The adiabatic approximation for quantum spin systems with a spectral gap

DOI10.1007/BF02108813zbMath0860.46052OpenAlexW2043434890MaRDI QIDQ1924033

Claudio Albanese

Publication date: 8 April 1997

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

Full work available at URL: https://doi.org/10.1007/bf02108813

zbMATH Keywords

spectral gapquantum fluctuationsHamiltonian dynamicsadiabatic approximationfinite order truncation of a time dependent cluster expansioninverse powers of the time scaleslowly variable external magnetic fieldtime evolution of local observablesXY quantum magnet

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Applications of functional analysis in quantum physics (46N50)

Cites Work

• Unitary dressing transformations and exponential decay below threshold for quantum spin systems. I, II
• Exponentially small adiabatic invariant for the Schrödinger equation

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