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We investigate the dynamics of two bosons trapped in an infinite one-dimensional optical lattice potential within the framework of the Bose-Hubbard model and derive an exact expression for the wavefunction at finite time. As initial…

We present a simple experimental scheme, based on standard atom optics techniques, to design highly versatile model systems for the study of single particle quantum transport phenomena. The scheme is based on a discrete set of free-particle…

Quantum Gases · Physics 2016-01-25 Bryce Gadway

We propose a method for arbitrary manipulations of a quantum wavepacket in an optical lattice by a suitable modulation of the lattice amplitude. A theoretical model allows to determine the modulation corresponding to a given wavepacket…

Quantum Physics · Physics 2011-10-10 Quentin Thommen , Jean Claude Garreau , Véronique Zehnlé

We study the application of a generalized form of the level set method used in classical physical contexts to quantum optimal control situations. The set of OCT equations needed to keep the expectation value of an observable constant is…

Quantum Physics · Physics 2007-05-23 Fariel Shafee

Symmetry properties of the evolution equation and the state to be controlled are shown to determine the basic features of the linear control of unstable orbits. In particular, the selection of control parameters and their minimal number are…

chao-dyn · Physics 2009-10-30 R. O. Grigoriev , M. C. Cross

Entanglement lies at the heart of quantum mechanics and in recent years has been identified as an essential resource for quantum information processing and computation. Creating highly entangled multi-particle states is therefore one of the…

Quantum Physics · Physics 2009-11-10 Olaf Mandel , Markus Greiner , Artur Widera , Tim Rom , Theodor W. Haensch , Immanuel Bloch

We study the process of squeezing of an ensemble of cold atoms in a pulsed optical lattice. The problem is treated both classically and quantum-mechanically under various thermal conditions. We show that a dramatic compression of the atomic…

Quantum Physics · Physics 2009-11-07 M. Leibscher , I. Sh. Averbukh

Quantum state control is a fundamental tool for quantum technologies. In this work, we propose and analyze the use of quantum optimal control to exploit the dipolar interaction of ultracold atoms on a lattice ring, focusing on the…

We report an experimental method to create optical lattices with real-time control of their periodicity. We demonstrate a continuous change of the lattice periodicity from 0.96 $\mu$m to 11.2 $\mu$m in one second, while the center fringe…

Quantum Physics · Physics 2008-04-04 T. C. Li , H. Kelkar , D. Medellin , M. G. Raizen

We study a generalized cold atom Bose Hubbard model, where the periodic optical potential is formed by a cavity field with quantum properties. On the one hand the common coupling of all atoms to the same mode introduces cavity mediated long…

Quantum Physics · Physics 2009-11-11 Christoph Maschler , Helmut Ritsch

We study a means of creating multiparticle entanglement of neutral atoms using pairwise controlled dipole-dipole interactions in a three dimensional optical lattice. For tightly trapped atoms the dipolar interaction energy can be much…

Quantum Physics · Physics 2009-10-31 G. K. Brennen , I. H. Deutsch , P. S. Jessen

Controlling the translational motion of cold atoms using optical lattice potentials is of both theoretical and experimental interest. By designing two on-resonance time sequences of kicking optical lattice potentials, a novel connection…

Quantum Physics · Physics 2015-05-13 Jiao Wang , Anders S. Mouritzen , Jiangbin Gong

For ultracold and Bose-condensed atoms contained in periodic optical potential wells the quantized nature of their motion is clearly visible. The motion of the atomic wavepacket can also be accurately controlled. For those systems the…

Condensed Matter · Physics 2007-05-23 O. Morsch , E. Arimondo

We describe how to control the temporal shape of adiabaton using peculiarities of propagation dynamics under coherent population trapping. Temporal compression is demonstrated as a special case of pulse shaping. The general case of unequal…

Quantum Physics · Physics 2009-11-11 V. G. Arkhipkin , I. V. Timofeev

We propose a method for separating trapped atoms in optical lattices by large distances. The key idea is the cyclic transfer of atoms between two lattices of variable spacing, known as accordion lattices, each covering at least a factor of…

Quantum Gases · Physics 2023-04-19 Simon Wili , Tilman Esslinger , Konrad Viebahn

An abstract formulation of quantum dynamics in the presence of a general set of quantum constraints is developed. Our constructive procedure is such that the relevant projection operator onto the physical Hilbert space is obtained with a…

High Energy Physics - Theory · Physics 2009-10-31 John R. Klauder

We show that an ensemble of polar molecules trapped in an optical lattice can be considered as a controllable open quantum system. The coupling between collective rotational excitations and the motion of the molecules in the lattice…

Atomic Physics · Physics 2011-11-10 Felipe Herrera , Roman V. Krems

A new formalism for the optimal control of quantum mechanical physical observables is presented. This approach is based on an analogous classical control technique reported previously[J. Botina, H. Rabitz and N. Rahman, J. chem. Phys. Vol.…

Chemical Physics · Physics 2009-10-30 Jair Botina , Herschel Rabitz , Naseem Rahman

In this work we study the interaction of trapped ions with a state-dependent, high-intensity optical lattice formed above an ion trap chip using integrated photonics. We use a single ion to map the optical potential landscape over many…

Atomic Physics · Physics 2024-11-06 Alfredo Ricci Vasquez , Carmelo Mordini , Daniel Kienzler , Jonathan Home

We report on collective non-linear dynamics in an optical lattice formed inside a high finesse ring cavity in a so far unexplored regime, where the light shift per photon times the number of trapped atoms exceeds the cavity resonance…

Quantum Physics · Physics 2009-11-10 B. Nagorny , Th. Elsaesser , A. Hemmerich