Isabel Sainz, Andrei B. Klimov, Luis Roa
Published 2008-01-30Version 1
An effective Hamiltonian describing interaction between generic "fast" and a "slow" systems is obtained in the strong interaction limit. The result is applied for studying the effect of quantum phase transition as a bifurcation of the ground state of the "slow subsystem" in the thermodynamic limit. Examples as atom-field and atom-atom interactions are analyzed in detail.
Journal: J. Phys.A: Math. Theor. 41 (2008) 355301
Level crossing and quantum phase transition of the XY model
Graph states as ground states of two-body frustration-free Hamiltonians
Quantum simulation of a system with competing two- and three-body interactions
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