Diagonalizing quadratic bosonic operators by non-autonomous flow equation

DOI10.1090/memo/1138zbMath1435.81003arXiv1608.05591OpenAlexW2305122200MaRDI QIDQ5365180

Volker Bach, Jean-Bernard Bru

Publication date: 6 October 2017

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.05591

zbMATH Keywords

evolution equationsquadratic operatorsdouble bracket flowflow equations for operatorsBrocket-Wegner flow

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Nonlinear evolution equations (47J35) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

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Classical dynamics from self-consistency equations in quantum mechanics, Suppression of decoherence of a spin-boson system by time-periodic control, Some remarks about flows of Hilbert-Schmidt operators, Bosons in a double well: two-mode approximation and fluctuations, Bosonic quadratic Hamiltonians, Classical dynamics generated by long-range interactions for lattice fermions and quantum spins, Topological edge states for disordered bosonic systems, An evolution equation approach to the Klein-Gordon operator on curved spacetime, Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger, Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime

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