Effective Non-linear Dynamics of Binary Condensates and Open Problems

DOI10.1007/978-3-319-58904-6_14zbMath1374.81103arXiv1702.04196OpenAlexW2734529489MaRDI QIDQ4593658

Alessandro Olgiati

Publication date: 22 November 2017

Published in: Advances in Quantum Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.04196

zbMATH Keywords

coupled nonlinear Schrödinger systemreduced density matrixpartial tracecubic NLSeffective non-linear evolution equationsGross-Pitaevskii scalingmanybody quantum dynamicsMean-field regimemixture condensates

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Systems of nonlinear higher-order PDEs (35G50)

Related Items (11)

Reduced fluctuations for bosons in a double well ⋮ Lieb–Robinson bounds and growth of correlations in Bose mixtures ⋮ Interacting bosons in a double-well potential: localization regime ⋮ On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution ⋮ Derivation of the Hartree equation for compound Bose gases in the mean field limit ⋮ Rate of convergence toward Hartree type equations for mixture condensates with factorized initial data ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ Unnamed Item ⋮ Ground state energy of mixture of Bose gases ⋮ Gross-Pitaevskii non-linear dynamics for pseudo-spinor condensates ⋮ Effective non-linear spinor dynamics in a spin-1 Bose–Einstein condensate

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