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Floquet-engineered phonon lasing methodology for quantum control systems. Design squeezed phonon lasers via Floquet control of solid-state defects with coupled mechanical oscillators and spin systems. From arXiv:2606.05083 (Molinares, Rastelli, Montenegro, Eremeev, 2026).
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| name | floquet-controlled-phonon-lasing |
| description | Floquet-engineered phonon lasing methodology for quantum control systems. Design squeezed phonon lasers via Floquet control of solid-state defects with coupled mechanical oscillators and spin systems. From arXiv:2606.05083 (Molinares, Rastelli, Montenegro, Eremeev, 2026). |
| tags | ["floquet-engineering","phonon-lasing","squeezed-states","solid-state-defects","quantum-control","quantum-metrology","hBN-membrane"] |
| related_skills | ["quantum-control-engineering","quantum-robust-control","quantum-sensor-reliability"] |
Methodology for designing squeezed phonon lasers using Floquet engineering of solid-state defects (color centers in hexagonal boron nitride membranes). The key insight is that a mechanical oscillator coupled to principal and ancilla spins, under effective Floquet driving, simultaneously exhibits squeezed-state amplification and cooling dynamics, producing a stable squeezed phonon laser.
Paper: arXiv:2606.05083 (Molinares et al., 2026)
Floquet theory provides periodic driving to engineer effective Hamiltonians that are not accessible in static systems. For phonon lasing:
Time-periodic Hamiltonian H(t) = H(t+T)
↓ Floquet theorem
Effective static Hamiltonian H_eff
↓ Steady-state analysis
Squeezed phonon laser threshold & spectrum
hBN Membrane (circular)
├── Color Center (principal spin)
├── Ancilla Spin (control)
└── Mechanical Oscillator (phonon mode)
├── Coupling: spin-phonon interaction
└── Output: squeezed phonon lasing
| Parameter | Conventional Lasing | Squeezed Lasing |
|---|---|---|
| State | Coherent state | Squeezed coherent state |
| Noise | Shot-noise limited | Below shot-noise (quadrature) |
| Control | Amplitude only | Amplitude + phase (quadrature) |
| Transition | N/A | Continuous transition via Floquet |
Key Design Steps:
Desired Squeezing Level (target)
↓
Floquet Parameter Selection (frequency, amplitude, phase)
↓
Effective Hamiltonian Engineering
↓
Steady-State Verification (occupation, correlations, spectrum)
↓
Feedback Adjustment (if needed)
This paper demonstrates how control theory (Floquet engineering) can be applied to design quantum systems with desired steady-state properties — a paradigm applicable to broader quantum control systems engineering:
Keywords: floquet engineering, phonon lasing, squeezed states, solid-state defects, hBN membrane, quantum metrology, spin-phonon coupling, periodic driving, quantum control systems, steady-state engineering
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