arXiv subjects

Hana Vargová

Publications and source records attributed to Hana Vargová.

9 recordsLinked to original sources

arXiv2026

Entanglement-entropy analysis of critical and topological quantum phases in a frustrated spin-1/2 Heisenberg ladder

We investigate the ground-state phase diagram of a frustrated spin-1/2 Heisenberg ladder in the transverse magnetic field with an anisotropic inter-rung exchange coupling $α$. This bond-anisotropic parameter continuously interpolates among the Ising-like limit $α=0$, the isotropic point $α=1$, and the XY-dominated regime $α\gg 1$. Using density-matrix renormalization group calculations within a matrix-product-state framework, we analyze bipartite entanglement, magnetization, and spin correlations to characterize the emergent quantum phases. We identify six distinct ground-state phases, including rung-singlet, Haldane-like, Tomonaga-Luttinger liquid, canted Ising-ordered, XY-polarized, and ordered ferromagnetic states. While magnetization and local correlations provide a first insight into phase classifications, the finite-size scaling of the entanglement measures offers a more sensitive and unified diagnostics of both gapped and gapless regimes. In the gapless regime, we extract the central charge $c \simeq 1$, confirming Tomonaga-Luttinger liquid behavior, while at the transition between the canted Ising and ferromagnetic phases, we observe $c \simeq 1/2$, consistent with the Ising universality. Finally, we find that both the Haldane-like behavior and the extended critical Tomonaga-Luttinger liquid regime are strongly confined to the vicinity of the isotropic point $α= 1$.

quant-ph↗

arXiv2025

Effect of Single-Ion Anisotropy on Stability of Quantum and Thermal Entanglement in a Mixed-Spin Heisenberg Trimer

The effect of uniaxial single-ion anisotropy on quantum entanglement is rigorously quantified using negativity in a mixed spin-($1$,$1/2$,$1$) Heisenberg trimer, accounting for different exchange coupling constants between identical and distinct spins. Bipartite negativities between the single-spin entity and the remaining spin dimer are analyzed alongside the global tripartite negativity (gTN) of the whole trimer under the effect of an external magnetic field and both easy-axis and easy-plane types of single-ion anisotropy. Interestingly, the single-ion anisotropy significantly influences the degree of entanglement by altering the stability regions of energetically preferred ground states and it may also introduce additional phases in the overall ground-state phase diagram. Moreover, it is demonstrated that within specific ground states, the degree of entanglement primarily depends on the strength of single-ion anisotropy, altering the respective probability amplitudes of the corresponding eigenvectors. Finally, the thermal stability of entanglement is discussed in detail, including the emergence of a peculiar local minimum at finite temperatures. The obtained theoretical results may offer deeper insights into bipartite and tripartite entanglement in trimetallic Ni$^{2+}$-Cu$^{2+}$-Ni$^{2+}$ molecular compounds.

quant-ph↗

arXiv2025

Robust global tripartite entanglement in a mixed spin-($1$,$1/2$,$1$) Heisenberg trimer

We rigorously analyze the global tripartite entanglement in a Heisenberg trimer with mixed spins-($1$,$1/2$,$1$) under varying exchange couplings between dissimilar and identical spins, magnetic fields, and temperatures. The global tripartite entanglement is quantified using the geometric mean of all three bipartite contributions, evaluated through negativity. We precisely map the regions of parameter space in which the trimer system exhibits spontaneous global entanglement. In addition, we classify the nature of the tripartite entangled states based on the distribution of reduced bipartite negativities among the spin dimers in the trimer. We further examine the thermal stability of global tripartite entanglement throughout the full parameter space. Special attention is given to the theoretical prediction of thermal robustness in a real three-spin complex, [Ni(bapa)(H$_2$0)]$_2$Cu(pba)(ClO$_4$)$_2$, where bapa stands for bis($3$-aminopropyl)amine, and pba denotes $1$,$3$-propylenebis(oxamato), which serves as an experimental realization of the mixed-spin ($1$,$1/2$,$1$) Heisenberg trimer. Notably, global entanglement in this system is predicted to persist up to approximately $100$ K and magnetic fields approaching $210$ T. Moreover, we uncover a thermally induced activation of robust global entanglement in regions where the ground state is biseparable. The magnitude of this thermal entanglement is remarkably high, nearly reaching a value of $1/2$, which has not been reported before. Finally, we propose a connection between the theoretically predicted tripartite entanglement, quantified via negativity derived from the density matrix, and the quantities measured directly or indirectly from various experiments.

quant-ph↗

arXiv2025

The quantification of a genuine tetrapartite entanglement in a mixed spin-(1/2,1) Heisenberg tetramer

The genuine tetrapartite entanglement of a mixed spin-(1/2,1) Heisenberg tetramer is quantified according to the three different approaches incorporated all seven global bisections existing within the tetrapartite system. The degree of entanglement of each bisection is evaluated through the bipartite negativity at zero and non-zero temperature taking into account ferromagnetic and antiferromagnetic type of intra- ($J$) and inter-dimer ($J_1$) exchange coupling inside the square plaquette. Three utilized quantification methods based on the generalization of (i) a genuine tripartite negativity, (ii) a Coffman, Kundu and Wootters monogamy relation and (iii) a geometric average of complete trisections, result to the qualitatively and almost quantitatively identical behavior of a genuine tetrapartite negativity. It is shown that the genuine tetrapartite negativity exclusively arises from the antiferromagnetic-inter dimer $J_1>0$ coupling, whereas the character of with respect to $J$ ($J>0$ or $J<0$) determines its zero-temperature magnitude and its thermal stability with respect to the magnetic field and temperature. As is demonstrated for $0<J_1/J<1$ the genuine tetrapartite negativity is dramatically reduced due to the preference of magnetic arrangement involving two separable mixed spin-(1/2,1) dimers. In an opposite limit the genuine tetrapartite negativity is significantly stable with a threshold temperature proportional to the strength of an inter-dimer coupling $J_1$. It is found, that all three quantification procedures are insufficient to correctly describe the genuine tetrapartite negativity in a specific part of the parameter space with absence of relevant dimer separable states. Finally, the thermal stability of a genuine tetrapartite negativity is discussed in detail for selected geometries motivated by the real tetranuclear bimetallic complexes with a Cu$_2$Ni$_2$ magnetic core.

quant-ph↗

arXiv2023

Genuine tripartite entanglement in a mixed spin-(1/2,1) Heisenberg tetramer

A genuine tripartite entanglement of a mixed spin-(1/2,1) Heisenberg tetramer is rigorously analyzed in a presence of external magnetic field. The couple of mixed spin-(1/2,1) dimers is arranged in a perfect rectangular square plaquette involving two nonequivalent Heisenberg exchange couplings $J$ and $J_1$. The degree of a genuine tripartite entanglement is evaluated according to the genuine tripartite negativity ${\cal N}_{ABC}$ defined as a geometric mean of all possible bipartite negativities corresponding to a decomposition into a single spin and the remaining spin dimer ${\cal N}_{A|BC}$, ${\cal N}_{B|AC}$ and ${\cal N}_{C|AB}$ after degrees of freedom of the last fourth spin $D$ are traced out. Due to the symmetry of a mixed spin-(1/2,1) Heisenberg tetramer two different genuine tripartite negativities for the trimeric system $1/2\!-\!1\!-\!1$ and $1/2\!-\!1/2\!-\!1$ were identified. It was found that the genuine tripartite negativity for the interaction ratio $J_1/J\!<\!1$ becomes nonzero solely in the tripartite system $1/2\!-\!1\!-\!1$ at low-enough magnetic fields. The opposite interaction limit $J_1/J\!>\!1$ gives rise to the nonzero genuine tripartite negativity in both tripartite systems in a presence of external magnetic field until the classical ferromagnetic state is achieved. It was shown, that the genuine tripartite negativity of a mixed spin-(1/2,1) Heisenberg tetramer can be detected also at nonzero temperatures. An enhancement of the thermal genuine tripartite negativity through the enlargement of the total spin number of a tripartite system is evidenced. The correlation between the bipartite negativity of two spins and the genuine tripartite negativity is discussed in detail.

quant-ph↗

arXiv2023

Distribution of a bipartite entanglement in a mixed spin-(1/2,1) Heisenberg tetramer

The distribution of bipartite entanglement in a mixed spin-(1/2,1) Heisenberg tetramer composed from two spin-1/2 and two spin-1 entities is investigated in detail in presence of an external magnetic field. Four different negativities measuring a strength of bipartite entanglement are analyzed at zero and non-zero temperatures. Derived rigorous analytic results and respective numerical results are discussed with the particular emphasis laid on the significance of a strength of the pair spin-spin interactions and spin diversity in the entanglement description. Based on both aforementioned driving forces the regions of parametric space, where the bipartite entanglement can exist solely for one type of spin pair or all four spin pairs, were identified.

quant-ph↗

arXiv2023

Conventional and inverse magnetocaloric and electrocaloric effects of a mixed spin-(1/2, 1) Heisenberg dimer

The mixed spin-(1/2, 1) Heisenberg dimer accounting for two different Landé $g$-factors is exactly examined in presence of external magnetic and electric field by considering exchange as well as uniaxial single-ion anisotropies. Rigorously calculated ground-state phase diagrams affirm existence of three different types of zero-temperature phase transitions accompanied with a non-zero value of a residual entropy. Presence of a magnetoelectric effect accounted within Katsura-Nagaosa-Balatsky mechanism is demonstrated through the analyzis of the magnetization and dielectric polarization in response to both external fields. The analyzis of two basic magnetocaloric characteristics, the adiabatic change of temperature and the isothermal entropy change, achieved upon variation of external fields, are exactly calculated in order to investigate the (multi)caloric behavior. The obtained results confirm existence of both conventional as well as inverse magnetocaloric effects. Utilizing the refrigeration capacity coefficient it is found that the application of an electric field during the adiabatic demagnetization process may lead to an enhancement of cooling performance in the region of conventional magnetocaloric effect. On the other hand, a sufficiently large electric field can reduce an inverse caloric effect provided that the electric-field-induced transition from the fully to partially polarized state is realized.

quant-ph↗

arXiv2021

Unconventional thermal and magnetic-field-driven changes of a bipartite entanglement of a mixed spin-(1/2,$S$) Heisenberg dimer with an uniaxial single-ion anisotropy

The concept of negativity is adapted in order to explore the quantum and thermal entanglement of the mixed spin-(1/2,$S$) Heisenberg dimers in presence of an external magnetic field. The mutual interplay between the spin size $S$, XXZ exchange and uniaxial single-ion anisotropy is thoroughly examined with a goal to tune the degree and thermal stability of the pairwise entanglement. It turns out that the antiferromagnetic spin-(1/2,$S$) Heisenberg dimers exhibit higher degree of entanglement and higher threshold temperature in comparison with their ferromagnetic counterparts when assuming the same set of model parameters. The increasing spin magnitude $S$ accompanied with an easy-plane uniaxial single-ion anisotropy can enhance not only the thermal stability but simultaneously the degree of entanglement. It is additionally shown that the further enhancement of a bipartite entanglement can be achieved in the mixed spin-(1/2,$S$) Heisenberg dimers, involving half-odd-integer spins $S$. Under this condition the thermal negativity saturates at low-enough temperatures in its maximal value regardless of the magnitude of half-odd-integer spin $S$. The magnetic field induces consecutive discontinuous phase transitions in the mixed spin-(1/2,$S$) Heisenberg dimers with $S\!>\!1$, which are manifested in a surprising oscillating magnetic-field dependence of the negativity observed at low enough temperature.

cond-mat.stat-mech↗

arXiv2021

Effect of an uniaxial single-ion anisotropy on the quantum and thermal entanglement of a mixed spin-(1/2,$S$) Heisenberg dimer

Exact analytical diagonalization is used to study the bipartite entanglement of the antiferromagnetic mixed spin-(1/2,$S$) Heisenberg dimer (MSHD) with the help of negativity. Under the assumption of uniaxial single-ion anisotropy affecting higher spin-$S$ ($S\!>\!1/2$) entities only, the ground-state degeneracy $2S$ is partially lifted and the ground state is two-fold degenerate with the total magnetization per dimer $\pm(S\!-\!1/2)$. It is shown that the largest quantum entanglement is reached for the antiferromagnetic ground state of MSHD with arbitrary half-odd-integer spins $S$, regardless of the exchange and single-ion anisotropies. Contrary to this, the degree of a quantum entanglement in MSHD with an integer spin $S$ for the easy-plane single-ion anisotropy, exhibits an increasing tendency with an obvious spin-$S$ driven crossing point. It is shown that the increasing spin magnitude is a crucial driving mechanism for an enhancement of a threshold temperature above which the thermal entanglement vanishes. The easy-plane single-ion anisotropy together with an enlargement of the spin-$S$ magnitude is other significant driving mechanism for an enhancement of the thermal entanglement in MSHD.

quant-ph↗