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}
}
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… 

References

SHOWING 1-10 OF 21 REFERENCES

Ground-state factorization and correlations with broken symmetry

We show how the phenomenon of factorization in a quantum many-body system is of collective nature. To this aim we study the quantum discord Q in the one-dimensional XY model in a transverse field. We

Studying quantum spin systems through entanglement estimators.

At the quantum-critical point, a deep minimum in the pairwise-to-globalEntanglement ratio shows that multispin entanglement is strongly enhanced; moreover this signature represents a novel way of detecting the quantum phase transition of the system, relying entirely on entanglements estimators.

Equivalence between the two-dimensional Ising model and the quantum XY chain with randomness and with open boundary

The equivalence between the two-dimensional Ising model and the one-dimensional quantum XY model is generalized to the cases with alternating/random interactions and with periodic/free boundary

Quantum discord in finite XY chains

We examine the quantum discord between two spins in the exact ground state of finite spin-1/2 arrays with anisotropic XY couplings in a transverse field B. It is shown that in the vicinity of the

Criticality, factorization, and long-range correlations in the anisotropic XY model

We study the long-range quantum correlations in the anisotropic XY-model. By first examining the thermodynamic limit we show that employing the quantum discord as a figure of merit allows one to

Entanglement of finite cyclic chains at factorizing fields

We examine the entanglement of cyclic spin 1/2 chains with anisotropic XY Z Heisenberg couplings of arbitrary range at transverse factorizing magnetic fields. At these fields the system exhibits a

Effects of a space modulation on the behavior of a 1D alternating Heisenberg spin-1/2 model

The effects of a magnetic field (h) and a space modulation (δ) on the magnetic properties of a one-dimensional antiferromagnetic–ferromagnetic Heisenberg spin-1/2 model have been studied by means of

Topological quantum phase transition in bond-alternating spin-12Heisenberg chains

We investigate string correlations in an infinite-size spin-1/2 bond-alternating Heisenberg chain. By employing the infinite matrix product state representation with the infinite time evolving block

Factorization and entanglement in general XYZ spin arrays in nonuniform transverse fields

We determine the conditions for the existence of a pair of degenerate parity breaking separable eigenstates in general arrays of arbitrary spins connected through XYZ couplings of arbitrary range and