Jaynes-Cummings dynamics with a matter wave oscillator
arXiv:cond-mat/0211542 · doi:10.1103/PhysRevLett.90.110403
Abstract
We propose to subject two Bose-Einstein condensates to a periodic potential, so that one condensate undergoes the Mott insulator transition to a state with precisely one atom per lattice site. We show that photoassociation of heteronuclear molecules within each lattice site is described by the quantum optical Jaynes-Cummings Hamiltonian. In analogy with studies of this Hamiltonian with cavity fields and trapped ions, we are thus able to engineer quantum optical states of atomic matter wave fields and we are able to reconstruct these states by quantum state tomography.
4 pages, 2 figures
References in corpus (13)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
- Many-particle entanglement with Bose--Einstein condensates
- Atom--Molecule Coherence in a Bose-Einstein Condensate
- Bose-Einstein Condensation in a Surface Micro Trap
- Propagation of Bose-Einstein condensates in a magnetic waveguide
- Creation of a molecular condensate by dynamically melting a Mott-insulator
- Photoassociation of sodium in a Bose-Einstein condensate
- Bose-Stimulated Raman Adiabatic Passage in Photoassociation
- Ramsey fringes in a Bose-Einstein condensate between atoms and molecules
- Measuring the Quantum State of a Large Angular Momentum
- Rate limit for photoassociation of a Bose-Einstein condensate
Cited by in corpus (12)
- Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
- Matter--wave emission in optical lattices: Single particle and collective effects
- Exactly-solvable models for atom-molecule hamiltonians
- Entangled quantum tunneling of two-component Bose-Einstein condensates
- Spin-orbit coupled Bose-Einstein condensates in a double well
- Molecule Formation in Optical Lattice Wells by Resonantly Modulated Magnetic Fields
- A Molecular Micromaser
- Dissociation dynamics of resonantly coupled bose-fermi mixtures in an optical lattice
- Quantum tomography of molecules using ultrafast electron diffraction
- Quantum dynamics of a binary mixture of BECs in a double well potential: an Holstein-Primakoff approach
- Phase Coherence in a Driven Double-Well System
- Atomic and molecular matter fields in periodic potentials