Quantum phase transitions in an effective Hamiltonian: fast and slow systems

Physics – Quantum Physics

Scientific paper

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Scientific paper

10.1088/1751-8113/41/35/355301

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.

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