Abstract

Solid-state elastic-wave phonons are a promising platform for quantum information applications, but strong nonlinear phonon-phonon interactions remain a challenge. This work develops a first-principles perturbative framework for the nonlinear phononic susceptibility of a piezoelectric-semiconductor heterostructure hosting a two-dimensional electron gas (2DEG), derives first-, second-, and third-order susceptibilities, and applies the theory to a lithium niobate surface acoustic wave coupled to a GaAs-AlGaAs 2DEG. The results suggest strong Kerr and three-wave-mixing nonlinearities that could enable acoustic qubits and traveling-wave parametric amplification.

Abstract

Solid-state elastic-wave phonons are a promising platform for quantum information applications, but strong nonlinear phonon-phonon interactions remain a challenge. This work develops a first-principles perturbative framework for the nonlinear phononic susceptibility of a piezoelectric-semiconductor heterostructure hosting a two-dimensional electron gas (2DEG), derives first-, second-, and third-order susceptibilities, and applies the theory to a lithium niobate surface acoustic wave coupled to a GaAs-AlGaAs 2DEG. The results suggest strong Kerr and three-wave-mixing nonlinearities that could enable acoustic qubits and traveling-wave parametric amplification.

Abstract

Solid-state elastic-wave phonons are a promising platform for quantum information applications, but strong nonlinear phonon-phonon interactions remain a challenge. This work develops a first-principles perturbative framework for the nonlinear phononic susceptibility of a piezoelectric-semiconductor heterostructure hosting a two-dimensional electron gas (2DEG), derives first-, second-, and third-order susceptibilities, and applies the theory to a lithium niobate surface acoustic wave coupled to a GaAs-AlGaAs 2DEG. The results suggest strong Kerr and three-wave-mixing nonlinearities that could enable acoustic qubits and traveling-wave parametric amplification.

Abstract

Solid-state elastic-wave phonons are a promising platform for quantum information applications, but strong nonlinear phonon-phonon interactions remain a challenge. This work develops a first-principles perturbative framework for the nonlinear phononic susceptibility of a piezoelectric-semiconductor heterostructure hosting a two-dimensional electron gas (2DEG), derives first-, second-, and third-order susceptibilities, and applies the theory to a lithium niobate surface acoustic wave coupled to a GaAs-AlGaAs 2DEG. The results suggest strong Kerr and three-wave-mixing nonlinearities that could enable acoustic qubits and traveling-wave parametric amplification.