Classical bifurcation in a quadrupolar NMR system

Araujo-Ferreira, A. G.; Auccaise, R.; Sarthour, R. S.; Bonagamba, Tito J.; Roditi, I.

doi:10.1103/physreva.87.053605

Cited by 33 publications

(34 citation statements)

References 28 publications

(57 reference statements)

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“…Analyses of how the presence of an ESQPT affects the system dynamics are more restricted . Yet, they are essential for the potential detection of ESQPTs with experiments where dynamics is routinely studied, such as those with ion traps , Bose Einstein condensates , and nuclear magnetic resonance platforms . The last two experimental set‐ups , in particular, reported the observation of the phenomenon of bifurcation, which has been intimately connected with QPTs.…”

Section: Introductionmentioning

confidence: 99%

Effects of excited state quantum phase transitions on system dynamics

Pérez‐Bernal

Santos

2016

Fortschritte der Physik

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This work is concerned with the excited state quantum phase transitions (ESQPTs) defined in Ann.Phys. 323, 1106 (2008). In many-body models that exhibit such transitions, the ground state quantum phase transition (QPT) occurs in parallel with a singularity in the energy spectrum that propagates to higher energies as the control parameter increases beyond the QPT critical point. The analysis of the spectrum has been a main tool for the detection of these ESQPTs. Studies of the effects of this transition on the system dynamics are more limited. Here, we extend our previous works and show that the evolution of an initial state with energy close to the ESQPT critical point may be extremely slow. This result is surprising, because it may take place in systems with long-range interactions, where the dynamics is usually expected to be very fast. A timely example is the one-dimensional spin-1/2 model with infinite-range Ising interaction studied in experiments with ion traps. Its Hamiltonian has a U(2) algebraic structure. More generally, the slow dynamics described here occurs in two-level bosonic or fermionic models with pairing interactions and a U(v+1) Hamiltonian exhibiting a QPT between its limiting U(v) and SO(v+1) dynamical symmetries. In this work, we compare the results for v=1, 2, and 3.Comment: 6 pages, 4 figures, accepted at the FQMT15 special volume of the Fortschritte der Physi

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Section: Introductionmentioning

confidence: 99%

Effects of excited state quantum phase transitions on system dynamics

Pérez‐Bernal

Santos

2016

Fortschritte der Physik

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“…An actual subject of research is the study of quantum correlations at room temperature, specifically the determination of quantum discord in NMR, which could also be studied in the NQR context [24,25]. Many recent proposals of QIP in NMR quadrupole systems, such as the study of coherent spin states [26] and bifurcation [27], could also be studied by NQR.…”

Section: Resultsmentioning

confidence: 99%

Experimental implementation of quantum information processing by Zeeman-perturbed nuclear quadrupole resonance

Teles

Rivera-Ascona

Polli

et al. 2015

Quantum Inf Process

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Nuclear magnetic resonance (NMR) has been widely used in the context of quantum information processing (QIP). However, despite the great similarities between NMR and nuclear quadrupole resonance (NQR), no experimental implementation for QIP using NQR has been reported. We describe the implementation of basic quantum gates and their applications on the creation of pseudopure states using linearly polarized radiofrequency pulses under static magnetic field perturbation. The NQR quantum operations were implemented using a single crystal sample of KClO 3 and observing 35 Cl nuclei, which posses spin 3/2 and give rise to a 2-qubit system. The results are very promising and indicate that NQR can be successfully used for performing fundamental experiments in QIP. One advantage of NQR in comparison to NMR is that the main interaction is internal to the sample, which makes the system more compact, lowering its cost and making it easier to be miniaturized to solid state devices.

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“…We believe that the models proposed, as they can furnish precise results on physical quantities as the energy gap, entanglement and ground state fidelity, have potential applications in studies such as those involving quantum metrology [3,52,53] in the context of ultracold atoms. Also, the obtained Hamiltonians may be useful in the context of NMR techniques [44,49,50] as an alternative to the usual nuclear quadrupole Hamiltonian.…”

Section: Discussionmentioning

confidence: 99%

A bosonic multi-state two-well model

Santos¹,

Foerster²,

Roditi³

2013

J. Phys. A: Math. Theor.

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Abstract. Inspired by the increasing possibility of experimental control in ultracold atomic physics we introduce a new Lax operator and use it to construct and solve models with two wells and two on well states together with its generalization for n on well states. The models are solved by the algebraic Bethe ansatz method and can be viewed as describing two Bose-Einstein condensates allowing for an exchange interaction through Josephson tunneling.

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Classical bifurcation in a quadrupolar NMR system

Cited by 33 publications

References 28 publications

Effects of excited state quantum phase transitions on system dynamics

Effects of excited state quantum phase transitions on system dynamics

Experimental implementation of quantum information processing by Zeeman-perturbed nuclear quadrupole resonance

A bosonic multi-state two-well model

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