Entanglement of excitons by acoustic guiding
A system is described that exhibits the functionality of a beam-splitter, typically an optical device that splits a beam of light in two. In this case, the beams are acoustic pulses and can lead to the creation of a Wannier-Mott exciton: a bound state of an electron and an electron hole whose attraction to each other is maintained by the electrostatic Coulomb force. This exciton beam-splitter is lossy (i.e., involves the dissipation of electrical or electromagnetic energy). Half of the time the exciton is radiated away. Nevertheless, if the exciton is not lost, the exciton is now in a superposition of two states that can be well separated in position. Four such beam-splitters can be used to make an exciton interferometer that uses the interference patterns from the interacting acoustic pulses to extract information.
1. A method of manipulating a Wannier-Mott exciton comprising:
launching a plurality of inner wave pulses of an elastic medium into one another to cause a first collision;
during said first collision, raising an energy of an antisymmetric component of an exciton wave function into a continuum such that the energy is lost from a potential well produced by the elastic medium;
launching a plurality of outer waves pulses toward one another to cause:
second collisions between the plurality of outer waves and resulting waves from the first collision;
a third collision between a subset of waves resulting from the second collisions; and
a probability the Wannier-Mott exciton arrives at one or more predetermined locations based on a phase shift that can occur at a time between the second collisions and third collision; and
detecting whether the Wannier-Mott exciton arrived at the one or more predetermined locations and/or collecting the Wannier-Mott exciton for quantum computation(s).
2. The method of claim 1 further comprising repeating the steps of the method until the third collision results in a merger where a symmetric exciton mode emerges with no amplitude lost.
3. The method of claim 1 further comprising controlling the phase shift and/or a distance between two wells to said probability.
4. The method of claim 1 further comprising binding the Wannier-Mott exciton with visible light to form an exciton-polariton or with sound waves to form an exciton-phonon.
5. The method of claim 1 further comprising well separating the Wannier-Mott exciton in position.
6. The method of claim 1 , wherein:
the elastic medium comprises an acoustic field; and
the plurality of inner wave pulses and the plurality of outer wave pulses are formed from using ultrasound.
7. The method of claim 1 , wherein the second collisions comprise two collisions substantially equidistantly spaced from a central location of an interferometer used to carry out the method and the first collision and the third collision occur at said central location.
8. The method of claim 1 , wherein an exciton amplitude of a first inner wave pulse selected from the plurality of wave pulses is non-zero and an exciton amplitude of a second wave pulse selected from the plurality of wave pulses equals zero.
9. The method of claim 1 , wherein the plurality of inner wave pulses and/or the plurality of outer wave pulses are launched from the same source and/or have a substantially similar or identical frequency.
10. The method of claim 1 , further comprising extracting information from interference by measuring a physical characteristic of sound selected from the group consisting of:
velocity,
wavelength,
absorption,
impedance, and
temperature.