Sublattice symmetry in any 1D quadratic bosonic pairing Hamiltonian automatically implies an effective time-reversal symmetry of the dynamical matrix, enabling a symmetry-protected skin effect distinct from quadrature decoupling.
Quantum-limited amplification without instability
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abstract
Quantum parametric amplifiers typically generate by operating in proximity to a point of dynamical instability. We consider an alternate general strategy where quantum-limited, large-gain amplification is achieved without any proximity to a dynamical instability. Our basic mechanism (involving dynamics that conserves the number of squeezed photons) enables the design of a variety of one and two mode amplifiers that are not limited by any fundamental gain-bandwidth constraint. We focus on a particular realization that allows us to realize an ideal single-mode squeezing operation in transmission, and which has zero reflection. We present both a thorough theoretical analysis of this system (including pump-depletion effects), and also discuss results of an experimental superconducting quantum circuit implementation.
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2026 1verdicts
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Symmetry as a route to generalized bosonic Kitaev chains
Sublattice symmetry in any 1D quadratic bosonic pairing Hamiltonian automatically implies an effective time-reversal symmetry of the dynamical matrix, enabling a symmetry-protected skin effect distinct from quadrature decoupling.