Related Experiment Video
Updated: Jun 8, 2026
15:58
Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing
Published on: December 3, 2013
Collinear four-wave mixing of two-component matter waves
Daniel Pertot1, Bryce Gadway, Dominik Schneble
1Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794-3800, USA. dpertot@ic.sunysb.edu
Physical Review Letters
|September 28, 2010
Summary
We demonstrate atomic four-wave mixing of two-component matter waves. This quantum atom optics technique uses Bose-Einstein condensates and shows promise for studying bosonic mixtures in optical lattices.
Area of Science:
- Quantum physics
- Atomic physics
- Optics
Background:
- Bose-Einstein condensates (BECs) are crucial for studying quantum phenomena.
- Controlling and manipulating matter waves is essential for quantum technologies.
- Four-wave mixing is a nonlinear optical process with potential applications in atom optics.
Purpose of the Study:
- To demonstrate atomic four-wave mixing (FWM) of two-component matter waves.
- To explore the use of FWM in preparing and populating output modes from a BEC.
- To investigate the role of FWM in studying bosonic mixtures within optical lattices.
Main Methods:
- Preparation of seed and pump modes from a single-species BEC using microwave state transfer.
- State-selective Kapitza-Dirac diffraction for mode preparation.
- Experimental realization of collinear atomic four-wave mixing.
- Simulations using a coupled-mode expansion of the Gross-Pitaevskii equation.
Main Results:
- Successful demonstration of atomic four-wave mixing with two-component matter waves.
- Experimental data shows excellent agreement with Gross-Pitaevskii equation simulations.
- Populating of initially empty output modes via four-wave mixing.
- Validation of the FWM process in a collinear geometry.
Conclusions:
- Atomic four-wave mixing is a viable technique for manipulating matter waves.
- This method can be important for research on bosonic mixtures in optical lattices.
- The demonstrated system offers new possibilities for quantum atom optics.
Related Concept Videos
01:07Interference and Superposition of Waves
When two waves of the same nature occur in the same region simultaneously, they result in interference. Interference of waves implies that the net effect of the waves is the sum of the individual waves' effects. However, it does not imply that the individual waves affect the propagation of other waves.
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
01:30Electromagnetic Waves in Matter
Electromagnetic waves can travel in the vacuum as well as in matter. For example light, which is an electromagnetic wave, can travel through air, water, or glass.
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the medium, μ.
Furthermore, the...
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the medium, μ.
Furthermore, the...
01:27¹H NMR: Long-Range Coupling
The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene π orbitals.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene π orbitals.
02:18Interference and Diffraction
Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
01:13¹H NMR Signal Multiplicity: Splitting Patterns
When protons A and X are coupled, their nuclear spin energy levels are slightly modified. This is because the energy required to excite proton A to a spin state parallel to proton X is slightly different from the energy required for it to become anti-parallel to spin X. Consequently, there are two possible excitation frequencies for A (A1 and A2), depending on the spin state of X, and vice versa. The mutual nature of coupling implies that the difference between frequencies A1 and A2, indicated...
01:20Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)
Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...