Bound state dynamics in the long-range spin-$\frac{1}{2}$ XXZ model
- URL: http://arxiv.org/abs/2110.01760v1
- Date: Tue, 5 Oct 2021 00:33:50 GMT
- Title: Bound state dynamics in the long-range spin-$\frac{1}{2}$ XXZ model
- Authors: T. Macr\`i, L. Lepori, G. Pagano, M. Lewenstein, and L. Barbiero
- Abstract summary: We study the effects of such non-local couplings in the long-range spin-$1/2$ XXZ Heisenberg Hamiltonian.
For fast decay of the spin-spin couplings, we find that the two-spin energy spectrum is characterized by well-defined discrete values.
On the other hand, two-spin bound states enable the dynamical stabilization of effective antiferromagnetic states.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Experimental platforms based on trapped ions, cold molecules, and Rydberg
atoms have made possible the investigation of highly-nonlocal spin-${1/2}$
Hamiltonians with long-range couplings. Here, we study the effects of such
non-local couplings in the long-range spin-${1/2}$ XXZ Heisenberg Hamiltonian.
We calculate explicitly the two-spin energy spectrum, which describes all
possible energetic configurations of two spins pointing in a specific direction
embedded in a background of spins with opposite orientation. For fast decay of
the spin-spin couplings, we find that the two-spin energy spectrum is
characterized by well-defined discrete values, corresponding to bound states,
separated by a set of continuum states describing the scattering region. In the
deep long-range regime instead, the bound states disappear as they get
incorporated by the scattering region. The presence of two-spin bound states
results to be crucial to determine both two- and many-spin dynamics. On one
hand, radically different two-spin spreadings can be observed by tuning the
decay of the spin couplings. On the other hand, two-spin bound states enable
the dynamical stabilization of effective antiferromagnetic states in the
presence of ferromagnetic couplings. Finally, we propose a novel scheme based
on a trapped-ion quantum simulator to experimentally realize the long-range XXZ
model and to study its out-of-equilibrium properties.
Related papers
- Spin resolved momentum spectra for vacuum pair production via a generalized two level model [17.44597560204009]
We have formulated a generalized two level model for studying the pair production in multidimensional time-dependent electric fields.
It can provide momentum spectra with fully spin resolved components for all possible combined spin states of the particle and anti-particle simultaneously.
It is believed that by this two level model one can extend researches on pair production for more different background fields.
arXiv Detail & Related papers (2024-09-18T09:33:40Z) - Waveguide QED at the onset of spin-spin correlations [36.136619420474766]
We find that molecules belonging to the crystal sublattice B form one-dimensional spin chains.
The microwave transmission shows evidences for the collective coupling of quasi-identical spins to the propagating photons.
arXiv Detail & Related papers (2024-04-04T18:00:05Z) - Tunable topological phases in nanographene-based spin-1/2
alternating-exchange Heisenberg chains [8.1791518522452]
We present a versatile platform enabling site-selective spin manipulation in many-body spin systems.
Our findings are corroborated by theoretical calculations, opening promising avenues toward the development of spin-based quantum devices.
arXiv Detail & Related papers (2024-02-21T07:45:05Z) - Scalable spin squeezing in two-dimensional arrays of dipolar large-$S$
spins [0.0]
We show that spin-spin interactions lead to scalable spin squeezing along the non-equilibrium unitary evolution in a coherent spin state.
For sufficiently small quadratic shifts, the spin squeezing dynamics is akin to that produced by the paradigmatic one-axis-twisting (OAT) model.
Spin squeezing with OAT-like scaling is shown to be protected by the robustness of long-range ferromagnetic order to quadratic shifts.
arXiv Detail & Related papers (2023-09-11T10:32:24Z) - Conventional and unconventional Dicke models: Multistabilities and
nonequilibrium dynamics [0.0]
The stability and dynamics of the system in the thermodynamic limit are examined using a semiclassical approach.
We perform small-scale full quantum-mechanical calculations, with results consistent with the semiclassical ones.
arXiv Detail & Related papers (2023-07-11T18:00:12Z) - Spin-phonon decoherence in solid-state paramagnetic defects from first
principles [79.4957965474334]
Paramagnetic defects in diamond and hexagonal boron nitride possess a unique combination of spin and optical properties that make them solid-state qubits.
Despite the coherence of these spin qubits being critically limited by spin-phonon relaxation, a full understanding of this process is not yet available.
We demonstrate that low-frequency two-phonon modulations of the zero-field splitting are responsible for spin relaxation and decoherence.
arXiv Detail & Related papers (2022-12-22T13:48:05Z) - Probing dynamics of a two-dimensional dipolar spin ensemble using single
qubit sensor [62.997667081978825]
We experimentally investigate individual spin dynamics in a two-dimensional ensemble of electron spins on the surface of a diamond crystal.
We show that this anomalously slow relaxation rate is due to the presence of strong dynamical disorder.
Our work paves the way towards microscopic study and control of quantum thermalization in strongly interacting disordered spin ensembles.
arXiv Detail & Related papers (2022-07-21T18:00:17Z) - Spin-spin coupling-based quantum and classical phase transitions in
two-impurity spin-boson models [55.41644538483948]
Two-interacting-impurity spin-boson models with vanishing transverse fields on the spin-pair are studied.
The dynamics of the magnetization is analysed for different levels of (an)isotropy.
arXiv Detail & Related papers (2022-05-19T08:01:03Z) - Precession of entangled spin and pseudospin in double quantum dots [0.0]
Quantum dot spin valves are characterized by exchange fields which induce spin precession and generate current spin resonances.
We generalize this setup to allow for arbitrary spin and orbital polarization of the leads.
We observe for both vectors a delicate interplay of decoherence, pumping and precession which can only be understood by considering the dynamics of the spin-pseudospin correlators.
arXiv Detail & Related papers (2022-02-08T23:00:00Z) - 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) - Measurable fractional spin for quantum Hall quasiparticles on the disk [0.0]
We study the spin of the localised quasiparticles of lowest-Landau-level quantum Hall states defined on a disk.
Since it is related to the quadrupole moment of the quasiparticle charge distribution, it can be measured in an experiment.
arXiv Detail & Related papers (2021-12-06T09:53:54Z)
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.