Erlangen 2026 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 5: Quantum Mechanics: Spectral Theory and Many-Body Systems

MP 5.3: Talk

Wednesday, March 18, 2026, 14:30–14:45, KH 02.013

Properties of higher-order squeezing — •Felix Fischer — FAU Erlangen

Squeezed light is a corner stone of modern quantum optics, with applications ranging from increasing measurement precision at LIGO to bosonic quantum computing. Higher-order generalizations are a promising candidate for error correction schemes in continous variable quantum computing. However their well-definedness has been the subject of longstanding debate. In this talk, we show that higher-order squeezing operators become well-defined when imposing suitable boundary conditions at infinity. We observe that different boundary conditions correspond to different dynamics and ultimately different physical systems. Furthermore, we investigate the spectra, dynamics and symmetries of higher-order squeezing operators. In particular, higher-order squeezing dynamics show, opposed to usual second order squeezing, oscillatory behaviour in time.

Keywords: Quantum Optics; Squeezing; Self-adjoint extensions; Jacobi Operators; Spectral Theory