Abstract
In solid-state physics, the quantized lattice vibrations, i.e., the phonons, play a vital role. Phonons, much like photons, satisfy bosonic commutation relations, and therefore, various concepts well-known in quantum optics can be transferred to the emerging field of phononics. Examples are non-classical states and, in particular, squeezed states. We discuss the generation of phonon squeezing by optically exciting a quantum dot and show that by excitation with detuned continuous wave laser fields, sequences of squeezed phonon wave packets are created, which are emitted from the quantum dot region into the surrounding material.
Highlights
Phonons are the quantized vibrations of the crystal lattice
The exciton is driven by an optical continuous wave (CW) field that is switched on according to Equation (9) with τ = 0.5 ps
Phonon squeezing is in many ways similar to photon squeezing, and, some pronounced differences appear
Summary
Phonons are the quantized vibrations of the crystal lattice. They are, in many ways, similar to photons, i.e., the quanta of the electromagnetic field, because both phonons and photons satisfy bosonic commutation relations. Photonics 2015, 2 generated, e.g., by parametric down-conversion, and which can be used to provide higher measurement precision, e.g., in gravitational wave detectors [5] This is possible, because squeezing allows one to reduce the quantum mechanical fluctuations of one observable below its vacuum value at the cost of enlarged fluctuations of the conjugate observable. When the phonon system cannot be reduced to a single mode and modes with a continuum of frequencies contribute to the displacement and momentum of the lattice ions, a localized excitation leads to the creation of traveling phonon wave packets [28]. These wave packets can exhibit squeezing [22]. We will show that while for excitations by laser fields resonant to the exciton-transition energy, no squeezing occurs, for detuned excitations, sequences of squeezed wave packets can be emitted from the QD
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