Engineering a squeezed phonon reservoir with a bichromatic driving of a quantum dot

TL;DR

This paper proposes a method to engineer a quantum squeezed reservoir using a bichromatic laser field coupled to a quantum dot and an acoustic phonon bath, enabling control over the reservoir's squeezing properties.

Contribution

It introduces a novel approach to create and control a quantum squeezed reservoir via bichromatic driving of a quantum dot, including the ability to achieve perfect squeezing.

Findings

The effective reservoir can be tuned to act as a squeezed field of harmonic oscillators.

Equal Rabi frequencies produce a perfectly squeezed reservoir inhibiting decay of a quadrature.

Initial coherence influences the steady-state population and fluorescence spectrum.

Abstract

We demonstrate how an acoustic phonon bath when coupled to a quantum dot with the help of a bichromatic laser field may effectively form a quantum squeezed reservoir. This approach allows to achieve an arbitrary degree of squeezing of the effective reservoir and it incorporates the properties of the reservoir into two parameters, which can be controlled by varying the ratio of the Rabi frequencies of the bichromatic field. It is found that for unequal Rabi frequencies, the effective reservoir may appear as a quantum squeezed field of ordinary or inverted harmonic oscillators. When the Rabi frequencies are equal the effective reservoir appears as a perfectly squeezed field in which the decay of one of the polarization quadratures of the quantum dot dipole moment is inhibited. The decay of the quantum dot to a stationary state which depends on the initial coherence is predicted. This unusual result is shown to be a consequence of a quantum-nondemolition type coupling of the quantum dot to the engineered squeezed reservoir. The effect of the initial coherence on the steady-state dressed-state population distribution and the fluorescence spectrum is discussed in details. The complete polarization of the dressed state population and asymmetric spectra composed of only a single Rabi sideband peak are obtained under strictly resonant excitation.