Discrete time adiabatic theorems for quantum mechanical systems

DOI10.1063/1.532382zbMath1056.81505OpenAlexW2068029783MaRDI QIDQ4661535

A. Dranov, Johannes Kellendonk, Ruedi Seiler

Publication date: 30 March 2005

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

Full work available at URL: http://cds.cern.ch/record/328542

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (6)

Bloch vector, disclination and exotic quantum holonomy ⋮ A nonlinear quantum adiabatic approximation ⋮ Landauer's principle in repeated interaction systems ⋮ On gapped phases with a continuous symmetry and boundary operators ⋮ Time complexity analysis of quantum difference methods for linear high dimensional and multiscale partial differential equations ⋮ Adiabatic Lindbladian evolution with small dissipators

Cites Work

• Adiabatic theorems and applications to the quantum Hall effect
• Power-law corrections to the Kubo formula vanish in quantum Hall systems
• The index of a pair of projections
• Quantal phase factors accompanying adiabatic changes

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