previously proposed scheme [Phys. Rev. Lett. 88, 180401, (2002)] to engineer the profile of the hopping amplitudes for atomic gases in a 1D optical lattice so that the particle number becomes…

Other Condensed Matter · Physics 2008-11-26 J. Ruostekoski , J. Javanainen , G. V. Dunne
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