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Quantum walks with ultracold atoms in optical lattices

Stuart van der Lee, David L. Feder

Bulletin of the American Physical SocietyMar 23, 20050 citations

Generalized Gradient Approximation for trapped ultracold atoms in optical lattices

James K. Freericks, Karlis Mikelsons, Hulikal Krishnamurthy

Bulletin of the American Physical SocietyJun 14, 20110 citations

Quantum phase transition using quantum walks in an optical lattice

C. M. Chandrashekar, Raymond Laflamme

We present an approach using quantum walks (QWs) to redistribute ultracold atoms in an optical lattice. Different density profiles of atoms can be obtained by exploiting the controllable properties of QWs, such as the variance and the probability distribution in position space using quantum coin parameters and engineered noise. The QW evolves the density profile of atoms in a superposition of position space, resulting in a quadratic speedup of the process of quantum phase transition. We also discuss implementation in presently available setups of ultracold atoms in optical lattices.We present an approach using quantum walks (QWs) to redistribute ultracold atoms in an optical lattice. Different density profiles of atoms can be obtained by exploiting the controllable properties of QWs, such as the variance and the probability distribution in position space using quantum coin parameters and engineered noise. The QW evolves the density profile of atoms in a superposition of position space, resulting in a quadratic speedup of the process of quantum phase transition. We also discuss implementation in presently available setups of ultracold atoms in optical lattices.

arXiv:0709.1986Physical Review AAug 11, 200855 citations

Ultracold atoms in optical lattices

Immanuel Bloch

Oxford University Press eBooksNov 15, 20120 citations

Exploring Quantum Matter with Ultracold Atoms in Optical Lattices

Immanuel Bloch, Markus Greiner

Advances in atomic, molecular, and optical physicsJan 1, 200554 citations

Spin Gradient Thermometry for Ultracold Atoms in Optical Lattices

David Weld, Patrick Medley, Hirokazu Miyake +3 more

We demonstrate spin gradient thermometry, a new general method of measuring the temperature of ultracold atoms in optical lattices. We realize a mixture of spins separated by a magnetic field gradient. Measurement of the width of the transition layer between the two spin domains serves as a new method of thermometry which is observed to work over a broad range of lattice depths and temperatures, including in the Mott insulator regime. We demonstrate the thermometry using ultracold rubidium atoms, and suggest that interesting spin physics can be realized in this system. The lowest measured temperature is 1 nK, indicating that the system has reached the quantum regime, where insulating shells are separated by superfluid layers.We demonstrate spin gradient thermometry, a new general method of measuring the temperature of ultracold atoms in optical lattices. We realize a mixture of spins separated by a magnetic field gradient. Measurement of the width of the transition layer between the two spin domains serves as a new method of thermometry which is observed to work over a broad range of lattice depths and temperatures, including in the Mott insulator regime. We demonstrate the thermometry using ultracold rubidium atoms, and suggest that interesting spin physics can be realized in this system. The lowest measured temperature is 1 nK, indicating that the system has reached the quantum regime, where insulating shells are separated by superfluid layers.

arXiv:0908.3046Physical Review LettersDec 7, 2009127 citations

Quantum walk of ultracold atoms in optical lattices with quadratic gradients

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