Analysis of non-Markovian coupling of a lattice-trapped atom to free space
arXiv:1709.01470 · doi:10.1103/PhysRevA.95.013626
Abstract
Behavior analogous to that of spontaneous emission in photonic band gap materials has been predicted for an atom-optical system consisting of an atom confined in a well of a state-dependent optical lattice that is coupled to free space through an internal-state transition [de Vega et al., Phys. Rev. Lett. 101, 260404 (2008)]. Using the Weisskopf-Wigner approach and considering a one-dimensional geometry, we analyze the properties of this system in detail, including the evolution of the lattice-trapped population, the momentum distribution of emitted matter waves, and the detailed structure of an evanescent matter-wave state below the continuum boundary. We compare and contrast our findings for the transition from Markovian to non-Markovian behaviors to those previously obtained for three dimensions.
arXiv comment10 pages, 4 figures
References in corpus (11)
- Entanglement of atoms via cold controlled collisions
- Superradiance for atoms trapped along a photonic crystal waveguide
- Quantum-state control in optical lattices
- Atomic quantum dots coupled to BEC reservoirs
- Atom-field dressed states in slow-light waveguide QED
- Superfluidity of Interacting Bosonic Mixtures in Optical Lattices
- Bound states in boson impurity models
- Glassy behavior in a binary atomic mixture
- Matter--wave emission in optical lattices: Single particle and collective effects
- Simulating quantum-optical phenomena with cold atoms in optical lattices
- Nonadiabatic Diffraction of Matter Waves
Cited by in corpus (12)
- Spontaneous Emission in a Matter-Wave Open Quantum System
- Non-Markovian Quantum Optics with Three-Dimensional State-Dependent Optical Lattices
- Dynamics of Matter-Wave Quantum Emitters in a Structured Vacuum
- Formation of Matter-Wave Polaritons in an Optical Lattice
- Thermalization in the Quantum Ising Model - Approximations, Limits, and Beyond
- Multiband and array effects in matter-wave-based waveguide QED
- Coupling function from bath density of states
- Fermionic matter-wave quantum optics with cold-atom impurity models
- Super- and subradiant dynamics of quantum emitters mediated by atomic matter waves
- Long-Range Quantum Tunneling via Matter Wave
- Non-exponential decay in Floquet-Bloch bands
- Two-particle States in One-dimensional Coupled Bose-Hubbard Models