Numerical Analysis of Coherent Many-Body Currents in a Single Atom Transistor

Abstract

We study the dynamics of many atoms in the recently proposed Single Atom Transistor setup [A. Micheli, A. J. Daley, D. Jaksch, and P. Zoller, Phys. Rev. Lett. 93, 140408 (2004)] using recently developed numerical methods. In this setup, a localised spin 1/2 impurity is used to switch the transport of atoms in a 1D optical lattice: in one state the impurity is transparent to probe atoms, but in the other acts as a single atom mirror. We calculate time-dependent currents for bosons passing the impurity atom, and find interesting many body effects. These include substantially different transport properties for bosons in the strongly interacting (Tonks) regime when compared with fermions, and an unexpected decrease in the current when weakly interacting probe atoms are initially accelerated to a non-zero mean momentum. We also provide more insight into the application of our numerical methods to this system, and discuss open questions about the currents approached by the system on long timescales.

10 pages, 14 figures

References in corpus (24)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• The density-matrix renormalization group
• Efficient classical simulation of slightly entangled quantum computations
• Efficient simulation of one-dimensional quantum many-body systems
• Real time evolution using the density matrix renormalization group
• Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Transition from a strongly interacting 1D superfluid to a Mott insulator
• The cold atom Hubbard toolbox
• Fermionic atoms in a 3D optical lattice: Observing Fermi-surfaces, dynamics and interactions
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• Atom--Molecule Coherence in a Bose-Einstein Condensate
• Tuning the scattering length with an optically induced Feshbach resonance
• Coherent transport of neutral atoms in spin-dependent optical lattice potentials
• Real-time dynamics in spin-1/2 chains with adaptive time-dependent DMRG
• Resonant control of elastic collisions in an optically trapped Fermi gas of atoms
• Strongly inhibited transport of a 1D Bose gas in a lattice
• Time-dependent density-matrix renormalization group: A systematic method for the study of quantum many-body systems out-of-equilibrium
• Self-consistent model of ultracold atomic collisions and Feshbach resonances in tight harmonic traps
• A Single Atom Transistor in a 1D Optical Lattice
• Efficient generation of graph states for quantum computation
• Dynamics of the superfluid to Mott insulator transition in one dimension
• One-dimensional density waves of ultracold bosons in an optical lattice

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