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• W2007463531 abstract "We apply the method of transitionless quantum driving for time-dependent quantum systems to spin systems. For a given Hamiltonian, the driving Hamiltonian is constructed so that the adiabatic states of the original system obey the Schrodinger equation. For several typical systems such as the $XY$ spin chain and the Lipkin-Meshkov-Glick model, the driving Hamiltonian is constructed explicitly. We discuss possible interesting situations when the driving Hamiltonian becomes time independent and when the driving Hamiltonian is equivalent to the original one. For many-body systems, a crucial problem occurs at the quantum phase transition point where the energy gap between the ground and first excited states becomes zero. We discuss how the defect can be circumvented in the present method." @default.
• W2007463531 created "2016-06-24" @default.
• W2007463531 creator A5009976413 @default.
• W2007463531 date "2013-06-12" @default.
• W2007463531 modified "2023-10-16" @default.
• W2007463531 title "Transitionless quantum driving for spin systems" @default.
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• W2007463531 doi "https://doi.org/10.1103/physreve.87.062117" @default.
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