Volume 113, Number 3, February 2016
|Number of page(s)||5|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||29 February 2016|
Quantum-classical equivalence and ground-state factorization
1 Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS) - Zanjan 45137-66731, Iran
2 Department of Physics, University of Tehran - Tehran 14395-547, Iran
3 School of Physics, Institute for Research in Fundamental Sciences, IPM - Tehran 19395-5531, Iran
Received: 8 November 2015
Accepted: 15 February 2016
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.
PACS: 75.10.Pq – Spin chain models / 75.10.Hk – Classical spin models / 03.67.Mn – Entanglement measures, witnesses, and other characterizations
© EPLA, 2016
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