# 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

- Physics
- 2011

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.

- PhysicsPhysical review letters
- 2004

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

- Physics
- 2014

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

- Physics
- 2010

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

- Physics
- 2013

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

- Physics
- 2008

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

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2011

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

- Physics
- 2013

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

- Physics
- 2009

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…