Quantum walks and quantum simulations with Bloch oscillating spinor atoms
arXiv:1010.2514 · doi:10.1103/PhysRevA.82.033602
Abstract
We propose a scheme for the realization of a quantum walker and a quantum simulator for the Dirac equation with ultracold spinor atoms in driven optical lattices. A precise control of the dynamics of the atomic matter wave can be realized using time-dependent external forces. If the force depends on the spin state of the atoms, the dynamics will entangle the inner and outer degrees of freedom which offers unique opportunities for quantum information and quantum simulation. Here, we introduce a method to realize a quantum walker based on the state-dependent transport of spinor atoms and a coherent driving of the internal state. In the limit of weak driving the dynamics is equivalent to that of a Dirac particle in 1+1 dimensions. Thus it becomes possible to simulate relativistic effects such as Zitterbewegung and Klein tunneling.
published version, 7 figures
References in corpus (25)
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Many-Body Physics with Ultracold Gases
- Chiral tunneling and the Klein paradox in graphene
- Quantum simulation of the Dirac equation
- Sonic analog of gravitational black holes in Bose-Einstein condensates
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Photons Walking the Line: A quantum walk with adjustable coin operations
- Realization of a quantum walk with one and two trapped ions
- Quantum walk of a trapped ion in phase space
- Coherent control of dressed matter waves
- Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
- Simulation and detection of Dirac fermions with cold atoms in an optical lattice
- Control of Interaction-Induced Dephasing of Bloch Oscillations
- Observation of photon-assisted tunneling in optical lattices
- Coherent manipulation of Bose-Einstein condensates with state-dependent microwave potentials on an atom chip
- Inducing Transport in a Dissipation-Free Lattice with Super Bloch Oscillations
- Sodium Bose-Einstein Condensates in the F=2 State in a Large-volume Optical Trap
- Spin gradient thermometry for ultracold atoms in optical lattices
- Bloch-Zener oscillations
- Relativistic quantum walks
- Microwave Control of Atomic Motion in Optical Lattices
- Manipulation of matter waves using Bloch and Bloch-Zener oscillations
- Confining stationary light: Dirac dynamics and Klein tunneling
- Coherent control of atomic transport in spinor optical lattices
- Quantum transport and localization in biased periodic structures under bi- and polychromatic driving
Cited by in corpus (27)
- Quantum Simulation
- Quantum walks: a comprehensive review
- Quantum Walk in Momentum Space with a Bose-Einstein Condensate
- Quantum Walks in artificial electric and gravitational Fields
- Disordered Quantum Walks in one lattice dimension
- Measuring Topological Invariants in Disordered Discrete Time Quantum Walks
- Bloch Oscillations in Optical and Zeeman Lattices in the Presence of Spin-Orbit Coupling
- Relativistic quantum effects of Dirac particles simulated by ultracold atoms
- Quantum walks and non-Abelian discrete gauge theory
- On the effective Dirac dynamics of ultracold atoms in bichromatic optical lattices
- A quantum random walk of a Bose-Einstein condensate in momentum space
- Quantum walk as a simulator of nonlinear dynamics: Nonlinear Dirac equation and solitons
- Resonantly Enhanced Tunneling and Transport of Ultracold Atoms on Tilted Optical Lattices
- Experimental realization of a momentum-space quantum walk
- Photonic quantum walks with four-dimensional coins
- Quantum walks in weak electric fields and Bloch oscillations
- Topological pumping assisted by Bloch oscillations
- Bound States in the Continuum in Spin-Orbit Coupled Atomic Systems
- Bloch-Landau-Zener dynamics in single-particle Wannier-Zeeman systems
- Dynamic localization in optical and Zeeman lattices in the presence of spin-orbit coupling
- Interaction-induced decoherence in non-Hermitian quantum walks of ultracold Bosons
- Manipulating matter waves in an optical superlattice
- Periodic jumps in binary lattices with a static force
- Discrete time quantum walk of locally interacting walkers
- Directional quantum random walk induced by coherence
- Optimizing topology for quantum probing with discrete-time quantum walks
- Lissajous dynamics of a quantum particle in a tilted two-dimensional discrete lattice