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

Journal of Physics A: Mathematical and Theoretical, Vol. 41, No. 35. (2008), 355301.

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adiabatic dynamics hamiltonian phase-transition physics quantum

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An effective Hamiltonian describing interaction between generic fast and 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. Examples such as atom-field and atom-atom interactions are analyzed in detail.


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