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Title: Quantum dynamical simulation of a transversal stern–gerlach interferometer
Authors: Paraniak, Mikolaj M.
Englert, Berthold-Georg 
Keywords: Humpty-Dumpty problem
Matter-wave interferometry
Quantum evolution
Split-operator approximation
Stern–Gerlach interferometer
Suzuki–Trotter factorization
Issue Date: 8-Sep-2021
Publisher: MDPI
Citation: Paraniak, Mikolaj M., Englert, Berthold-Georg (2021-09-08). Quantum dynamical simulation of a transversal stern–gerlach interferometer. Symmetry 13 (9) : 1660. ScholarBank@NUS Repository.
Rights: Attribution 4.0 International
Abstract: Originally conceived as a thought experiment, an apparatus consisting of two Stern– Gerlach apparatuses joined in an inverted manner touched on the fundamental question of the reversibility of evolution in quantum mechanics. Theoretical analysis showed that uniting the two partial beams requires an extreme level of experimental control, making the proposal in its original form unrealizable in practice. In this work, we revisit the above question in a numerical study concerning the possibility of partial-beam recombination in a spin-coherent manner. Using the Suzuki–Trotter numerical method of wave propagation and a configurable, approximation-free magnetic field, a simulation of a transversal Stern–Gerlach interferometer under ideal conditions is performed. The result confirms what has long been hinted at by theoretical analyses: the transversal Stern–Gerlach interferometer quantum dynamics is fundamentally irreversible even when perfect control of the associated magnetic fields and beams is assumed. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
Source Title: Symmetry
ISSN: 2073-8994
DOI: 10.3390/sym13091660
Rights: Attribution 4.0 International
Appears in Collections:Staff Publications

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