Spontaneous PT symmetry breaking and quantum phase transitions in dimerized spin chains

Details Spontaneous PT symmetry breaking and quantum phase transitions in dimerized spin chains Spontaneous PT symmetry breaking and quantum phase transitions in dimerized spin chains

2010-08-24

arxiv.org/abs/1008.4102v1

Physical Review B 82, 052404 (2010)

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevB.82.052404

The occurrence of parity-time reversal ($\mathcal{PT}$) symmetry breaking is discussed in a non-Hermitian spin chain. The Hermiticity of the model is broken by the presence of an alternating, imaginary, transverse magnetic field. A full real spectrum, which occurs if and only if all the eigenvectors are $\mathcal{PT}$ symmetric, can appear only in presence of dimerization, i.e. only if the hopping amplitudes between nearest-neighbor spins assume alternate values along the chain. In order to make a connection between such system and the Hermitian world, we study the critical magnetic properties of the model and look for the conditions that would allow to observe the same phase diagram in the absence of the imaginary field. Such procedure amounts to renormalizing the spin-spin coupling amplitudes.

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