• DOI:10.1209/0295-5075/113/37005
• Corpus ID: 118861592

Quantum-classical equivalence and ground-state factorization

@article{Abouie2016QuantumclassicalEA,
  title={Quantum-classical equivalence and ground-state factorization},
  author={Jahanfar Abouie and Reza Sepehrinia},
  journal={Europhysics Letters},
  year={2016},
  volume={113}
}

• J. Abouie, R. Sepehrinia
• Published 29 February 2016
• Physics
• Europhysics Letters

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.