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Paper   IPM / Physic / 14409
School of Physics
  Title:   Quantum-classical equivalence and ground-state factorization
1.  J. Abouie
2.  R. Sepehrinia
  Status:   Published
  Journal: EPL
  No.:  3
  Vol.:  113
  Year:  2016
  Pages:   37005
  Supported by:  IPM
We have performed an analytical study of quantum-classical equivalence for quantum XY-spin chains with arbitrary interactions to explore the classical counterpart of the factorizing magnetic fields that drive the system into a separable ground state. We demonstrate that the factorizing line in the parameter space of a quantum model is equivalent to the so-called natural boundary that emerges in mapping the quantum XY-model onto the two-dimensional classical Ising model. As a result, we show that the quantum systems with the non-factorizable ground state could not be mapped onto the classical Ising model. Based on the presented correspondence we suggest a promising method for obtaining the factorizing field of quantum systems through the commutation of the quantum Hamiltonian and the transfer matrix of the classical model.

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