Quantum simulation of superexchange magnetism in linear ion crystals

Ivanov, Peter A.; Karchev, Naoum; Vitanov, Nikolay V.; Angelakis, Dimitris G.

doi:10.1103/physreva.90.012325

Cited by 4 publications

(3 citation statements)

References 48 publications

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“…The peak is shifted by 0.0097 a.u. due to the considered correction roughly, which is analogous with the results reported in Ref [9]…”

supporting

confidence: 90%

Kramers–Henneberger Form of Strong Field Theory with the Correction of Dipole Approximation

Huo

2018

Chinese Phys. Lett.

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We show that the breakdown of dipole approximation can be adopted to explain the asymmetry structure in the photoelectron momentum distributions along the beam propagation direction, which is defined as the photoelectron longitudinal momentum distributions (PLMD), in tunneling regime (γK ≪ 1), based on the strong field approximation theory. The nondipole Hamiltonian for photoelectrons interacting with laser fields from a hydrogen-like atom is transformed into the Kramers–Henneberger frame in our model. To introduce the correction of dipole approximation, the spatial variable is kept in a vector potential A(r, t), demonstrating that the breakdown of dipole approximation is the major reason for the shift of the peak in PLMD. The nondipole effects are apparent when circularly polarized lasers are adopted to ionize the atoms, and clear tendency to increase offsets is found for increasing laser intensities.

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“…The peak is shifted by 0.0097 a.u. due to the considered correction roughly, which is analogous with the results reported in Ref [9]…”

supporting

confidence: 90%

Kramers–Henneberger Form of Strong Field Theory with the Correction of Dipole Approximation

Huo

2018

Chinese Phys. Lett.

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“…For example, spin models with higher spin length may exhibit novel topological phases described by a hidden order parameter [1]. Moreover, various strongly interacting spin-boson systems can be mapped onto coupled spin models [2][3][4]. Apart from the methods used to solve analytically various spin-1/2 systems, in general, models with s > 1/2 are highly complex and do not permit analytical treatment.…”

Section: Introductionmentioning

confidence: 99%

Spin-1/2 sub-dynamics nested in the quantum dynamics of two coupled qutrits

Grimaudo

Messina

Ivanov

et al. 2017

J. Phys. A: Math. Theor.

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In this paper we investigate the quantum dynamics of two spin-1 systems, S 1 and S 2 , adopting a generalized ( S 1 + S 2 ) 2 -nonconserving Heisenberg model. We show that, due to its symmetry property, the nine-dimensional dynamics of the two qutrits exactly decouples into the direct sum of two sub-dynamics living in two orthogonal four-and five-dimensional subspaces. Such a reduction is further strengthened by our central result consisting in the fact that in the four-dimensional dynamically invariant subspace, the two qutrits quantum dynamics, with no approximations, is equivalent to that of two non interacting spin 1/2's. The interpretative advantages stemming from such a remarkable and non-intuitive nesting are systematically exploited and various intriguing features consequently emerging in the dynamics of the two qutrits are deeply scrutinised. The possibility of exploiting the dynamical reduction brought to light in this paper for exactly treating as well time-dependent versions of our Hamiltonian model is briefly discussed.

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“…The desired Jahn-Teller coupling can be realized by the interaction of the spins with an oscillating magnetic field gradient [11,12]. Alternative realization of the Jahn-Teller coupling is based on the interaction of the ions with laser beams propagating in two orthogonal directions tuned near the respective red and blue sidebands [19]. The ion trap based realization of the cJT model offers unique opportunity to easy tuning the parametric regime of the couplings by adjusting for example the trap frequencies and the laser intensity.…”

Section: Implementation With Quantum Optical Systemsmentioning

confidence: 99%

Collective Modes in the Cooperative Jahn–Teller Model: Path Integral Approach

Ivanov

2015

J Low Temp Phys

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We discuss analytical approximations to the ground-state phase diagram and the elementary excitations of the cooperative Jahn-Teller model describing strongly correlated spin-boson system on a lattice in various quantum optical systems. Based on the mean-field theory approach we show that the system exhibits quantum magnetic structural phase transition which leads to magnetic ordering of the spins and formation of the bosonic condensates. We determine existing of one gapless Goldstone mode and two gapped amplitude modes inside the symmetry-broken phase.

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Quantum simulation of superexchange magnetism in linear ion crystals

Cited by 4 publications

References 48 publications

Kramers–Henneberger Form of Strong Field Theory with the Correction of Dipole Approximation

Kramers–Henneberger Form of Strong Field Theory with the Correction of Dipole Approximation

Spin-1/2 sub-dynamics nested in the quantum dynamics of two coupled qutrits

Collective Modes in the Cooperative Jahn–Teller Model: Path Integral Approach

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