Cold spinor atoms in optical lattice introduction Mirosaw
- Slides: 54
Cold spinor atoms in optical lattice (introduction) Mirosław Brewczyk Mariusz Gajda Katarzyna Maciaszek Joanna Pietraszewicz Tomasz Sowiński Tomasz Świsłocki October 20, 2010
Optical lattice
Optical lattice Contact interactions
Contact interactions
Contact interactions
Contact interactions spatial angular momentum and total spin of interacting atoms are conserved independently
Contact interactions spatial angular momentum and total spin of interacting atoms are conserved independently
Contact interactions spatial angular momentum and total spin of interacting atoms are conserved independently
Contact interactions spatial angular momentum and total spin of interacting atoms are conserved independently
Contact interactions spatial angular momentum and total spin of interacting atoms are conserved independently
Contact interactions spatial angular momentum and total spin of interacting atoms are conserved independently
Contact interactions spatial angular momentum and total spin of interacting atoms are conserved independently
Contact interactions spatial angular momentum and total spin of interacting atoms are conserved independently
Dipolar interactions Contact interactions spatial angular momentum and total spin of interacting atoms are conserved independently
Dipolar interactions spatial angular momentum is not conserved total spin is not conserved total angular momentum IS CONSERVED
Hamiltonian Dipolar interactions of the system spatial angular momentum is not conserved total spin is not conserved total angular momentum IS CONSERVED
Hamiltonian of the system laser wavelength recoil energy magnetic field unit
Hamiltonian of the system laser wavelength recoil energy magnetic field unit
Hamiltonian of the system Rubidium spin-1 atoms: Experimental realization:
Dipolar interactions Hamiltonian of the system Rubidium spin-1 atoms: Experimental realization:
Dipolar interactions • Field operator (2 f+1 components) • Ladder spin-f operators
Dipolar interactions • Field operator (2 f+1 components) • Ladder spin-f operators
Dipolar interactions
Three scenarios Dipolar interactions for mf=±f
Three scenarios for mf=±f 1. Spin of both atoms remains unchanged just another contribution to the contact interaction
Three scenarios for mf=±f 1. Spin of both atoms remains unchanged just another contribution to the contact interaction
Three scenarios for mf=±f 2. One of atoms changes spin by ONE quanta since conservation of total angular momentum holds a spatial part of the wave function changes (excitation in z direction is also needed)
Three scenarios for mf=±f 2. One of atoms changes spin by ONE quanta since conservation of total angular momentum holds a spatial part of the wave function changes (excitation in z direction is also needed)
Three scenarios for mf=±f 3. Both atoms change their spins by ONE quanta since conservation of total angular momentum holds both atoms have to reach state with angular momentum (excitation in z direction is possible but not necessary)
Dynamics in periodic potential Mathieu functions Wannier functions
Wannier Dynamicsfunctions in periodic potential Mathieu functions Wannier functions
Wannier functions
Wannier functions
Wannier functions
Wannier functions
Wannier functions
MODEL as simple as possible, but not simpler
Model as simple as possible. . . Atoms are in the spatial ground state
Lowestaspossible transitions Model simple as possible. . . Atoms are in the spatial ground state
Lowest possible transitions 1. State with „angular momentum” (without z excitation)
Lowest possible transitions 1. State with „angular momentum” (without z excitation)
Lowest possible transitions 2. State with „angular momentum” (with z excitation)
Lowest possible transitions 2. State with „angular momentum” (with z excitation)
Two atoms in lattice site initial state: one atom transfer: (z excitation needed) one atom transfer: (without z excitation) one atom transfer: (with z excitation)
Two Origin atoms of dipolar in lattice resonances site initial state: one atom transfer: (z excitation needed) one atom transfer: (without z excitation) one atom transfer: (with z excitation)
Origin of dipolar resonances
Origin of dipolar resonances
Origin of dipolar resonances RESONANT MAGNETIC FIELD
Dipolar transfer
Dipolar transfer
Dipolar transfer
Dipolar transfer
Dipolar transfer
Conclusion Chromium spin-3 NEEDED
- Weyl spinor
- Spinor
- Spinor
- Spinor
- Dirac spinor
- Poset lattice
- Mark kasevich
- At stp which substance is the best conductor of electricity
- The cold war lesson 1 the cold war begins
- Bcc structure factor
- Lattice vibrations and thermal properties of solids
- Sodium chloride lattice structure
- Silicon crystal structure
- Lattice vibrations
- Hcp tetrahedral voids
- Lattice method multiplication
- Lattice method with decimals
- Cingulum rest seat preparation
- Lattice type minor connector
- Lattice method
- Prove that every chain is a distributive lattice
- 천정희 교수
- Lattice multiplication decimals
- 356*25
- Lattice mico
- Bigger lattice energy
- Lattice energy trend
- Lattice energy units
- Chloroethene lewis structure
- Thermal stability of group 2 nitrates
- Giant ionic lattice
- Electrons in periodic lattices
- Career lattice template
- Career lattice visual
- Steel roof drawing
- Lattice basis
- Non bravais lattice example
- Types of imperfections
- Lattice basis
- Reciprocal lattice formula
- Lattice energy trends
- Elisa
- Magnitude of lattice energy
- Laue equation
- Advantages of lattice tower
- Lattice organizational structure
- Partial products
- Common core lattice multiplication
- Generating hard instances of lattice problems
- Permutohedral lattice
- Lattice method addition
- Lv lattice
- Equilibrium lattice constant
- Parts of major connector
- Lattice energy of kcl