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

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Publication:3525037

DOI10.1088/1751-8113/41/35/355301zbMath1145.81444arXiv0801.4689OpenAlexW3103100668MaRDI QIDQ3525037

Luis Roa, Isabel Sainz, Andrei B. Klimov

Publication date: 16 September 2008

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Abstract: 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.


Full work available at URL: https://arxiv.org/abs/0801.4689










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