Quantum steering in magnetic Heisenberg models at finite temperature

Abstract

We investigate the behavior of quantum steering for a pair of quantum qubits described by the Heisenberg model with external magnetic field and in equilibrium with a reservoir at temperature T . Generally, the steerable weight, which is used to identify the steerability, is suppressed by thermal fluctuations. When the magnetic field is vanishing, the steerable weight behaves like the quantum entanglement. When the magnetic field is not zero, the steerable weight is dramatically different from the other quantities used to identify the quantum correlations between the two spins, i.e., the concurrence, quantum discord and coherence. In the strong magnetic field limit, all of the other quantities we studied are vanishing for the Ising model, while steerable weight tends to one. This demonstrates that the strong transverse magnetic field is helpful to preserve the quantum steerability of the Ising model.

Quantum steering in Heisenberg models with Dzyaloshinskii–Moriya interactions

“…For the special case with D z = 0 (the purple lines labeled with ' '), the results are consistent with those given in Ref. [33]. Comparing Figs.…”

“…(color online) The SW is plotted as a function of the external magnetic field B for different D z in kT = 0.1 (a) with J x = 0.8, J y = J z = 0; and in kT = 0.4 (b) with J x = 0.8, J y = J z = 0.Figures 3(a) and 3(b) show the SW versus the external magnetic field B for fixed temperatures kT = 0.1 and kT = 0.4, respectively.Generally, in the strong magnetic field limit, |B| → ∞, SW → 1, for different DM interactions. For the special case with D z = 0 (the purple lines labeled with ' '), the results are consistent with those given in Ref [33]…”

Improving the bidirectional steerability between two accelerated partners via filtering process

“…As quantum systems inevitably interact with the different environments, it is necessary to discuss the influence of these environments on the steering process. For instance, the effect of asymmetric dissipation relativistic motion [28], finite temperature [29], non-Markovian environment on the steering [30], and noise channel [31] have been discussed. The steering entropic uncertainty of the qutrit system under amplitude damping decoherence has been examined [32].…”

Decoherence and quantum steering of accelerated qubit-qutrit system

“…Theoretically, quantum steering and its steerability can be reported for different quantum system via violating the steering inequalities. For example, it has been discussed for bipartite two-qubit X-state [11][12][13], optical cavity according to multipartite system [14], Heisenberg chain model [15,16], two-level or three-level detectors [17,18]. As quantum systems interact with several surrounding environments, it was essential to indicate the effect of these surroundings on the steering correlation [19,20].…”