Gross-Pitaevskii non-linear dynamics for pseudo-spinor condensates

DOI10.1080/14029251.2017.1346348zbMath1420.35080arXiv1704.00150OpenAlexW2606707703MaRDI QIDQ5231080

Alessandro Olgiati, Alessandro Michelangeli

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.00150

zbMATH Keywords

coupled nonlinear Schrödinger systemreduced density matrixpartial tracecubic NLSmany-body quantum dynamicseffective non-linear evolution equationsGross-Pitaevskii scalingpseudo-spinor Bose-Einstein condensates

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Many-body theory; quantum Hall effect (81V70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) (2)-body potential quantum scattering theory (81U05) Experimental work for problems pertaining to quantum theory (81-05) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (12)

Reduced fluctuations for bosons in a double well ⋮ Lieb–Robinson bounds and growth of correlations in Bose mixtures ⋮ Gross-Pitaevskii dynamics for Bose-Einstein condensates ⋮ On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution ⋮ On the Cauchy problem for the Hartree approximation in quantum dynamics ⋮ Derivation of the 2d Gross-Pitaevskii equation for strongly confined 3d bosons ⋮ Rate of convergence toward Hartree type equations for mixture condensates with factorized initial data ⋮ Higher order corrections to the mean-field description of the dynamics of interacting bosons ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ Mean-field dynamics for mixture condensates via Fock space methods ⋮ Ground state energy of mixture of Bose gases ⋮ Effective non-linear spinor dynamics in a spin-1 Bose–Einstein condensate

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