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arXiv:2606.05083

Squeezed Phonon Lasing via Floquet-Controlled Solid-State Defects

Hugo Molinares, Gianluca Rastelli, Victor Montenegro, Vitalie Eremeev

quant-phSubmitted Jun 3, 2026• Announced Jun 4, 2026
v1 · Jun 3, 2026v2 · Aug 6, 2026
arXivHTMLPDF

Abstract

We propose a general Floquet-engineered scheme for phonon lasing that enables a continuous transition from conventional lasing to phase-locked squeezed phonon lasing. Focusing on a solid-state platform based on color centers embedded in a circular hexagonal boron nitride (hBN) membrane, we demonstrate that a mechanical oscillator coupled to principal and ancilla spins, and controlled via effective Floquet driving simultaneously exhibits squeezed-state amplification and cooling dynamics, leading to the emergence of a stable squeezed phonon laser. We analyse the steady-state properties of the system, including the lasing threshold, mechanical occupation, emission spectrum and second-order correlations. Furthermore, we show that Floquet engineering can realize phase-locked lasing while enabling controlled quadrature squeezing, thereby providing a simple yet effective route toward squeezed lasing in quantum mechanical systems. Our results offer new insights into the generation of squeezed phonon lasers in solid-state platforms, with potential applications in quantum metrology.

Comments
20 pages, 4+4(SM) figures. We would be grateful for any comments or suggestions

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We propose a general Floquet-engineered scheme for phonon lasing that enables a continuous transition from conventional lasing to phase-locked squeezed phonon lasing. Focusing on a solid-state platform based on color centers embedded in a circular hexagonal boron nitride (hBN) membrane, we demonstrate that a mechanical oscillator coupled to principal and ancilla spins, and controlled via effective Floquet driving simultaneously exhibits squeezed-state amplification and cooling dynamics, leading to the emergence of a stable squeezed phonon laser. We analyse the steady-state properties of the system, including the lasing threshold, mechanical occupation, emission spectrum and second-order correlations. Furthermore, we show that Floquet engineering can realize phase-locked lasing while enabling controlled quadrature squeezing, thereby providing a simple yet effective route toward squeezed lasing in quantum mechanical systems. Our results offer new insights into the generation of squeezed phonon lasers in solid-state platforms, with potential applications in quantum metrology.
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Floquet engineering, the control of a quantum system by means of time-periodic driving, allows to modify the properties of a system so that it is described by an approximate effective time-independent Hamiltonian. However, in the presence of interactions the stabilization of interesting many-body ground states of such effective Hamiltonians is possible only on a certain time scale, beyond which Floquet heating sets in, as it results from unwanted driving induced resonant excitation. Moreover, the preparation of the ground state of such Floquet engineered effective Hamiltonians usually has to be accomplished adiabatically, which is another source of heating, especially when a phase transition has to be passed in a large system. Here, we propose a general dissipative strategy for the preparation and stabilization of effective ground states that are protected by an energy gap, such as topologically ordered states. It is scalable and relies on coupling the driven system to a thermal bath, the properties of which are chosen so that it both suppresses Floquet heating and guides the system into a non-equilibrium steady state with a large occupation of the effective ground-state. The small residual occupations of effective excited states are non-thermal, reflecting the non-equilibrium nature of the scheme. We use the Floquet-Born-Markov master equation to verify the proposed strategy. In particular, we discuss the preparation of both a one-dimensional Mott insulator and a two-dimensional fractional Chern insulator in strongly driven Bose-Hubbard systems.