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Geometric phases and quantum phase transitions in open systems | | Alexander I. Nesterov
; S. G. Ovchinnikov
; | | Date: |
22 Jun 2008 | | Abstract: | The relationship between quantum phase transition and complex geometric phase
for open quantum system governed by the non-Hermitian effective Hamiltonian
with the accidental crossing of the eigenvalues is established. In particular,
the geometric phase associated with the ground state of the one-dimensional
dissipative Ising model in a transverse magnetic field is evaluated, and it is
demonstrated that related quantum phase transition is of the first order. | | Source: | arXiv, 0806.3529 | | Services: | Forum | Review | PDF | Favorites | |
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