Temperature-field phase diagrams of one-way quantum work deficit in two-qubit XXZ spin systems

Yurischev, M. A.

doi:10.1007/s11128-020-2610-1

Cited by 12 publications

(7 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…γ represents the decoherence rate. The Hamiltonian Ĥ of the two 1 2 -spins isotropic Heisenberg XXX chain with DM and KSEA x-direction interactions, is [26,27]:…”

Section: The Intrinsic Decoherence Two-spin Modelmentioning

confidence: 99%

“…Previously, the two-qubit quantum information resources have been investigated in several Heisenberg spin chain models [25,26]. The effects of Dzyaloshinskii-Moriya (DM) and Kaplan-Shekhtman-Entin-Wohlman-Aharony (KSEA) interactions on the two-spin nonlocality in Heisenberg XYZ chain models were studied at thermal equilibrium [27,28]. It is discovered through these research that adding the DM and KSEA z-component interactions to the Heisenberg spin chain can improve the generation of the two-qubit quantum information resources.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dynamics of two-qubit quantum nonlocality in a Heisenberg chain model with the intrinsic decoherence

et al. 2023

View full text Add to dashboard Cite

This paper investigates the dynamics of two-spin nonlocality generation in a Heisenberg XXX chain with Dzyaloshinskii-Moriya (DM) and Kaplan-Shekhtman-Entin-Wohlman-Aharony (KSEA) interactions. We analyze the two-spin nonlocality dynamics by using uncertainty-induced nonlocality, maximal Bell inequality, and log-negativity. We demonstrate that a separable two-spin Heisenberg XXX chain state, induced by two-spin antiferromagnetic interaction as well as x-component of DM and KSEA interactions, could evolve to maximal two-spin nonlocality state. The ability of preserving the maximal uncertainty-induced nonlocality can be enhanced by increasing the coupling strength of the spin-spin interaction coupling. The hierarchy principle is maintained for the two-spin Bell nonlocality and log-negativity entanglement. The two-spin log-negativity dynamics exhibits the phenomenon of sudden death and birth as a result of the intrinsic decoherence, which also causes a reduction in the two-spin nonlocalities. The two-spin uncertainty-induced nonlocality is more robust, against the intrinsic decoherence, than the other types of the nonlocality. The results indicate that by boosting the two-spin antiferromagnetic interaction, the produced nonlocalities (resulting from the DM and KSEA x-component interactions) can be shielded from the intrinsic decoherence effect.

show abstract

“…γ represents the decoherence rate. The Hamiltonian Ĥ of the two 1 2 -spins isotropic Heisenberg XXX chain with DM and KSEA x-direction interactions, is [26,27]:…”

Section: The Intrinsic Decoherence Two-spin Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamics of two-qubit quantum nonlocality in a Heisenberg chain model with the intrinsic decoherence

et al. 2023

View full text Add to dashboard Cite

show abstract

“…To further investigate the problem, we will use phase diagrams for the model that were obtained in the threedimensional space (s 1 , c 1 , c 3 ) [32] and in the plane (T, B) for different values of J and J z [40]. Phase diagrams consist of two regions with fixed optimal measurement angles (0 and π/2) and one region with variable, statedependent optimal measurement angle ϑ. Boundary between ∆ 0 and ∆ π/2 phases is given by equation ∆ 0 = ∆ π/2 .…”

Section: Sudden Transitions Of Work Deficitmentioning

confidence: 99%

Landau-type sudden transitions of quantum correlations

Yurischev

2022

Preprint

View full text Add to dashboard Cite

Sudden changes of quantum correlations in the Bell-diagonal states are well-known effects. They occur when the set of optimal parameters that determine the quantum correlation consists of isolated points and optimal parameters during the evolution of the system jump from one such point to another (e.g., the optimal measurement angle of the quantum discord changes discontinuously from zero to π/2 or vice versa). However, when considering more general X quantum states, we found that quantum discord and one-way quantum work deficit can experience sudden changes of other kinds. Namely, the optimal measurement angle may suddenly start to shift continuously from its stationary value 0 or π/2 to an intermediate optimal measurement angle ϑ ∈ (0, π/2). This leads to a new behavior of quantum correlations, which is mathematically described by the Landau phenomenological theory of second-order phase transitions. In addition, for the one-way quantum work deficit, we found cases where the optimal measurement angle jumps from zero to a nonzero step less than π/2, and then continuously changes its value. This behavior of quantum correlation is similar to a first-order phase transition in Landau's theory. Dependencies of quantum discord and one-way quantum work deficit near the boundaries, which separate regions with state-dependent (variable) and state-independent (stationary, constant) optimal measurement angles, are examined in detail on an example of the XXZ spin model in an external field at thermal equilibrium.

show abstract

“…Initially, the concurrence of entanglement measure haves been used to employed to explore the XY model [8][9][10]. The association between critical points and entanglement in the XXZ chain [11] has been demonstrated. [24].…”

Section: Introductionmentioning

confidence: 99%

Quantum coherence and Rényi mutual information in Heisenberg XYZ system under non-uniform field

Ye,

Zhang

2024

Laser Phys. Lett.

View full text Add to dashboard Cite

We investigate the thermal and magnetic quantum coherence in the Heisenberg XYZ system. To accomplish this, we employ three measures: the L1 norm coherence, the relative entropy coherence, and the Rényi mutual information (RMI). By performing these measures, we can accurately describe the quantum behaviors of the Heisenberg XYZ system. During the process of characterization, we have found both similarities and distinctive properties. Under a non-uniform field, the magnetic field can enhance the RMI for different coefficients α. All of the analytical and numerical results are described in details.

show abstract

Temperature-field phase diagrams of one-way quantum work deficit in two-qubit XXZ spin systems

Cited by 12 publications

References 43 publications

Dynamics of two-qubit quantum nonlocality in a Heisenberg chain model with the intrinsic decoherence

Dynamics of two-qubit quantum nonlocality in a Heisenberg chain model with the intrinsic decoherence

Landau-type sudden transitions of quantum correlations

Quantum coherence and Rényi mutual information in Heisenberg XYZ system under non-uniform field

Contact Info

Product

Resources

About