Related papers: Nonlinear, non-signaling Schr\"odinger equation

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This work investigates the deformed-derivative formalism introduced by Borges.<n>It focuses on the relation between the linear operator $D_(q)$ and its nonlinear dual counterpart $D(q)$.<n>We show that this nonlinearity can be removed by a simultaneous transformation of the coordinate and of the wave function.
arXiv Detail & Related papers (2026-05-27T11:29:44Z)
Why Does Classical Turbulence Obey an Area Law? [0.0]
In incompressible flow the viscous force is solenoidal, whereas the Made transform of a spinless Schrdinger equation produces only gradient forces.<n>Reducing the $N$-body density matrix to its one-body and closing the dynamics via Born-Markov yields Lindblad jump operators with $k2$ scattering rates.<n>Dissipation and forcing are not separate ingredients: both come from the same Lindblad operators, and their amplitudes are locked by the QSD structure.
arXiv Detail & Related papers (2026-04-21T07:38:15Z)
A Nonlinear $q$-Deformed Schrödinger Equation [0.0]
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arXiv Detail & Related papers (2026-02-11T19:33:48Z)
An Improved Bound on Nonlinear Quantum Mechanics using a Cryogenic Radio Frequency Experiment [41.48817643709061]
We set a new limit on the electromagnetic nonlinearity parameter $|epsilon| lessapprox 1.15 times 10-12$, at a 90.0% confidence level. This is the most stringent limit on nonlinear quantum mechanics thus far and an improvement by nearly a factor of 50 over the previous experimental limit.
arXiv Detail & Related papers (2024-11-14T17:31:33Z)
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arXiv Detail & Related papers (2024-02-03T14:33:29Z)
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arXiv Detail & Related papers (2023-07-28T21:30:44Z)
Dynamical chaos in nonlinear Schr\"odinger models with subquadratic power nonlinearity [137.6408511310322]
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arXiv Detail & Related papers (2023-01-20T16:45:36Z)
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arXiv Detail & Related papers (2022-06-26T21:23:16Z)
Perturbation theory for nonlinear Schrodinger equations [0.0]
This power series is proved to be convergent when the parameter representing the intensity of the nonlinear term is less in absolute value than a threshold value. It gives a stationary solution to the nonlinear Schrodinger equation.
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A unified approach to the nonlinear Rabi models [0.0]
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In-Gap Band Formation in a Periodically Driven Charge Density Wave Insulator [68.8204255655161]
Periodically driven quantum many-body systems host unconventional behavior not realized at equilibrium. We investigate such a setup for strongly interacting spinless fermions on a chain, which at zero temperature and strong interactions form a charge density wave insulator.
arXiv Detail & Related papers (2022-05-19T13:28:47Z)
Driven anti-Bragg subradiant states in waveguide quantum electrodynamics [91.3755431537592]
We study theoretically driven quantum dynamics in periodic arrays of two-level qubits coupled to the waveguide. We demonstrate, that strongly subradiant eigenstates of the master equation for the density matrix emerge under strong coherent driving for arrays with the anti-Bragg periods.
arXiv Detail & Related papers (2022-02-21T11:36:55Z)
Numerical investigation of the logarithmic Schr\"odinger model of quantum decoherence [0.0]
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arXiv Detail & Related papers (2021-10-11T03:18:03Z)
Designing Kerr Interactions for Quantum Information Processing via Counterrotating Terms of Asymmetric Josephson-Junction Loops [68.8204255655161]
static cavity nonlinearities typically limit the performance of bosonic quantum error-correcting codes. Treating the nonlinearity as a perturbation, we derive effective Hamiltonians using the Schrieffer-Wolff transformation. Results show that a cubic interaction allows to increase the effective rates of both linear and nonlinear operations.
arXiv Detail & Related papers (2021-07-14T15:11:05Z)
Fractional Schr\"odinger equation in gravitational optics [91.3755431537592]
This paper addresses issues surrounding the concept of fractional quantum mechanics, related to lights propagation in inhomogeneous nonlinear media. We have also concerned with linear and nonlinear Airy beam accelerations in flat and curved spaces and fractal photonics.
arXiv Detail & Related papers (2021-01-28T10:45:21Z)
A Nonlinear Master Equation for Open Quantum Systems [0.0]
A nonlinear master equation is derived, reflecting properly the entropy of open quantum systems. The corresponding nonlinear equation for the Wigner function accounts rigorously for the thermo-quantum entropy.
arXiv Detail & Related papers (2020-10-12T12:19:29Z)

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