Quantum limits on squeezing
TLDR
This paper derives quantum limits on steady-state squeezing in bosonic networks, showing new bounds for dissipative and parametrically driven systems.
Key contributions
- Derives a lower bound on steady-state squeezing in reservoir-engineered bosonic networks based on commutation relations.
- Shows this bound is saturated at 1 in strong-coupling and approaches 1/2 with parametric driving.
- Reformulates the Duan inseparability criterion for three-mode bosonic systems using derived constraints.
- Results are applicable to electromechanical and nanomechanical experiments, even at room temperature.
Why it matters
This work establishes fundamental quantum limits on squeezing, crucial for understanding and optimizing quantum technologies. It provides practical bounds applicable to current experiments, potentially guiding the design of more efficient quantum devices.
Original Abstract
In our work, we show how, for a network of bosonic modes, canonical commutation relations constrain the coefficients relating input and internal modes. Based on these constraints, we derive a lower bound on the total steady-state squeezing achievable in reservoir-engineered (dissipative) squeezing schemes, quantified by the sum of mode-optimal quadrature variances normalized to its corresponding input variance. The bound follows solely from canonical commutation relations and stability, and is saturated in the strong-coupling limit at 1. Furthermore, we show that adding independent parametric driving terms for each mode changes the quantum noise-gain balance and yields a distinct optimum bound, approaching 1/2. In addition, we show how these constraints allow us to reformulate the Duan inseparability criterion for a three-mode bosonic system in terms of a single parameter-dependent figure of merit. Our results apply directly to current electromechanical and nanomechanical experiments and indicate that the two-mode bounds can be experimentally approached even at room temperature.
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