Two new open-system approaches (Lanczos supermode expansion and Markovian master equation) model non-linear quantum soliton dynamics, capturing phase shifts and photon loss beyond linearization.
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A canonical formalism is introduced to analytically compute quantum fluctuations in positions, velocities, norms, and phases of solitons within 2- and 3-soliton breathers of the nonlinear Schrödinger equation after a coupling constant quench.
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Quantum Optical Soliton Dynamics Beyond Linearization: An Open-System Approach
Two new open-system approaches (Lanczos supermode expansion and Markovian master equation) model non-linear quantum soliton dynamics, capturing phase shifts and photon loss beyond linearization.
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A canonical approach to quantum fluctuations
A canonical formalism is introduced to analytically compute quantum fluctuations in positions, velocities, norms, and phases of solitons within 2- and 3-soliton breathers of the nonlinear Schrödinger equation after a coupling constant quench.