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arXiv:cond-mat/0612261 · Journal of Physics A Mathematical and Theoretical

Controllable diffusion of cold atoms in a harmonically driven and tilted optical lattice: decoherence by spontaneous emission

Navinder Singh

Published May 27, 2008• 3 citations
arXivHTMLPDF

Abstract

We have studied some transport properties of cold atoms in an accelerated optical lattice in the presence of decohering effects due to spontaneous emission. One new feature added is the effect of an external AC drive. As a result we obtain a tunable diffusion coefficient and it's nonlinear enhancement with increasing drive amplitude. We report an interesting maximum diffusion condition.

DOI
10.1088/1751-8113/41/25/255001

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We have studied some transport properties of cold atoms in an accelerated optical lattice in the presence of decohering effects due to spontaneous emission. One new feature added is the effect of an external AC drive. As a result we obtain a tunable diffusion coefficient and it's nonlinear enhancement with increasing drive amplitude. We report an interesting maximum diffusion condition.
The dynamics of cold Bose atoms in driven tilted optical lattices is analyzed focusing on destruction of Wannier-Stark localization and the phenomenon of band collapse. It is argued that an understanding of the experimental results requires thorough account for interaction effects. These are suppression of the ballistic spreading of atoms for resonant driving (a multiple of the driving frequency coincides with the Bloch frequency) and unbounded sub-diffusive spreading of atoms for off-resonant driving.
In this manuscript I present an experimental investigation of the dynamics of an ultracold gas of bosonic ytterbium loaded into optical lattices and exposed to resonant light. The interaction between atoms and light makes it possible to study the coherence properties of the gas. The resonant driving is performed on the relevant optical transitions featured by ytterbium. On the one hand, I demonstrate the coherent driving of the internal state of the atoms on the clock transition, the excited state of which is metastable and can not spontaneously decay, thus preserving the coherence of the gas. The temporal internal dynamics in a deep lattice allows me to measure the collisional properties at low temperature for both clock states. On the other hand, I use the spontaneously emitted photons of the intercombination transition excited level to induce a coupling to the atomic external degrees of freedom. I present the momentum diffusion of a superfluid excited on this transition. Strong interactions between atoms slow down the decoherence and lead to an anomalous sub-diffusive relaxation. A simple model comprising atomic motion, interactions and dissipation accounts for our observations. A theoretical study of the dissipative dynamics in optical lattices sheds light on complementary phenomena such as induced dipole-dipole interactions or collective effects in spontaneous emission.
Abstract We investigated the transport properties of cold atoms in a one-dimensional optical lattice under distance selective dissipation and external driving. We analyze how tunneling, on-site interaction, dissipation and external driving affect the transport of cold atoms. We used mean-field theory and the classical phase space method to explain the dynamics of the system. In order to analyze the transport effect of cold atoms, we calculate the relative density of atoms on each site and the standard deviation of relative density. The manipulation transport of cold atoms can be achieved through a step function like interaction in theory. In particular, we study the transport of cold atoms in the double-well with external driving. The steady states of the system are analytically derived.
The correlated atoms in a tilted optical lattice driven by an ac field are studied within the Hubbard model. By making use of both photon-assisted tunneling and coherent destructive tunneling effects, we can move a pair of strongly correlated atoms in the lattice via manipulating the global amplitude of the driving field. We propose a scheme for creating entanglement between the particle pair and a single particle through interacting oscillations. Our model may provide a new building block for investigating quantum computing and quantum information processing with ultracold atoms in optical lattices.
Abstract We numerically investigate the quantum effects of cold atoms in a one-dimensional driven optical lattice in the presence of distance-selective dissipation and external driving. The combination of distance-selective dissipation, external driving, on-site interaction and tunneling dominates the system dynamics. The mean-field theory is used to approximate the system. In order to analyze the system dynamics, we calculate the relative density of atoms on each site and the standard deviation of relative density. Furthermore, the influence laws of environmental factors on the system dynamics are found out by the numerical simulation. Especially, we study the dissipative dynamics of the system under a time varying external driving. The results of the study are effectively applied to manipulate the distribution of cold atoms in an optical lattice and drive the system to the desired quantum state.