Thermal entanglement in $2\otimes3$ Heisenberg chains via distance
between states
- URL: http://arxiv.org/abs/2103.02019v1
- Date: Tue, 2 Mar 2021 20:48:25 GMT
- Title: Thermal entanglement in $2\otimes3$ Heisenberg chains via distance
between states
- Authors: Saulo Luis Lima da Silva
- Abstract summary: We present for the first time an analytical way of calculating thermal entanglement in a dimension $2otimes3$ Heisenberg chain through the distance between states.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Most of the work involving entanglement measurement focuses on systems that
can be modeled by two interacting qubits. This is due to the fact that there
are few studies presenting entanglement analytical calculations in systems with
spins $s > 1/2$. In this paper we present for the first time an analytical way
of calculating thermal entanglement in a dimension $2\otimes3$ Heisenberg chain
through the distance between states. We use the Hilbert-Schmidt norm to obtain
entanglement. The result obtained can be used to calculate entanglement in
chains with spin-$1/2$ coupling with spin-$1$, such as ferrimagnetic compounds
as well as compounds with dimer-trimer coupling.
Related papers
- Slow Mixing of Quantum Gibbs Samplers [47.373245682678515]
We present a quantum generalization of these tools through a generic bottleneck lemma.
This lemma focuses on quantum measures of distance, analogous to the classical Hamming distance but rooted in uniquely quantum principles.
Even with sublinear barriers, we use Feynman-Kac techniques to lift classical to quantum ones establishing tight lower bound $T_mathrmmix = 2Omega(nalpha)$.
arXiv Detail & Related papers (2024-11-06T22:51:27Z) - Molecular Nanomagnet $\text{Cu}^\text{II}\text{Ni}^\text{II}\text{Cu}^\text{II}$ as Resource for Quantum Entanglement, Coherence, and Spin Squeezing [0.0]
We investigate key quantum characteristics of the mixed spin-(1/2,1,1/2) Heisenberg trimer under the influence of an external magnetic field.
Bipartite and tripartite entanglement persists even at relatively high temperatures up to $37,textK$ and magnetic fields up to $50,textT.
arXiv Detail & Related papers (2024-07-09T16:58:34Z) - Hamiltonians for Quantum Systems with Contact Interactions [49.1574468325115]
We show that in the limit one obtains the one-body Hamiltonian for the light particle subject to $N$ (non-local) point interactions placed at fixed positions.
We will verify that such non-local point interactions do not exhibit the ultraviolet pathologies that are present in the case of standard local point interactions.
arXiv Detail & Related papers (2024-07-09T14:04:11Z) - Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors [46.76612530830571]
We consider a quantum many-body lattice system that is coupled to ancillary degrees of freedom (detectors'')
We explore the dynamics of density and of entanglement entropy in the chain, for various values of $rho_a$ and $M$.
arXiv Detail & Related papers (2023-11-21T21:41:11Z) - Cooperative quantum tunneling of the magnetization in Fe-doped Li$_3$N [0.0]
The spin-reversal in dilute Li$$$(Li$_1-x$Fe$_x$)N with $x 1$ % is dominated by resonant quantum tunneling of spatially well-separated states.
We report on the effect of finite couplings between those states that give rise to cooperative, simultaneous quantum tunneling of two spins.
arXiv Detail & Related papers (2023-10-27T14:59:42Z) - Weak universality, quantum many-body scars and anomalous
infinite-temperature autocorrelations in a one-dimensional spin model with
duality [0.0]
We study a one-dimensional spin-$1/2$ model with three-spin interactions and a transverse magnetic field $h$.
We compute the critical exponents $z$, $beta$, $gamma$ and $nu$, and the central charge $c$.
For a system with periodic boundary conditions, there are an exponentially large number of exact mid-spectrum zero-energy eigenstates.
arXiv Detail & Related papers (2023-07-20T18:00:05Z) - Models for quantum measurement of particles with higher spin [0.0]
The Curie-Weiss model for quantum measurement describes the measurement of a spin-$frac12$ by an apparatus consisting of an Ising magnet of many spins.
The Hamiltonian of the magnet, its entropy and the interaction Hamiltonian possess an invariance under the permutation $sto s+1$ mod $2l+1$.
arXiv Detail & Related papers (2023-03-07T11:57:11Z) - Laboratory-frame tests of quantum entanglement in $H \to WW$ [0.0]
Quantum entanglement between the two $W$ bosons resulting from the decay of a Higgs boson may be investigated in the dilepton channel $H to WW to ell nu ell nu$
The dilepton invariant mass distribution, already measured by the ATLAS and CMS Collaborations at the LHC, can be used to observe the quantum entanglement of the $WW$ pair.
arXiv Detail & Related papers (2022-09-28T12:22:12Z) - Understanding the propagation of excitations in quantum spin chains with
different kind of interactions [68.8204255655161]
It is shown that the inhomogeneous chains are able to transfer excitations with near perfect fidelity.
It is shown that both designed chains have in common a partially ordered spectrum and well localized eigenvectors.
arXiv Detail & Related papers (2021-12-31T15:09:48Z) - Partitioning dysprosium's electronic spin to reveal entanglement in
non-classical states [55.41644538483948]
We report on an experimental study of entanglement in dysprosium's electronic spin.
Our findings open up the possibility to engineer novel types of entangled atomic ensembles.
arXiv Detail & Related papers (2021-04-29T15:02:22Z) - $\mathcal{P}$,$\mathcal{T}$-odd effects for RaOH molecule in the excited
vibrational state [77.34726150561087]
Triatomic molecule RaOH combines the advantages of laser-coolability and the spectrum with close opposite-parity doublets.
We obtain the rovibrational wave functions of RaOH in the ground electronic state and excited vibrational state using the close-coupled equations derived from the adiabatic Hamiltonian.
arXiv Detail & Related papers (2020-12-15T17:08:33Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.