Electric field control element for phonons

1. A phonon transistor comprising:

electrical contacts;

two quantum dots embedded in a semiconductor such that when an electrical bias is applied to the electrical contacts, an electric field produced by the electrical bias is substantially parallel to an axis through the two quantum dots, wherein the two quantum dots include a first and second quantum dot, wherein the first quantum dot and the semiconductor provide a continuum state, wherein the second quantum dot provides a discrete state, wherein the continuum state and the discrete state are coupled when the electrical bias is applied to the electrical contacts, and wherein the electrical bias provides a gating mechanism for the coupling such that when the electrical bias includes a first electro potential the electric field inhibits the generation or transmission of phonons and when the electrical bias includes a second electro potential different from the first electro potential, the electrical field promotes the generation or transmission of phonons; and

a phononic wave guide coupled to the semiconductor, the phononic wave guide configured to transport phonons therethrough.

2. The phonon transistor of claim 1 , further comprising:

a lead configured to provide excitation energy to the semiconductor, wherein the lead is an optical lead, an electrical lead, or a phononic lead.

3. The phonon transistor of claim 1 , wherein an electric field line of the electric field is coaxial with the axis through the two quantum dots.

4. The phonon transistor of claim 1 , wherein the phonon is localized in the quantum dots as a function of the electric field.

5. The phonon transistor of claim 4 , wherein the two quantum dots are spaced apart so as to create a polaron and an indirect exciton in the presence of the electric field.

6. A phonon control system comprising:

a means for providing excitation energy;

a phonon transistor coupled to the means for providing excitation energy, the phonon transistor comprising:

an electrically conductive medium;

first and second electrically conductive elements electrically coupled to the electrically conductive medium, the first and second electrically conductive elements configured to provide an electric potential to the electrically conductive medium when the electric potential is applied to the first and second conductive elements;

first and second quantum dots embedded in the electrically conductive medium such that in the presence of an electric field provided by the electric potential, a state of the first quantum dot couples with a state of a combination of the second quantum dot and the electrically conductive medium;

a lead element coupled to the means for providing excitation energy, the lead element configured to provide the excitation energy to the electrically conductive medium; and

a first phononic wave guide coupled to the electrically conductive medium, the first phononic wave guide configured to transport phonons generated within the electrically conductive medium.

7. The system of claim 6 , wherein the means for providing excitation energy includes a laser and wherein the lead element includes an optical fiber.

8. The system of claim 6 , wherein the means for providing excitation energy includes an electrical power supply and the lead element includes a wire.

9. The system of claim 6 , wherein the lead element includes a second phononic wave guide.

10. The system of claim 6 , wherein the electric field is substantially parallel to an axis through the first and second quantum dots.

11. The system of claim 6 , wherein the electrically conductive medium includes a semiconductor diode.